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SPIRES-BOOKS: FIND KEYWORD NUMERIC COMPUTING *END*INIT* use /tmp/qspiwww.webspi1/5059.39 QRY 131.225.70.96 . find keyword numeric computing ( in books using www Cover
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Call number:SPRINGER-2016-9783319324289:ONLINE Show nearby items on shelf
Title:Programming for Computations - Python A Gentle Introduction to Numerical Simulations with Python
Author(s): Svein Linge
Date:2016
Size:1 online resource (232 p.)
Note:10.1007/978-3-319-32428-9
Contents:Preface -- The first few steps -- Basic constructions -- Computing integrals -- Solving ordinary differential equations -- Solving partial differential equations -- Solving nonlinear algebraic equations -- Getting access to Python -- References -- Index
ISBN:9783319324289
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Computational Science and Engineering: 15
Keywords: Mathematics , Numerical analysis , Computer mathematics , Computer software , Mathematics , Computational Science and Engineering , Numeric Computing , Mathematical Software , Numerical Analysis
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Call number:SPRINGER-2008-9780387781334:ONLINE Show nearby items on shelf
Title:Software for Algebraic Geometry [electronic resource]
Author(s): Michael Stillman
Jan Verschelde
Nobuki Takayama
Date:2008
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in boththeoretical advances and appli cations. Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packagesevolve continuously, incorporating new mathematical a dvances, they both motivate and demand the creation of new mathematics and smarter algorithms. This volume reflects the workshop Software for Algebraic Geometry held in the weekfrom 23 to 27 October 2006, as the second workshop in the thematic year on App lications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit,ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the rea der a broad view of current trends in computational algebraic geometry through software development and applications
Note:Springer eBooks
Contents:Software for Numerical Algebraic Geometry: A Paradigm and Progress Towards its Implementation
PHClab: A MATLAB/Octave Interface to PHCpack
Computing Grbner Fans and Tropical Varieties in Gfan
On a Conjecture for the Dimension of the Space of the Multiple Zeta Values
DEMiCs: A Software Package for Computing the Mixed Volume Via Dynamic Enumeration of all Mixed Cells
SYNAPS: A Library for Dedicated Applications in Symbolic Numeric Computing
Tropical Implicitization and Mixed Fiber Polytopes
Towards a Black
Box Solver for Finite Games: Computing All Equilibria With Gambit a
ISBN:9780387781334
Series:e-books
Series:SpringerLink (Online service)
Series:The IMA Volumes in Mathematics and its Applications, 0940-6573 : v148
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Computer science , Numerical analysis
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Call number:SPRINGER-2007-9783764379841:ONLINE Show nearby items on shelf
Title:Symbolic-Numeric Computation [electronic resource]
Author(s): Dongming Wang
Lihong Zhi
Date:2007
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations, two types of computation coexisting in mathematics yetseparated in traditional rese arch of mathematical computation. This book with 23 chapters presents original research and tutorial survey on the integration and interaction of symbolic and numeric computations. It represents the currentstate of the art and will serve as a valuable ref erence on the development of algorithms and software packages for hybrid symbolic-numeric computation. The book highlights the interaction between symbolic and numeric computations. Itcontains tutorial surveys by distinguished experts, covers recent advan ces on key topics, and provides effective methods illustrated with applications
Note:Springer eBooks
ISBN:9783764379841
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis
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Call number:SPRINGER-2005-9780387251134:ONLINE Show nearby items on shelf
Title:Mathematica for Theoretical Physics [electronic resource] : Electrodynamics, Quantum Mechanics, General Relativity and Fractals Volume 2
Author(s): Gerd Baumann
Date:2005
Edition:Second Edition
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematica for Theoretical Physics: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals This second edition of Baumann's Mathematica in Theoretical Physics shows readers how to solve physical problems and dealwith their underlying t heoretical concepts while using Mathematica to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adoptthe given code to related or similar problems. T he second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regularmechanics course. The second volume covers electrodynamics, quantum mech anics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactiveproblem-solving presentation. This book can be used as a textbook or as a reference work, by studen ts and researchers alike. A brief glossary of terms and functions is contained in the appendices. The examples given in the text canalso be interactively used and changed for the readers purposes. The Author, Gerd Baumann, is affiliated with the Mathemati cal Physics Division of the University of Ulm, Germany, where he is professor. He is the author of SymmetryAnalysis of Differential Equations with Mathematica. Dr. Baumann has given numerous invited talks at universities and industry alike. He regularly h osts seminars and lectures on symbolic computing at the University of Ulm and atTECHNISCHE UNIVERSITT MNCHEN (TUM), Munich
Note:Springer eBooks
Contents:Preface
Electrodynamics: Introduction
Potential and Electric Field of Discrete Charge Distributions
Boundary Problem of Electrostatics
Two Ions in the Penning Trap
Exercises
Packages and Programs
Quantum Mechanics: Introduction
The Schrdinger Equation
One Dimensional Potential
The Harmonic Oscillator
Anharmonic Oscillator
Motion in the Central Force Field
Second Virial Coefficient and Its Quantum Corrections
Exercises
Packages and Programs
General Relativity: Introduction
The Orbits in General Relativity
Light Bending in the Gravitational Fi
ISBN:9780387251134
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Mathematical physics
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Call number:SPRINGER-2005-9780387251127:ONLINE Show nearby items on shelf
Title:Mathematica for Theoretical Physics [electronic resource] : Classical Mechanics and Nonlinear Dynamics Volume 1
Author(s): Gerd Baumann
Date:2005
Edition:Second Edition
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear Dynamics This second edition of Baumann's Mathematica in Theoretical Physics shows readers how to solve physical problems and deal with their underlyingtheoretical concepts while using Mathematica to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code torelated or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. Thesecond volume covers electrodynamics, quantum mechanics, relativity, and fra ctals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solvingpresentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices. The examples given in the text can also beinteractively used and changed for the readers purposes. The Author, Gerd Baumann, is affiliated with the Mathematical Physics Division of th e University of Ulm, Germany, where he is professor. He is the author of Symmetry Analysisof Differential Equations with Mathematica. Dr. Baumann has given numerous invited talks at universities and industry alike. He regularly hosts seminars and lectures on symbolic computing at the University of Ulm and at TECHNISCHEUNIVERSITT MNCHEN (TUM), Munich
Note:Springer eBooks
Contents:Introduction: Basics
Classical Mechanics: Introduction
Mathematica Tools
Kinematics
Newtonian Mechanics
Central Forces
Calculus of Variations
Lagrange Dynamics
Hamilton Dynamics
Chaotic Systems
Rigid Body Dynamics
Nonlinear Dynamics: Introduction
The Korteweg
de Vries Equation
Solution of the Korteweg
de Vries Equation
Conservation Laws of the Korteweg
de Vries Equation
Numerical Solution of the Korteweg
de Vries Equation
Exercises
Packages and Programs
ISBN:9780387251127
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics
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Call number:SPRINGER-2004-9783709105870:ONLINE Show nearby items on shelf
Title:Geometric Modelling Dagstuhl 2002
Author(s):
Date:2004
Size:1 online resource (248 p.)
Note:10.1007/978-3-7091-0587-0
Contents:An Algorithm for Parametric Quadric Patch Construction -- Planar Development of Free-Form Surfaces: Quality Evaluation and Visual Inspection -- Biorthogonal Loop-Subdivision Wavelets -- Fairness Criteria for Algebraic Curves -- Spline
Curve Approximation and Design by Optimal Control Over the Knots -- A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature -- Surface Compression Using a Space of C1 Cubic Splines with a Hierarchical Basis --
Evolutions of Polygons in the Study of Subdivision Surfaces -- The Bézier Tangential Surface System: a Robust Dual Representation of Tangent Space -- Bounding the Distance between 2D Parametric Bézier Curves and their Control Polygon
-- Wavelet-Based Multiresolution with % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfKttLearuavP1wzZbItLDhis9wBH5garm % Wu51MyVXgaruWqVvNCPvMCaebbnrfifHhDYfgasaacH8srps0lbbf9 % q8WrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0RYxir %
-Jbba9q8aq0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGa % aeqabaWaaeaaeaaakeaadaGcbaqaaiabikdaYaWcbaGaemOBa4gaaa % aa!31E1! $$ \sqrt[n]{2} $$ Subdivision -- Quasi-Interpolants with Tension Properties from and in CAGD -- Length
Preserving Multiresolution Editing of Curves -- The Convex Hull of Freeform Surfaces -- Robust Spherical Parameterization of Triangular Meshes -- Spine Based Shape Parameterisation for PDE Surfaces -- Direct Segmentation of Algebraic
Models for Reverse Engineering -- Two Triangulation Methods Based on Edge Refinement -- Efficient Collision Detection for Moving Ellipsoids Using Separating Planes
ISBN:9783709105870
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Computer science , Computer graphics , Computer-aided engineering , Algorithms , Geometry , Mathematics , Geometry , Math Applications in Computer Science , Numeric Computing , Computer Graphics , Computer-Aided Engineering (CAD, CAE) and Design , Algorithms
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Call number:SPRINGER-2004-9781461302155:ONLINE Show nearby items on shelf
Title:Modeling Languages in Mathematical Optimization
Author(s):
Date:2004
Size:1 online resource (408 p.)
Note:10.1007/978-1-4613-0215-5
Contents:I Theoretical and Practical Concepts of Modeling Languages -- 1 Mathematical Optimization and the Role of Modeling Languages -- 2 Models and the History of Modeling -- 3 Mathematical Model Building -- 4 Theoretical Concepts and Design
of Modeling Languages -- 5 The Importance of Modeling Languages for Solving Real-World Problems -- II The Modeling Languages in Detail -- 6 The Modeling Language AIMMS -- 7 Design Principles and New Developments in the AMPL Modeling
Language -- 8 General Algebraic Modeling System (GAMS) -- 9 The LINGO Algebraic Modeling Language -- 10 The LPL Modeling Language -- 11 The MINOPT Modeling Language -- 12 Mosel: A Modular Environment for Modeling and Solving
Optimization Problems -- 13 The MPL Modeling System -- 14 The Optimization Systems MPSX and OSL -- 15 The NOP-2 Modeling Language -- 16 The OMNI Modeling System -- 17 The OPL Studio Modeling System -- 18 PCOMP: A Modeling Language for
Nonlinear Programs with Automatic Differentiation -- 19 The Tomlab Optimization Environment -- III The Future of Modeling Systems -- 20 The Future of Modeling Languages and Modeling Systems -- References
ISBN:9781461302155
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 88
Keywords: Mathematics , Programming languages (Electronic computers) , Numerical analysis , Computer science , Mathematical models , Mathematical optimization , Mathematics , Mathematical Modeling and Industrial Mathematics , Optimization , Symbolic and Algebraic Manipulation , Numeric Computing , Programming Languages, Compilers, Interpreters
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Call number:SPRINGER-2004-9781441991805:ONLINE Show nearby items on shelf
Title:Projectors and Projection Methods
Author(s): Aurél Galántai
Date:2004
Size:1 online resource (288 p.)
Note:10.1007/978-1-4419-9180-5
ISBN:9781441991805
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Mathematics : 6
Keywords: Mathematics , Numerical analysis , Matrix theory , Algebra , Functional analysis , Algorithms , Mathematical optimization , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Numeric Computing , Algorithms , Optimization , Functional Analysis
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Call number:SPRINGER-2004-9781441988515:ONLINE Show nearby items on shelf
Title:Interactive Decision Maps Approximation and Visualization of Pareto Frontier
Author(s): Alexander V Lotov
Date:2004
Size:1 online resource (310 p.)
Note:10.1007/978-1-4419-8851-5
ISBN:9781441988515
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 89
Keywords: Mathematics , Numerical analysis , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Environmental management , Mathematics , Optimization , Numeric Computing , Convex and Discrete Geometry , Environmental Management , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2004-9781402021008:ONLINE Show nearby items on shelf
Title:Exponential Fitting
Author(s): Liviu Gr Ixaru
Date:2004
Size:1 online resource (308 p.)
Note:10.1007/978-1-4020-2100-8
ISBN:9781402021008
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 568
Keywords: Mathematics , Chemistry, Physical and theoretical , Numerical analysis , Computer mathematics , Algorithms , Physics , Mathematics , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics , Algorithms , Numeric Computing , Theoretical and Computational Chemistry
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Call number:SPRINGER-2004-9781402019937:ONLINE Show nearby items on shelf
Title:Mathematical Modelling Case Studies and Projects
Author(s):
Date:2004
Size:1 online resource (253 p.)
Note:10.1007/1-4020-1993-9
Contents:Ordinary Differential Equations -- Deterministic Model in Contagious Disease -- Electromagnetic Forces in High Field Magnet Coils -- Mass Balance of a Reactor in Steady State -- The Free and Forced Vibration of an Automobile --
Cantilever Beam Subjected to an End Load -- ODE Problems -- Partial Differential Equations -- Cylindrical and Spherical Solidification in Heat Transfer -- Elastic Analysis of a Square Plate with Circular Holes -- Motion of Fluid Layers
-- Mass Balance of a Reactor with Time Dependency -- Flow Through Porous Media -- PDE Problems -- Optimization -- Linear Programming Problem Involving Wine Production -- Transportation Problem Involving Breweries and Hotels -- Profit
from an Engineering Plant -- Optimization of Manufacture of Personal Computers -- Air Freight Transportation Problem -- Optimization Problems
ISBN:9781402019937
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in the Mathematical Sciences, A Graduate-Level Book Series: 28
Keywords: Mathematics , Numerical analysis , Algorithms , Mathematical models , Mechanics , Engineering , Mathematics , Mathematical Modeling and Industrial Mathematics , Engineering, general , Mechanics , Numeric Computing , Algorithms
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Call number:SPRINGER-2003-9789401702850:ONLINE Show nearby items on shelf
Title:Algorithmic Methods in Non-Commutative Algebra Applications to Quantum Groups
Author(s): José Bueso
Date:2003
Size:1 online resource (300 p.)
Note:10.1007/978-94-017-0285-0
Contents:1. Generalities on rings -- 2. Gröbner basis computation algorithms -- 3. Poincaré-Birkhoff-Witt Algebras -- 4. First applications -- 5. Gröbner bases for modules -- 6. Syzygies and applications -- 7. The Gelfand-Kirillov dimension
and the Hilbert polynomial -- 8. Primality -- References
ISBN:9789401702850
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Modelling, Theory and Applications: 17
Keywords: Computer science , Numerical analysis , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Algorithms , Computer Science , Numeric Computing , Associative Rings and Algebras , Algorithms , Category Theory, Homological Algebra , Algebraic Geometry
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Call number:SPRINGER-2003-9789401702157:ONLINE Show nearby items on shelf
Title:Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64
Author(s): Jon F Carlson
Date:2003
Size:1 online resource (776 p.)
Note:10.1007/978-94-017-0215-7
Contents:1. Homological Algebra -- 2. Group Algebras -- 3. Projective Resolutions -- 4. Cohomology Products -- 5. Spectral Sequences -- 6. Norms and the Cohomology of Wreath Products -- 7. Steenrod Operations -- 8. Varieties and Elementary
Abelian Subgroups -- 9. Cohomology Rings of Modules -- 10. Complexity and Multiple Complexes -- 11. Duality Complexes -- 12. Transfers, Depth and Detection -- 13. Subgroup Complexes -- 14. Computer Calculations and Completion Tests --
Appendices: Calculations of the Cohomology Rings of Groups of Order Dividing 64 -- A— Notation and References -- B— Groups of Order 8 -- C— Groups of Order 16 -- D— Groups of Order 32 -- E— Groups of Order 64 -- F— Tables of Krull
Dimension and Depth -- G— Tables of Hilbert / Poincaré Series -- References
ISBN:9789401702157
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algebras and Applications: 3
Keywords: Mathematics , Numerical analysis , Algebra , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Geometry , Algebraic topology , Mathematics , Geometry , Category Theory, Homological Algebra , Algebra , Commutative Rings and Algebras , Numeric Computing , Algebraic Topology
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Call number:SPRINGER-2003-9783642555268:ONLINE Show nearby items on shelf
Title:High Performance Computing in Science and Engineering, Munich 2002 Transactions of the First Joint HLRB and KONWIHR Status and Result Workshop, October 10–11, 2002, Technical University of Munich, Germany
Author(s):
Date:2003
Size:1 online resource (505 p.)
Note:10.1007/978-3-642-55526-8
Contents:I High Performance Systems -- TeraFlops Computing with the Hitachi SR8000-F1: From Vision to Reality -- II Computational Fluid Dynamics -- Numerical Prediction of Deformations and Oscillations of Wind-Exposed Structures -- Large-Eddy
and Detached-Eddy Simulation of the Flow Around High-Lift Configurations -- Direct Simulation with the Lattice Boltzmann Code BEST of Developed Turbulence in Channel Flows -- DNS of Homogeneous Shear Flow and Data Analysis for the
Development of a Four-Equation Turbulence Model -- Large-Eddy Simulations of High Reynolds Number Flow Around a Circular Cylinder -- Numerical Simulation of Passively Controlled Turbulent Flows over Sharp—Edged and Smoothly Contoured
Backward—Facing Steps -- Parallel Single- and Multiphase CFD-Applications Using Lattice Boltzmann Methods -- Models of Type Ia Supernova Explosions -- Direct Numerical Simulation of Boundary Layer Separation along a Curved Wall with
Oscillating Oncoming Flow -- III Biosciences -- QM/MM Study of Rhodopsin -- Simulation of Neuronal Map Formation in the Primary Visual Cortex -- IV Chemistry -- A User-Oriented Set of Quantum Chemical Benchmarks -- Structure,
Energetics, and Spectroscopy of Models for Enzyme Cofactors -- Ruthenium Dioxide, a Versatile Oxidation Catalyst: First Principles Analysis -- Theoretical Studies of Structures of Vanadate Complexes in Aqueous Solution -- V Solid-State
Physics -- Large Scale Car-Parrinello Simulation of Fully Hydrated DNA -- Metal-Insulator Transitions and Realistic Modelling of Correlated Electron Systems -- Monte Carlo Studies of Three-Dimensional Bond-Diluted Ferromagnets --
Microwave Ionisation of Non-Hydrogenic Alkali Rydberg States -- Density-Functional Calculation and Inelastic Neutron Scattering of Structural and Dynamical Properties in Fluoride Crystals -- Optical Response of Semiconductor Surfaces
and Molecules Calculated from First Principles -- Phase Fluctuations and the Role of Electron Phonon Coupling in High-TcSuperconductors -- The Cluster-Perturbation-Theory and its Application to Strongly-Correlated Materials --
Object-Oriented C++ Class Library for Many Body Physics on Finite Lattices and a First Application to High-Temperature Superconductivity -- From Fermi Liquid to Non-Fermi Liquid Physics — Influence of Non-Local Fluctuations in
Low-Dimensional Fermion Systems -- One-Dimensional Electron-Phonon Systems: Mott- Versus Peierls-Insulators -- VI Geophysics -- 3-D Seismic Wave Propagation on a Global and Regional Scale: Earthquakes, Fault Zones, Volcanoes -- VII
Fundamental Physics -- Simulation of QCD with Dynamical Quarks -- Quantum Chromodynamics with Chiral Quarks -- Three-Nucleon Force in the4He Scattering System -- Simulations of the Local Universe -- The Free Electron Maser in Pulsar
Magnetospheres -- VIII Computer Science -- Pseudo-Vectorization and RISC Optimization Techniques for the Hitachi SR8000 Architecture -- Automatic Performance Analysis on Hitachi SR8000 -- Adapting PAxML to the Hitachi SR8000-F1
Supercomputer -- Load Balancing for Spatial-Grid-Based Parallel Numeric Simulations on Clusters of SMPs — A Case Study from an Industrial CFD Simulation -- Scientific Progress in the Par-EXPDE-Project -- gridlib — A Parallel,
Object-Oriented Framework for Hierarchical-Hybrid Grid Structures in Technical Simulation and Scientific Visualization
ISBN:9783642555268
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Chemoinformatics , Numerical analysis , Computer mathematics , Physics , Complexity, Computational , Mathematics , Computational Mathematics and Numerical Analysis , Mathematical Methods in Physics , Computer Applications in Chemistry , Numeric Computing , Complexity , Numerical and Computational Physics
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Call number:SPRINGER-2003-9781475737264:ONLINE Show nearby items on shelf
Title:Matrix-Based Multigrid Theory and Applications
Author(s): Yair Shapira
Date:2003
Size:1 online resource (221 p.)
Note:10.1007/978-1-4757-3726-4
Contents:1. The Multilevel-Multiscale Approach -- I The Problem and Solution Methods -- 2. PDEs and Discretization Methods -- 3. Iterative Linear-System Solvers -- 4. Multigrid Algorithms -- II Multigrid for Structured Grids -- 5. The Automug
Method -- 6. Applications in Image Processing -- 7. The Black-Box Multigrid Method -- 8. The Indefinite Helmholtz Equation -- 9. Matrix-Based Semicoarsening -- III Multigrid for Semi-Structured Grids -- 10. Multigrid for Locally
Refined Meshes -- IV Multigrid for Unstructured Grids -- 11. Domain Decomposition -- 12. Algebraic Multilevel Method -- 13. Conclusions -- Appendices -- A C++ Framework for Unstructured Grids -- References
ISBN:9781475737264
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Numerical Methods and Algorithms: 2
Keywords: Mathematics , Computer science , Numerical analysis , Applied mathematics , Engineering mathematics , Computer mathematics , Mathematics , Computational Mathematics and Numerical Analysis , Numeric Computing , Mathematics of Computing , Applications of Mathematics
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Call number:SPRINGER-2003-9781461500575:ONLINE Show nearby items on shelf
Title:Computational Techniques for the Summation of Series
Author(s): Anthony Sofo
Date:2003
Size:1 online resource (189 p.)
Note:10.1007/978-1-4615-0057-5
Contents:1. Some Methods for closed form Representation -- 1 Some Methods -- 2 A Tree Search Sum and Some Relations -- 2. Non-Hypergeometric Summation -- 1 Introduction -- 2 Method -- 3 Burmann’s Theorem and Application -- 4 Differentiation
and Integration -- 5 Forcing Terms -- 6 Multiple Delays, Mixed and Neutral Equations -- 7 Bruwier Series -- 8 Teletraffic Example -- 9 Neutron Behaviour Example -- 10 A Renewal Example -- 11 Ruin Problems in Compound Poisson Processes
-- 12 A Grazing System -- 13 Zeros of the Transcendental Equation -- 14 Numerical Examples -- 15 Euler’sWork -- 16 Jensen’s Work -- 17 Ramanujan’s Question -- 18 Cohen’s Modification and Extension -- 19 Conolly’s Problem -- 3.
Bürmann’s Theorem -- 1 Introduction -- 2 Bürmann’s Theorem and Proof -- 3 Convergence Region -- 4. Binomial type Sums -- 1 Introduction -- 2 Problem Statement -- 3 A Recurrence Relation -- 4 Relations Between Gk (m) and Fk+1 (m) -- 5.
Generalization of the Euler Sum -- 1 Introduction -- 2 1-Dominant Zero -- 3 The K-Dominant Zeros Case -- 6. Hypergeometric Summation: Fibonacci and Related Series -- 1 Introduction -- 2 The Difference-Delay System -- 3 The Infinite Sum
-- 4 The Lagrange Form -- 5 Central Binomial Coefficients -- 6 Fibonacci, Related Polynomials and Products -- 7 Functional Forms -- 7. Sums and Products of Binomial Type -- 1 Introduction -- 2 Technique -- 3 Multiple Zeros -- 4 More
Sums -- 5 Other Forcing Terms -- 8. Sums of Binomial Variation -- 1 Introduction -- 2 One Dominant Zero -- 3 Multiple Dominant Zeros -- 4 Zeros -- 5 Non-zero Forcing Terms -- References -- About the Author
ISBN:9781461500575
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Difference equations , Functional equations , Functions of complex variables , Integral transforms , Operational calculus , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Difference and Functional Equations , Integral Transforms, Operational Calculus , Numeric Computing , Functions of a Complex Variable
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Call number:SPRINGER-2003-9781461302414:ONLINE Show nearby items on shelf
Title:High Performance Algorithms and Software for Nonlinear Optimization
Author(s):
Date:2003
Size:1 online resource (416 p.)
Note:10.1007/978-1-4613-0241-4
Contents:1. Quasi-Newton Algorithms for Large-Scale Nonlinear Least-Squares -- 2. The Extended Ritz Method in Stochastic Functional Optimizazion: An Example of Dynamic Routing in Traffic Networks -- 3. Efficient Serial and Parallel
Implementation of the Cutting Angle Method -- 4. A Globalization Strategy for Interior Point Methods for Mixed Complementarity Problems -- 5. A Comparative Study of Large-Scale Nonlinear Optimization Algorithms -- 6. A Software System
for PDE-Constrained Optimization Problems -- 7. A Truncated SQP Algorithm for Solving Nonconvex Equality Constrained Optimization Problems -- 8. Newton-Type Methods for the Approximate Solution of Nonlinear Programming Problems in
Real-Time -- 9. Fruitful Uses of Smooth Exact Merit Functions in Constrained Optimization -- 10. New Perspective on the Theorems of Alternative -- 11. Planar-CG Methods and Matrix Tridiagonalization in Large Scale Unconstrained
Optimization -- 12. Filter-type Algorithms for Solving Systems of Algebraic Equations and Inequalities -- 13. A New Algorithm for Solving Large Scale Molecular Distance Geometry Problems -- 14. PENNON A generalized Augmented Lagrangian
Method for Semidefinite Programming -- 15. Understanding Asynchronous Parallel Pattern Search -- 16. Smoothing Techniques for the Solution of Finite and Semi-Infinite Min-Max-Min Problems -- 17. Exploiting Optimality Conditions in
Accurate Static Circuit Tuning -- 18. Efficient Analysis on a Truncated Newton Method with Preconditioned Conjugate Gradient Technique for Optimization
ISBN:9781461302414
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 82
Keywords: Mathematics , Operations research , Decision making , Computers , Numerical analysis , Mathematical optimization , Management science , Mathematics , Optimization , Numeric Computing , Theory of Computation , Operation Research/Decision Theory , Operations Research, Management Science
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Call number:SPRINGER-2003-9781461200130:ONLINE Show nearby items on shelf
Title:Computer Algebra Recipes for Classical Mechanics
Author(s): Richard H Enns
Date:2003
Size:1 online resource (265 p.)
Note:10.1007/978-1-4612-0013-0
Contents:A. Computer Algebra Systems -- B. The Spiral Approach to Learning Mechanics -- C. Maple Help -- D. Introductory Recipe -- E. How to Use this Text -- I The Appetizers -- 1 Vectors and Kinematics -- 2 Newtonian Mechanics -- II The
Entrees -- 3 Vector Calculus -- 4 Newtonian Dynamics I -- 5 Newtonian Dynamics II -- III The Desserts -- 6 Lagrangian & Hamiltonian Dynamics
ISBN:9781461200130
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Computers , Numerical analysis , Algebra , Applied mathematics , Engineering mathematics , Computer software , Mechanics , Mathematics , Algebra , Theory of Computation , Numeric Computing , Applications of Mathematics , Mathematical Software , Mechanics
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Call number:SPRINGER-2002-9789401735520:ONLINE Show nearby items on shelf
Title:Total Least Squares and Errors-in-Variables Modeling Analysis, Algorithms and Applications
Author(s):
Date:2002
Size:1 online resource (398 p.)
Note:10.1007/978-94-017-3552-0
Contents:to Total Least Squares and Errors-in-Variables Modeling -- TLS and its Improvements by Semiparametric Approach -- Unifying Least Squares, Total Least Squares and Data Least Squares -- Bounds for the Least Squares Residual Using Scaled
TLS -- Recent Developments in Rank Revealing and Lanczos Methods for Total Least Squares Related Problems -- A Regularized Total Least Squares Algorithm -- The Parametric Quadratic Form Method for Solving TLS Problems with Elementwise
Weighting -- Structured Total Least Squares: Analysis, Algorithms and Applications -- Fast Structured Total Least Squares Algorithms via Exploitation of the Displacement Structure -- The Extended STLS Algorithm for Minimizing the
Extended LS Criterion -- Bayesian Smoothing for Measurement Error Problems -- On the Polynomial Measurement Error Model -- On Consistent Estimators in Nonlinear Functional EIV Models -- On Consistent Estimators in Linear and Bilinear
Multivariate Errors-in-Variables Models -- Identification of Semi-Linear Models Within an Errors-in-Variables Framework -- Cox’s Proportional Hazards Model under Covariate Measurement Error -- State-Space Estimation with Uncertain
Models -- Models for Robust Estimation and Identification -- Robust Solutions to Linear Approximation Problems Under Ellipsoidal Uncertainty -- QR Factorization of the Jacobian in Some Structured Nonlinear Least Squares Problems --
Neural Minor Component Analysis and TLS -- On the Structural Line Segment Model -- Model Fitting for Multiple Variables by Minimising the Geometric Mean Deviation -- Perspectives on Errors-in-Variables Estimation for Dynamic Systems --
Errors-in-Variables Filtering in Behavioural and State-Space Contexts -- Weighted Total Least Squares, Rank Deficiency and Linear Matrix Structures -- Frequency-Domain TLS and GTLS Algorithms for Modal Analysis Applications -- A New
Decimative Spectral Estimation Method with Unconstrained Model Order and Decimation Factor -- Modeling Audio with Damped Sinusoids Using Total Least Squares Algorithms -- Real-Time TLS Algorithms in Gaussian and Impulse Noise
Environments -- Efficient Computation of the Riemannian SVD in Total Least Squares Problems in Information Retrieval -- Constrained Total Least Squares for Color Image Reconstruction -- Total Least Squares in Astronomy -- TLS and
Constrained TLS Neural Networks for Computer Vision
ISBN:9789401735520
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Algebra , Matrix theory , Applied mathematics , Engineering mathematics , Algorithms , Statistics , Mathematics , Algebra , Linear and Multilinear Algebras, Matrix Theory , Statistics, general , Applications of Mathematics , Numeric Computing , Algorithms
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Call number:SPRINGER-2002-9781475735321:ONLINE Show nearby items on shelf
Title:Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming Theory, Algorithms, Software, and Applications
Author(s): Mohit Tawarmalani
Date:2002
Size:1 online resource (478 p.)
Note:10.1007/978-1-4757-3532-1
Contents:1 Introduction -- 2 Convex Extensions -- 3 Product Disaggregation -- 4 Relaxations of Factorable Programs -- 5 Domain Reduction -- 6 Node Partitioning -- 7 Implementation -- 8 Refrigerant Design Problem -- 9 The Pooling Problem -- 10
Miscellaneous Problems -- 11 GAMS/BARON: A Tutorial -- A GAMS Models for Pooling Problems -- A.1 Problems Adhya 1, 2, 3, and 4 -- A.2 Problems Bental 4 and 5 -- A.3 Problems Foulds 2, 3, 4, and 5 -- A.4 Problems Haverly 1, 2, and 3 --
A.5 Problem RT 2 -- Author Index
ISBN:9781475735321
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 65
Keywords: Mathematics , Operations research , Decision making , Data structures (Computer science) , Numerical analysis , Computer mathematics , Mathematical models , Mathematical optimization , Mathematics , Mathematical Modeling and Industrial Mathematics , Computational Mathematics and Numerical Analysis , Data Structures , Optimization , Numeric Computing , Operation Research/Decision Theory
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Call number:SPRINGER-2002-9781461201014:ONLINE Show nearby items on shelf
Title:Computational Methods for Linear Integral Equations
Author(s): Prem K Kythe
Date:2002
Size:1 online resource (508 p.)
Note:10.1007/978-1-4612-0101-4
Contents:1 Introduction -- 1 1 Notation and Definitions -- 1.2 Classification -- 1.3 Function Spaces -- 1.4 Convergence -- 1.5 Inverse Operator -- 1.6 Nyström System -- 1.7 Other Types of Kernels -- 1.8 Neumann Series -- 1.9 Resolvent Operator
-- 1.10 Fredholm Alternative -- 2 Eigenvalue Problems -- 2.1 Linear Symmetric Equations -- 2.2 Residual Methods -- 2.3 Degenerate Kernels -- 2.4 Replacement by a Degenerate Kernel -- 2.5 Baterman’s Method -- 2.6 Generallized Eigenvalue
Problem -- 2.7 Applications -- 3 Equations of the Second Kind -- 3.1 Fredholm Equations -- 3.2 Volterra Equations -- 4 Classical Methods for FK2 -- 4.1 Expansion Method -- 4.2 Product-Integration Method -- 4.3 Quadrature Method -- 4.4
Deferred Correction Methods -- 4.5 A Modified Quadrature Method -- 4.6 Collocation Methods -- 4.7 Elliott’s Modification -- 5 Variational Methods -- 5.1 Galerkin Method -- 5.2 Ritz-Galerkin Methods -- 5.3 Special Cases -- 5.4
Fredholm-Nyström System -- 6 Iteration Methods -- 6.1 Simple Iterations -- 6.2 Quadrature Formulas -- 6.3 Error Analysis -- 6.4 Iterative Scheme -- 6.5 Krylov-Bogoliubov Method -- 7 Singular Equations -- 7.1 Singularities in Linear
Equations -- 7.2 Fredholm Theorems -- 7.3 Modified Quadrature Rule -- 7.4 Convolution-Type Kernels -- 7.5 Volterra-Type Singular Equations -- 7.6 Convolution Methods -- 7.7 Asymptotic Methods for Log-Singular Equations -- 7.8 Iteration
Methods -- 7.9 Singular Equations with the Hilbert Kernel -- 7.10 Finite-Part Singular Equations -- 8 Weakly Singular Equations -- 8.1 Weakly Singular Kernel -- 8.2 Taylor’s Series Method -- 8.3 Lp-Approximation Method -- 8.4
Product-Integration Method -- 8.5 Splines Method -- 8.6 Weakly Singular Volterra Equations -- 9 Cauchy Singular Equations -- 9.1 Cauchy Singular Equations of the First Kind -- 9.2 Approximation by Trigonometric Polynomials -- 9.3
Cauchy Singular Equations of the Second Kind -- 9.4 From CSK2 to FK2 -- 9.5 Gauss-Jacobi Quadrature -- 9.6 Collocation Method for CSK1 -- 10 Sinc-Galerkin Methods -- 10.1 Sine Function Approximations -- 10.2 Conformal Maps and
Interpolation -- 10.3 Approximation Theory -- 10.4 Convergence -- 10.5 Sinc-Galerkin Scheme -- 10.6 Computation Guidelines -- 10.7 Sine-Collocation Method -- 10.8 Single-Layer Potential -- 10.9 Double-Layer Problem -- 11 Equations of
the First Kind -- 11.1 Inherent Ill-Posedness -- 11.2 Separable Kernels -- 11.3 Some Theorems -- 11.4 Numerical Methods -- 11.5 Volterra Equations of the First Kind -- 11.6 Abel’s Equation -- 11.7 Iterative Schemes -- 12 Inversion of
Laplace Transforms -- 12.1 Laplace Transforms -- 12.2 General Interpolating Scheme -- 12.3 Inversion by Fourier Series -- 12.4 Inversion by the Riemann Sum -- 12.5 Approximate Formulas -- A Quadrature Rules -- A. 1 Newton-Cotes
Quadratures -- A.2 Gaussian Quadratures -- A.3 Integration of Products -- A.4 Singular Integrals -- A.5 Infinite-Range Integrals -- A. 6 Linear Transformation of Quadratures -- A.7 Trigonometric Polynomials -- A.8 Condition Number --
A.7 Quadrature Tables -- B Orthogonal Polynomials -- B.l Zeros of Some Orthogonal Polynomials -- C Whittaker’s Cardinal Function -- C. 1 Basic Results -- C.2 Approximation of an Integral -- D Singular Integrals -- D.l Cauchy’s
Principal-Value Integrals -- D.2 P.V. of a Singular Integral on a Contour -- D.3 Hadamard’s Finite-Part Integrals -- D.4 Two-Sided Finite-Part Integrals -- D.5 One-Sided Finite-Part Integrals -- D.6 Examples of Cauchy P.V. Integrals --
D.7 Examples of Hadamard’s Finite-Part Integrals
ISBN:9781461201014
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Integral equations , Functions of complex variables , Mathematics , Integral Equations , Numeric Computing , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9781441957627:ONLINE Show nearby items on shelf
Title:Numerical Data Fitting in Dynamical Systems A Practical Introduction with Applications and Software
Author(s): Klaus Schittkowski
Date:2002
Size:1 online resource (396 p.)
Note:10.1007/978-1-4419-5762-7
Contents:1 Introduction -- 2 Mathematical Foundations -- 3 Data Fitting Models -- 4 Numerical Experiments -- 5 Case Studies -- Appendix A: Software Installation -- 1 Hardware and Software Requirements -- 2 System Setup -- 3 Packing List --
Appendix B: Test Examples -- 1 Explicit Model Functions -- 2 Laplace Transforms -- 3 Steady State Equations -- 4 Ordinary Differential Equations -- 5 Differential Algebraic Equations -- 6 Partial Differential Equations -- 7 Partial
Differential Algebraic Equations -- Appendix C: The PCOMP Language -- Appendix D: Generation of Fortran Code -- 1 Model Equations -- 1.1 Input of Explicit Model Functions -- 1.2 Input of Laplace Transformations -- 1.3 Input of Systems
of Steady State Equations -- 1.4 Input of Ordinary Differential Equations -- 1.5 Input of Differential Algebraic Equations -- 1.6 Input of Time-Dependent Partial Differential Equations -- 1.7 Input of Partial Differential Algebraic
Equations -- 2 Execution of Generated Code -- References
ISBN:9781441957627
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 77
Keywords: Computer science , Numerical analysis , Applied mathematics , Engineering mathematics , Mathematical models , Mathematical optimization , Statistics , Computer Science , Numeric Computing , Optimization , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Statistics for Life Sciences, Medicine, Health Sciences
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Call number:SPRINGER-2002-9780817681449:ONLINE Show nearby items on shelf
Title:Wavelets Through a Looking Glass The World of the Spectrum
Author(s): Ola Bratteli
Date:2002
Size:1 online resource (398 p.)
Note:10.1007/978-0-8176-8144-9
ISBN:9780817681449
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Topological groups , Lie groups , Applied mathematics , Engineering mathematics , Electrical engineering , Mathematics , Topological Groups, Lie Groups , Numeric Computing , Applications of Mathematics , Electrical Engineering
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Call number:SPRINGER-2002-9780306475368:ONLINE Show nearby items on shelf
Title:Cooperative Control and Optimization
Author(s):
Date:2002
Size:1 online resource (308 p.)
Note:10.1007/b130435
Contents:Cooperative Control for Target Classification -- Guillotine Cut in Approximation Algorithms -- Unmanned Aerial Vehicles: Autonomous Control Challenges, A Researcher’s Perspective -- Using Grasp for Choosing Best Periodic Observation
Strategy in Stochastic Systems Filtering -- Cooperative Control of Robot Formations -- Cooperative Behavior Schemes for Improving The Effectiveness of Autonomous Wide Area Search Munitions -- On A General Framework To Study Cooperative
Systems -- Cooperative Multi-agent Constellation Formation Under Sensing and Communication Constraints -- An Introduction to Collective and Cooperative Systems -- Cooperative Aircraft Control for Minimum Radar Exposure -- Robust
Recursive Bayesian Estimation and Quantum Minimax Strategies -- Cooperative Control for Autonomous Air Vehicles -- Optimal Risk Path Algorithms
ISBN:9780306475368
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 66
Keywords: Mathematics , Computers , Numerical analysis , Computer science , System theory , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Systems Theory, Control , Theory of Computation , Numeric Computing , Discrete Mathematics in Computer Science
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Call number:SPRINGER-2002-9780306470967:ONLINE Show nearby items on shelf
Title:Applied Nonlinear Analysis
Author(s):
Date:2002
Size:1 online resource (548 p.)
Note:10.1007/b114992
Contents:On the Regularity and Decay of the Weak Solutions to the Steady-State Navier-Stokes Equations in Exterior Domains -- A Note on Turbulence Modeling -- L2,?-Regularity for Nonlinear Elliptic Systems of Second Order -- On the Fredholm
Alternative for Nonlinear Homogeneous Operators -- Existence of Solutions to a Nonlinear Coupled Thermo-Viscoelastic Contact Problem with Small Coulomb Friction -- On Some Global Existence Theorems for a Semilinear Parabolic Problem --
Bifurcation of Solutions to Reaction-Diffusion Systems with Jumping Nonlinearities -- Coupled Problems for Viscous Incompressible Flow in Exterior Domains -- Remarks on the Determinant in Nonlinear Elasticity and Fracture Mechanics --
On Modelling of Czochralski Flow, the Case of Non Plane Free Surface -- Symmetric Stationary Solutions to the Plane Exterior Navier-Stokes Problem for Arbitrary Large Reynolds Number -- A Fictitious-Domain Method with Distributed
Multiplier for the Stokes Problem -- Reliable Solution of a Unilateral Contact Problem with Friction, Considering Uncertain Input Data -- Domain Decomposition Algorithm for Computer Aided Design -- Solution of Convection-Diffusion
Problems with the Memory Terms -- On Global Existence of Smooth Two-Dimensional Steady Flows for a Class of Non-Newtonian Fluids under Various Boundary Conditions -- Viscosity Solutions for Degenerate and Nonmonotone Elliptic Equations
-- Remarks on Compactness in the Formation of Fine Structures -- Finite Element Analysis of a Nonlinear Elliptic Problem with a Pure Radiation Condition -- Estimates of Three-Dimensional Oseen Kernels in Weighted LP Spaces -- Hardy’s
Inequality and Spectral Problems of Nonlinear Operators -- Remarks on the Regularity of Solutions of Elliptic Systems -- Singular Perturbations in Optimal Control Problem -- Optimization of Steady Flows for Incompressible Viscous
Fluids -- Asymptotic Behaviour of Compressible Maxwell Fluids in Exterior Domains -- Regularity of a Suitable Weak Solution to the Navier-Stokes Equations as a Consequence of Regularity of One Velocity Component -- On a Class of High
Resolution Methods for Solving Hyperbolic Conservation Laws with Source Terms -- On the Decay to Zero of the L2-Norms of Perturbations to a Viscous Compressible Fluid Motion Exterior to a Compact Obstacle -- Global Behavior of
Compressible Fluid with a Free Boundary and Large Data -- A Geometric Approach to Dynamical Systems in ?N -- On a Three-Dimensional Convective Stefan Problem for a Non-Newtonian Fluid -- Replacing H by H2 -- Flow of Shear Dependent
Electrorheological Fluids: Unsteady Space Periodic Case -- On Decay of Solustions to the Navier-Stokes Equations -- Convexity Conditions for Rotationally Invariant Functions in Two Dimensions -- Hölder Continuity of Weak Solutions to
Certain Nonlinear Parabolic Systems in Two Space Dimensions
ISBN:9780306470967
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Partial differential equations , Mechanics , Mathematics , Analysis , Partial Differential Equations , Functional Analysis , Mechanics , Numeric Computing
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Call number:SPRINGER-2001-9789401723787:ONLINE Show nearby items on shelf
Title:Multivariate Spline Functions and Their Applications
Author(s): Ren-Hong Wang
Date:2001
Size:1 online resource (512 p.)
Note:10.1007/978-94-017-2378-7
Contents:1 Introduction to Multivariate Spline Functions -- 2 Multivariate spline spaces -- 3 Other methods for studying multivariate spline functions -- 4 Higher-dimensional spline spaces -- 5 Rational spline functions -- 6 Piecewise
algebraic curves and surfaces -- 7 Applications of multivariate spline functions in finite element method and CAGD -- References
ISBN:9789401723787
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 529
Keywords: Mathematics , Numerical analysis , Image processing , Approximation theory , Computer mathematics , Engineering design , Mathematics , Approximations and Expansions , Computational Mathematics and Numerical Analysis , Numeric Computing , Image Processing and Computer Vision , Engineering Design
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Call number:SPRINGER-2001-9789401009546:ONLINE Show nearby items on shelf
Title:Near-Rings and Near-Fields Proceedings of the Conference on Near-Rings and Near-Fields, Stellenbosch, South Africa, July 9–16, 1997
Author(s):
Date:2001
Size:1 online resource (201 p.)
Note:10.1007/978-94-010-0954-6
Contents:Invited talks -- Combinatorial aspects of nearring theory To the memory of JAMES RAY CLAY -- Left self-distributive rings and nearrings -- On the development of matrix nearrings and related nearrings over the past decade --
Contributed papers -- The use of computers in near-ring theory -- Some results on derivations in nearrings -- Weakly divisible nearrings: genesis, construction and their links with designs -- On semi-endomorphisms of abelian groups --
A note on pseudo-distributivity in group near-rings -- The almost nilpotent radical for near rings -- Polynomial near-rings in several variables -- s-primitive ideals in matrix near-rings -- Essential ideals and R-subgroups in
near-rings -- Conditions that MA(G) is a ring -- On dependence and independence in near-rings -- On modules of homogeneous mappings -- The number of isomorphism classes of d.g. near-rings on the generalized quaternion groups -- When is
a centralizer near-ring isomorphic to a matrix near-ring? Part 2 -- Topology and primary N-groups -- On the radicals of composition near-rings
ISBN:9789401009546
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Computer science , Associative rings , Rings (Algebra) , Algebra , Field theory (Physics) , Nonassociative rings , Mathematics , Associative Rings and Algebras , Discrete Mathematics in Computer Science , Numeric Computing , Field Theory and Polynomials , Non-associative Rings and Algebras
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Call number:SPRINGER-2001-9781475752847:ONLINE Show nearby items on shelf
Title:From Local to Global Optimization
Author(s):
Date:2001
Size:1 online resource (340 p.)
Note:10.1007/978-1-4757-5284-7
Contents:1 Convex Global Underestimation for Molecular Structure Prediction -- 2 Bayesian Heuristic Approach (BHA) and Applications to Discrete Optimization -- 3 A Finite Branch-and-Bound Method for Bilinear Hydro Power Scheduling -- 4 Two
Examples of Global Optimization by Means of Local Techniques -- 5 Modelling techniques for nonlinear pooling problems -- 6 Optimization and Hierarchies for Lumped Distributed Networks -- 7 n Tuy’s 1964 Cone Splitting Algorithm for
Concave Minimization -- 8 The ?BB Global Optimization Algorithm for Nonconvex Problems: An Overview -- 9 Infimum of Polynomials and Singularity at Infinity -- 10 Solving Global Optimization Problems with BARON -- 11 D.C. Programming
Approach to the Multidimensional Scaling Problem -- 12 On Minimization of Sums of Heterogeneous Quadratic Functions on Stiefel Manifolds -- 13 A Nonlinear Lagrangian Function for Discrete Optimization Problems -- 14 Local and Global
Behavior of Moving Polytope Algorithms -- 15 Relational Complementarity Problem
ISBN:9781475752847
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 53
Keywords: Computer science , Software engineering , Numerical analysis , Computer science , Applied mathematics , Engineering mathematics , Mathematical models , Mathematical optimization , Computer Science , Software Engineering/Programming and Operating Systems , Optimization , Applications of Mathematics , Numeric Computing , Mathematical Modeling and Industrial Mathematics , Discrete Mathematics in Computer Science
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Call number:SPRINGER-2001-9781475734287:ONLINE Show nearby items on shelf
Title:Variational Theory of Splines
Author(s): Anatoly Yu Bezhaev
Date:2001
Size:1 online resource (280 p.)
Note:10.1007/978-1-4757-3428-7
Contents:1. Splines in Hilbert Spaces -- 2. Reproducing Mappings and Characterization of Splines -- 3. General Convergence Techniques and Error Estimates for Interpolating Splines -- 4. Splines in Subspaces -- 5. Interpolating DM-Splines -- 6.
Splines on Manifolds -- 7. Vector Splines -- 8. Tensor and Blending Splines -- 9. Optimal Approximation of Linear Operators -- 10. Classification of Spline Objects -- 11. ??-Approximations and Data Compression -- 12. Algorithms for
Optimal Smoothing Parameter -- Appendices -- Theorems from Functional Analysis Used in This Book -- A.1 Convergence in Hilbert Space -- A.2 Theorems on Linear Operators -- A.3 Sobolev Spaces in Domain -- On Software Investigations in
Splines -- B.1 One-Dimensional Case -- B.2 Multi-Dimensional Case
ISBN:9781475734287
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Functional analysis , Calculus of variations , Mathematics , Analysis , Functional Analysis , Numeric Computing , Approximations and Expansions , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2001-9781461513292:ONLINE Show nearby items on shelf
Title:Computational Physics An Introduction
Author(s): Franz J Vesely
Date:2001
Edition:Second Edition
Size:1 online resource (259 p.)
Note:10.1007/978-1-4615-1329-2
Contents:I The Three Pillars of Computational Physics -- 1 Finite Differences -- 2 Linear Algebra -- 3 Stochastics -- II Everything Flows -- 4 Ordinary Differential Equations -- 5 Partial Differential Equations -- III Anchors Aweigh -- 6
Simulation and Statistical Mechanics -- 7 Quantum Mechanical Simulation -- 8 Hydrodynamics -- Appendixes
ISBN:9781461513292
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Numerical analysis , Applied mathematics , Engineering mathematics , Physics , Theoretical, Mathematical and Computational Physics , Applications of Mathematics , Numeric Computing
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Call number:SPRINGER-2001-9781461302957:ONLINE Show nearby items on shelf
Title:Optimization Theory Recent Developments from Mátraháza
Author(s):
Date:2001
Size:1 online resource (280 p.)
Note:10.1007/978-1-4613-0295-7
Contents:Heuristics for the Process Network Synthesis Problem -- Heuristics for Simplified Process Network Synthesis (PNS) Problems with a Blossom-Type Algorithm for the Edge Covering Problem -- Lower and Upper Bounds on the Probability of the
Union of Some Events with Applications -- The Linear Complementarity Problem and the Class of Generalized Positive Subdefinite Matrices -- Computer Experiences with Successive Regression Approximations for Solving Equations -- A Bundle
of Smooth Lagrangians in Mathematical Programming -- A Nontopological Two-function Minimax Theorem with Monotone Ttansformations of the Functional Values -- Non-smooth Optimization with Randomization -- The Sherman-Morrison Formula for
the Determinant and its Application for Optimizing Quadratic Functions on Condition Sets Given by Extreme Generators -- Duality For D.C. Optimization Over Compact Sets -- Characterization of Monotone Operators by Using a Special Class
of Preinvex Functions -- Two Approaches for Parallelizing the UEGO Algorithm -- Convexification of Functions by Nonlinear Coordinate Transformations -- Packing Equal Circles in a Square I. — Problem Setting and Bounds for Optimal
Solutions -- Packing Equal Circles in a Square II. — New Results for up to 100 Circles Using the TAMSASS-PECS Algorithm -- On Duality for Quasi-convex Supremization and Reverse Convex Infimization -- A Minimization Problem in Function
Spaces
ISBN:9781461302957
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 59
Keywords: Mathematics , Numerical analysis , Matrix theory , Algebra , Algorithms , Mathematical optimization , Mathematics , Optimization , Numeric Computing , Algorithms , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2001-9781461302575:ONLINE Show nearby items on shelf
Title:Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics
Author(s):
Date:2001
Size:1 online resource (286 p.)
Note:10.1007/978-1-4613-0257-5
Contents:Gaussian hypergeometric series and combinatorial congruences -- A double bounded key identity for Göllnitz’s (BIG) partition theorem -- Engel expansions of q-series by computer algebra -- Sums of squares and the preservation of
modularity under congruence restrictions -- On the transformation formula for the Dedekind eta-function -- Experiments and discoveries in q-trigonometry -- Algebraic consequences of Jacobi’s two— and four—square theorems -- The
Borweins’ cubic theta functions and q-elliptic functions -- Some Eisenstein series identities associated with the Borwein functions -- Hankel determinants of Eisenstein series -- Jacobi’s identity and two K3-surfaces -- q-Random matrix
ensembles -- Differential endomorphisms for modular forms -- On the asymptotics of Takeuchi numbers -- Fine-Tuning Zeilberger’s Algorithm: The Methods of Automatic Filtering and Creative Substituting -- Gaussian integrals and the
Rogers-Ramanujan identities -- Some remarks on a product expansion: an unexplored partition function
ISBN:9781461302575
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Developments in Mathematics: 4
Keywords: Computer science , Numerical analysis , Algebra , Special functions , Applied mathematics , Engineering mathematics , Combinatorics , Computer Science , Numeric Computing , Algebra , Combinatorics , Special Functions , Applications of Mathematics
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Call number:SPRINGER-2000-9789401731966:ONLINE Show nearby items on shelf
Title:Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
Author(s): I. S Krasil’ shchik
Date:2000
Size:1 online resource (384 p.)
Note:10.1007/978-94-017-3196-6
Contents:1. Classical symmetries -- 2. Higher symmetries and conservation laws -- 3. Nonlocal theory -- 4. Brackets -- 5. Deformations and recursion operators -- 6. Super and graded theories -- 7. Deformations of supersymmetric equations -- 8.
Symbolic computations in differential geometry
ISBN:9789401731966
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 507
Keywords: Mathematics , Numerical analysis , Category theory (Mathematics) , Homological algebra , Nonassociative rings , Rings (Algebra) , Partial differential equations , Differential geometry , Mathematics , Non-associative Rings and Algebras , Category Theory, Homological Algebra , Partial Differential Equations , Differential Geometry , Numeric Computing
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Call number:SPRINGER-2000-9789401706063:ONLINE Show nearby items on shelf
Title:Abduction and Induction Essays on their Relation and Integration
Author(s):
Date:2000
Size:1 online resource (309 p.)
Note:10.1007/978-94-017-0606-3
Contents:1 Abductive and inductive reasoning: background and issues -- 2 Smart inductive generalizations are abductions -- 3 Abduction as epistemic change: a Peircean model in Artificial Intelligence -- 4 Abduction: between conceptual richness
and computational complexity -- 5 On relationships between induction and abduction: a logical point of view -- 6 On the logic of hypothesis generation -- 7 Abduction and induction from a non-monotonic reasoning perspective -- 8 Unified
inference in extended syllogism -- 9 On the relations between abductive and inductive explanation -- 10 Learning, Bayesian probability, graphical models, and abduction -- 11 On the relation between abductive and inductive hypotheses --
12 Integrating abduction and induction in Machine Learning -- 13 Abduction and induction combined in a metalogic framework -- 14 Learning abductive and nonmonotonic logic programs -- 15 Cooperation of abduction and induction in Logic
Programming -- 16 Abductive generalization and specialization -- 17 Using abduction for induction based on bottom generalization
ISBN:9789401706063
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Logic Series: 18
Keywords: Mathematics , Logic , Philosophy and science , Numerical analysis , Artificial intelligence , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Logic , Artificial Intelligence (incl. Robotics) , Numeric Computing , Philosophy of Science
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Call number:SPRINGER-2000-9789401141932:ONLINE Show nearby items on shelf
Title:Applied and Industrial Mathematics, Venice—2, 1998 Selected Papers from the ‘Venice—2/Symposium on Applied and Industrial Mathematics’, June 11–16, 1998, Venice, Italy
Author(s):
Date:2000
Size:1 online resource (304 p.)
Note:10.1007/978-94-011-4193-2
Contents:Invited Papers -- Weighted Monte Carlo: A New Technique for Calibrating Asset-Pricing Models -- Nonlocal Models of Shear Banding -- Stabilization Techniques for the Finite Element Method -- Moving Point Interactions -- A Mathematical
Model for the Analysis of Polymers P-V-T-Diagrams -- Asymptotic Properties of Reaction-Diffussion Systems Modeling Chemotaxis -- Two Integral Geometry Problems of Volterra Type on a Plane -- Shallow water & the Diffeomorphism Group --
Island Dynamics and Level Set Methods for Continuum Modeling of Epitaxial Growth -- On a Heuristic Expansion Method in the Strong Localization Regime of the Theory of Disordered Systems -- Studying the Asymptotics of Selberg-type
Integrals -- Contributed Selected Papers -- Inverse Problem of Electromagnetoelasticity: Simultaneous Determination of Elastic and Electromagnetic Parameters -- Wave Propagation and Oscillations in a Semiconductor Nanostructure --
Pile-up Solutions for a Mixed System of Conservation Laws Modelling Dislocation Interaction in Crystals -- Vortex Stretching by a Simple Hyperbolic Saddle -- On the Solution of the Whitham Equations: An Estimate of the Genus --
Non-Generic Twinning Concentrations for a Class of Active Alloys -- Infiltration of a Polymerizing Resin in a Deformable Preform for Fiber Reinforced Composites -- Relaxed Picard-like Methods for Nonlinear Integral Equations Arising in
Transport Theory -- Computerized X-ray Tomography Algorithms on Base Distributions with Power Singularity -- Iterative Space-Marching Method for Compressible Flows and all Speeds
ISBN:9789401141932
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Mathematical models , Physics , Mathematics , Mathematical Modeling and Industrial Mathematics , Numeric Computing , Applications of Mathematics , Physics, general , Analysis
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Call number:SPRINGER-2000-9789401009485:ONLINE Show nearby items on shelf
Title:Computational Aerosciences in the 21st Century Proceedings of the ICASE/LaRC/NSF/ARO Workshop, conducted by the Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, The National Science Foundation and the Army Research Office, April 22–24, 1998
Author(s):
Date:2000
Size:1 online resource (292 p.)
Note:10.1007/978-94-010-0948-5
Contents:Isaac Inside: The Cultural Filters on Truly New Computing -- 3-D Geometric Model Acquisition System for a Tele-collaboration Testbed -- The Emerging Grid -- Distributed Systems on the Pragmatic Object Web Computing with Java and CORBA
-- From Gene Expression to Large Scale Evolutionary Optimization -- Trends in Algorithms for Nonuniform Applications on Hierarchical Distributed Architectures -- Quantum Computation -- Generation of Unstructured Grids Suitable for RANS
Calculations -- The Future of Lattice-gas and Lattice Boltzmann Methods -- Unstructured Grid Generation for Aerospace Applications -- Geometry Modeling and Grid Generation for Design and Optimization -- NASA’s Information Power Grid
Project -- Enabling Greater than 100 Teraflops through a Synthesis of Alternative Technologies -- From Molecular Dynamics t o Navier-Stokes and Beyond -- List of Attendees
ISBN:9789401009485
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ICASE LaRC Interdisciplinary Series in Science and Engineering: 8
Keywords: Mathematics , Microprocessors , Computers , Numerical analysis , Mathematical models , Number theory , Aerospace engineering , Astronautics , Mathematics , Number Theory , Aerospace Technology and Astronautics , Numeric Computing , Theory of Computation , Processor Architectures , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-2000-9781475732269:ONLINE Show nearby items on shelf
Title:Nonlinear Optimization and Related Topics
Author(s):
Date:2000
Size:1 online resource (492 p.)
Note:10.1007/978-1-4757-3226-9
Contents:Generalized Lagrange multipliers: regularity and boundedness -- A primal-dual algorithm for minimizing a non-convex function subject to bound and linear equality constraints -- Minimal convexificators of a positively homogeneous
function and a characterization of its convexity and concavity -- Optimal control problems and penalization -- A truncated Newton method for constrained optimization -- Fixed and virtual stability center methods for convex nonsmooth
minimization -- Iterative methods for ill-conditioned linear systems from optimization -- An algorithm for solving nonlinear programs with noisy inequality constraints -- Generic existence, uniqueness and stability in optimization
problems -- On a class of bilevel programs -- Separation methods for vector variational inequalities. Saddle point and gap function -- Functions with primal-dual gradient structure and U-Hessians -- Quadratic and multidimensional
assignment problems -- A new merit function and an SQP method for non-strictly monotone variational inequalities -- A logarithmic barrier approach to Fischer function -- On an approach to optimization problems with a probabilistic cost
and or constraints -- Semiderivative functions and reformulation methods for solving complementarity and variational inequality problems -- Global Lagrange multiplier rule and smooth exact penalty functions for equality constraints --
Structural methods in the solution of variational inequalities -- Extended nonlinear programming -- On the efficiency of splitting and projection methods for large strictly convex quadratic programs -- A comparison of rates of
convergence of two inexact proximal point algorithms -- One way to construct a global search algorithm for d. c. minimization problems -- Error bounds and superlinear convergence analysis of some Newton-type methods in optimization --
A new derivative-free descent method for the nonlinear complementarity problem
ISBN:9781475732269
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 36
Keywords: Mathematics , Operations research , Decision making , Computers , Numerical analysis , Mathematical optimization , Management science , Mathematics , Optimization , Numeric Computing , Theory of Computation , Operation Research/Decision Theory , Operations Research, Management Science
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Call number:SPRINGER-2000-9781475732221:ONLINE Show nearby items on shelf
Title:Topics in Industrial Mathematics Case Studies and Related Mathematical Methods
Author(s): Helmut Neunzert
Date:2000
Size:1 online resource (377 p.)
Note:10.1007/978-1-4757-3222-1
Contents:1 Case Studies at Kaiserslautern -- 2 Algorithms for Optimization -- 3 Maxwell’s Equations and Numerical Methods -- 4 Monte Carlo Methods -- 5 Image Processing -- 6 Models of Hysteresis and Applications -- 7 Appendix -- Symbols
ISBN:9781475732221
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 42
Keywords: Mathematics , Numerical analysis , Computer mathematics , Algorithms , Mathematical models , Mathematical optimization , Mathematics , Mathematical Modeling and Industrial Mathematics , Algorithms , Optimization , Computational Mathematics and Numerical Analysis , Numeric Computing
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Call number:SPRINGER-2000-9781475732108:ONLINE Show nearby items on shelf
Title:Shadowing in Dynamical Systems Theory and Applications
Author(s): Ken Palmer
Date:2000
Size:1 online resource (300 p.)
Note:10.1007/978-1-4757-3210-8
Contents:1 Hyperbolic Fixed Points of Diffeomorphisms and Their Stable and Unstable Manifolds -- 2 Hyperbolic Sets of Diffeomorphisms -- 3 Transversal Homoclinic Points of Diffeomorphisms and Hyperbolic Sets -- 4 The Shadowing Theorem for
Hyperbolic Sets of Diffeomorphisms -- 5 Symbolic Dynamics Near a Transversal Homoclinic Point of a Diffeomorphism -- 6 Hyperbolic Periodic Orbits of Ordinary Differential Equations, Stable and Unstable Manifolds and Asymptotic Phase --
7 Hyperbolic Sets of Ordinary Differential Equations -- 8 Transversal Homoclinic Points and Hyperbolic Sets in Differential Equations -- 9 Shadowing Theorems for Hyperbolic Sets of Differential Equations -- 10 Symbolic Dynamics Near a
Transversal Homoclinic Orbit of a System of Ordinary Differential Equations -- 11 Numerical Shadowing -- References
ISBN:9781475732108
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 501
Keywords: Mathematics , Numerical analysis , Differential equations , Mathematics , Ordinary Differential Equations , Numeric Computing , Mathematics, general
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Call number:SPRINGER-2000-9781475731507:ONLINE Show nearby items on shelf
Title:Probabilistic Constrained Optimization Methodology and Applications
Author(s):
Date:2000
Size:1 online resource (308 p.)
Note:10.1007/978-1-4757-3150-7
Contents:to the Theory of Probabilistic Functions and Percentiles -- Pricing American Options by Simulation Using a Stochastic Mesh with Optimized Weights -- On Optimization of Unreliable Material Flow Systems -- Stochastic Optimization in
Asset & Liability Management: A Model for Non-Maturing Accounts -- Optimization in the Space of Distribution Functions and Applications in the Bayes Analysis -- Sensitivity Analysis of Worst-Case Distribution for Probability
Optimization Problems -- On Maximum Reliability Problem in Parallel-Series Systems with Two Failure Modes -- Robust Monte Carlo Simulation for Approximate Covariance Matrices and VaR Analyses -- Structure of Optimal Stopping Strategies
for American Type Options -- Approximation of Value-at-Risk Problems with Decision Rules -- Managing Risk with Expected Shortfall -- On the Numerical Solution of Jointly Chance Constrained Problems -- Management of Quality of Service
through Chance-constraints in Multimedia Networks -- Solution of a Product Substitution Problem Using Stochastic Programming -- Some Remarks on the Value-at-Risk and the Conditional Value-at-Risk -- Statistical Inference of Stochastic
Optimization Problems
ISBN:9781475731507
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 49
Keywords: Mathematics , Operations research , Decision making , Finance , Numerical analysis , Mathematical models , Calculus of variations , Industrial engineering , Production engineering , Mathematics , Calculus of Variations and Optimal Control Optimization , Industrial and Production Engineering , Finance, general , Operation Research/Decision Theory , Mathematical Modeling and Industrial Mathematics , Numeric Computing
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Call number:SPRINGER-2000-9781461542735:ONLINE Show nearby items on shelf
Title:Linear Dependence Theory and Computation
Author(s): S. N Afriat
Date:2000
Size:1 online resource (175 p.)
Note:10.1007/978-1-4615-4273-5
Contents:1 Matrices -- 2 Linear Space -- 3 Linear Dependence -- 4 Dimension -- 5 Replacement -- 6 Linear Equations -- 7 Determinants -- 8 Determinants and Matrices -- 9 Quadratic Forms -- 1 Permutations -- 2 Combinations -- 1 Maximal
replacement -- 2 Rank reduction -- 3 Tucker’s pivot algorithm -- 4 Extended rank reduction -- 5 Permutations -- 6 Combinations
ISBN:9781461542735
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computers , Numerical analysis , Algebra , Matrix theory , Applied mathematics , Engineering mathematics , Mathematics , Algebra , Numeric Computing , Applications of Mathematics , Theory of Computation , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1999-9789401734790:ONLINE Show nearby items on shelf
Title:The Theory of Anisotropic Elastic Plates
Author(s): Tamaz S Vashakmadze
Date:1999
Size:1 online resource (243 p.)
Note:10.1007/978-94-017-3479-0
ISBN:9789401734790
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 476
Keywords: Physics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Mathematical models , Calculus of variations , Mechanics , Physics , Mechanics , Analysis , Numeric Computing , Mathematical Modeling and Industrial Mathematics , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-1999-9789401712477:ONLINE Show nearby items on shelf
Title:Developments in Reliable Computing
Author(s):
Date:1999
Size:1 online resource (404 p.)
Note:10.1007/978-94-017-1247-7
Contents:Rigorous Global Search: Industrial Applications -- Influences of Rounding Errors in Solving Large Sparse Linear Systems -- A Hardware Approach to Interval Arithmetic for Sine and Cosine Functions -- Towards an Optimal Control of the
Wrapping Effect -- On Existence and Uniqueness of Solutions of Linear Algebraic Equations in Kaucher’s Interval Arithmetic -- A Comparison of Subdivision Strategies for Verified Multi-Dimensional Gaussian Quadrature -- INTLAB —
INTerval LABoratory -- Verified Calculation of the Solution of Algebraic Riccati Equation -- Expression Concepts in Scientific Computing -- Performance Evaluation Technique STU and libavi Library -- Single-Number Interval I/O --
Interval Analysis for Embedded Systems -- Prediction by Extrapolation for Interval Tightening Methods -- The Contribution of T. Sunaga to Interval Analysis and Reliable Computing -- Surface-to-Surface Intersection with Complete and
Guaranteed Results -- An Algorithm that Computes a Lower Bound on the Distance Between a Segment and ?2 -- Comparing Partial Consistencies -- Verified Computation of Fast Decreasing Polynomials -- An Accurate Distance-Calculation
Algorithm for Convex Polyhedra -- Verified Error Bounds for Linear Systems through the Lanczos Process -- A Representation of the Interval Hull of a Tolerance Polyhedron Describing Inclusions of Function Values and Slopes -- A Few
Results on Table-Based Methods -- An Interval Hermite-Obreschkoff Method for Computing Rigorous Bounds on the Solution of an Initial Value Problem for an Ordinary Differential Equation -- The Interval-Enhanced GNU Fortran Compiler --
Outer Estimation of Generalized Solution Sets to Interval Linear Systems -- A Real Polynomial Decision Algorithm Using Arbitrary-Precision Floating Point Arithmetic -- A Numerical Verification Method of Solutions for the Navier-Stokes
Equations -- Convex Sets of Full Rank Matrices -- Multiaspect Interval Types -- MATLAB-Based Analysis of Roundoff Noise -- SCAN-98 Collected Bibliography
ISBN:9789401712477
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Microprocessors , Programming languages (Electronic computers) , Computers , Numerical analysis , Computer mathematics , Number theory , Mathematics , Number Theory , Theory of Computation , Numeric Computing , Processor Architectures , Computational Mathematics and Numerical Analysis , Programming Languages, Compilers, Interpreters
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Call number:SPRINGER-1999-9789401592390:ONLINE Show nearby items on shelf
Title:Finite Fields: Theory and Computation The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography
Author(s): Igor E Shparlinski
Date:1999
Size:1 online resource (528 p.)
Note:10.1007/978-94-015-9239-0
Contents:Links flowchart -- 1. Polynomial Factorization -- 2. Finding Irreducible and Primitive Polynomials -- 3. The Distribution of Irreducible, Primitive and Other Special Polynomials and Matrices -- 4. Bases and Computation in Finite
Fields -- 5. Coding Theory and Algebraic Curves -- 6. Elliptic Curves -- 7. Recurrence Sequences in Finite Fields and Cyclic Linear Codes -- 8. Finite Fields and Discrete Mathematics -- 9. Congruences -- 10. Some Related Problems --
Appendix 1 -- Appendix 2 -- Appendix 3 -- References
ISBN:9789401592390
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 477
Keywords: Mathematics , Numerical analysis , Computer science , Algebra , Field theory (Physics) , Number theory , Mathematics , Field Theory and Polynomials , Number Theory , Numeric Computing , Symbolic and Algebraic Manipulation , Discrete Mathematics in Computer Science
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Call number:SPRINGER-1999-9789401146470:ONLINE Show nearby items on shelf
Title:Error Control and Adaptivity in Scientific Computing
Author(s):
Date:1999
Size:1 online resource (354 p.)
Note:10.1007/978-94-011-4647-0
Contents:Interval Arithmetic Tools for Range Approximation and Inclusion of Zeros -- A New Concept of Construction of Adaptive Calculation Models for Hyperbolic Problems -- Error Estimates in Linear Systems -- Error Estimates in Padé
Approximation -- Error Estimates and Convergence Acceleration -- Pseudoeigenvalues Spectral Portrait of a Matrix and their Connections with Different Criteria of Stability -- Error Control for Adaptive Sparse Grids -- Orthogonal Matrix
Decompositions in Systems and Control -- Model Reduction of Large-Scale Systems, Rational Krylov versus Balancing Techniques -- Adaptive Symplectic and Reversible Integrators -- Domain Decomposition Methods for Compressible Flows --
Error Control in Finite Element Computations. An introduction to error estimation and mesh-size adaption -- Verified Solution of Large Linear and Nonlinear Systems -- The Accuracy of Numerical Models for Continuum Problems -- Domain
Decomposition Methods for Elliptic Partial Differential Equations
ISBN:9789401146470
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Science Series, Series C: Mathematical and Physical Sciences: 536
Keywords: Mathematics , Numerical analysis , Computer mathematics , Algorithms , Probabilities , Applied mathematics , Engineering mathematics , Mathematics , Numerical Analysis , Probability Theory and Stochastic Processes , Computational Mathematics and Numerical Analysis , Numeric Computing , Algorithms , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-1999-9783642602184:ONLINE Show nearby items on shelf
Title:Computer Algebra in Scientific Computing CASC’99 Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, Munich, May 31 – June 4, 1999
Author(s):
Date:1999
Size:1 online resource (511 p.)
Note:10.1007/978-3-642-60218-4
Contents:Solution of Ordinary Differential Equations with MathLie -- Analysis of Stability of Rational Approximations through Computer Algebra -- An Automatic Symbolic-Numeric Taylor Series ODE Solver -- About Normal Form Method -- Computer
Algebra Investigation of Equivalence in 4-node Plane Stress/Strain Finite Elements -- Symmetry Theorems for the Newtonian 4- and 5-body Problems with Equal Masses -- Symbolic Derivation of Different Class of High-order Compact Schemes
for Partial Differential Equations -- Implementation of Aerodynamic Computations with Mathematica -- Completion of Linear Differential Systems to Involution -- Constrained Hamiltonian Systems and Gröbner Bases -- Construction of
Involutive Monomial Sets for Different Involutive Divisions -- Partial Inverse Heuristic for the Approximate Solution of Non-linear Equations -- Computing Cocycles on Simplicial Complexes -- Bifurcations of Maps in the Software Package
CONTENT -- Extending a Java Based Framework for Scientific Software-Components -- Symbolic-numeric Investigations for Stability Analysis of Satellite Systems -- Quantization by Presentation: The Nambu-Goto String in 1+3 Dimensions --
One Algorithm of Finding Solutions for the Systems with First Integrals -- Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis -- Computer Algebra Tools in Construction of Renormgroup Symmetries 251 -- Where
Numerics Can Benefit from Computer Algebra in Finite Difference Modelling of Fluid Flows -- Effectively Computation of Some Radicals of Submodules of Free Modules -- Computations on Character Tables of Association Schemes --
Investigation of Subgroup Embeddings by the Computer Algebra Package GAP -- An Investigation into Stability of Conservative Mechanical Systems Using Analytic Calculations -- Superfast Computations with Singular Structured Matrices over
Abstract Fields -- From Modeling to Simulation with Symbolic Computation: An Application to Design and Performance Analysis of Complex Optical Devices -- A Symbolic Numeric Environment for Analyzing Measurement Data in Multi-Model
Settings (Extended Abstract) -- Geometric Interpretation of Strong Inconsistency in Knowledge Based Systems -- Indices and Solvability for General Systems of Differential Equations -- Decomposing Systems of Polynomial Equations --
Polynomials with Coefficients of Limited Accuracy -- Localization of Roots of a Polynomial not Represented in Canonical Form -- On Normalization of a Class of Polynomial Hamiltonians: From Ordinary and Inverse Points of View -- On
Multivariate Polynomial Decomposition -- Complexity of Monomial Evaluations and Duality -- On the Simplification of Nonlinear DAE Systems in Analog Circuit Design -- Symbolic Analysis of Computational Algorithms with SYDNA
ISBN:9783642602184
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algorithms , Mathematics , Algorithms , Algorithm Analysis and Problem Complexity
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Call number:SPRINGER-1999-9781461553199:ONLINE Show nearby items on shelf
Title:Geometric Methods and Optimization Problems
Author(s): V Boltyanski
Date:1999
Size:1 online resource (432 p.)
Note:10.1007/978-1-4615-5319-9
ISBN:9781461553199
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Combinatorial Optimization: 4
Keywords: Mathematics , Numerical analysis , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Combinatorics , Mathematics , Optimization , Calculus of Variations and Optimal Control Optimization , Convex and Discrete Geometry , Numeric Computing , Combinatorics
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Call number:SPRINGER-1999-9781461553137:ONLINE Show nearby items on shelf
Title:A Mathematical Structure for Emergent Computation
Author(s): Victor Korotkich
Date:1999
Size:1 online resource (164 p.)
Note:10.1007/978-1-4615-5313-7
ISBN:9781461553137
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 36
Keywords: Mathematics , Numerical analysis , Algebra , Ordered algebraic structures , Algorithms , Mathematical logic , Mathematical optimization , Mathematics , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations , Numeric Computing , Algorithms , Optimization
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Call number:SPRINGER-1999-9781461553090:ONLINE Show nearby items on shelf
Title:Handbook of Tables for Order Statistics from Lognormal Distributions with Applications
Author(s): N Balakrishnan
Date:1999
Size:1 online resource (868 p.)
Note:10.1007/978-1-4615-5309-0
Contents:1. Introduction and Historical Remarks -- 2. Lognormal Distributions and Properties -- 3. Order Statistics and Moments -- 4. Best Linear Unbiased Estimation of Location and Scale Parameters -- 5. Illustrative Examples -- 6. Best
Linear Unbiased Prediction -- 7. Quantile-Quantile Plots and Goodness-of-Fit Test -- Figures -- Tables
ISBN:9781461553090
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Numerical analysis , Quality control , Reliability , Industrial safety , Civil engineering , Statistics , Statistics, general , Numeric Computing , Civil Engineering , Quality Control, Reliability, Safety and Risk
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Call number:SPRINGER-1998-9789401153027:ONLINE Show nearby items on shelf
Title:Elimination Methods in Polynomial Computer Algebra
Author(s): Valery Bykov
Date:1998
Size:1 online resource (244 p.)
Note:10.1007/978-94-011-5302-7
Contents:1. Basic Mathematical Facts -- 1. The logarithmic residue -- 2. The Newton recursion formulas -- 3. Localization theorems for the real zeros of a polynomial -- 4. The local residue (of Grothendieck) -- 5. The multidimensional
logarithmic residue -- 6. The classical scheme for elimination of unknowns -- 2. A Modified Elimination Method -- 7. A generalized transformation formula for local residues -- 8. A modified elimination method -- 9. A formula for the
logarithmic derivative of the resultant -- 10. Multidimensional analogues of the Newton formulas -- 11. Elimination of unknowns in different variables. Real roots -- 3. Applications in Mathematical Kinetics -- 12. Short schemes -- 13.
The search for all stationary solutions -- 14. The kinetic polynomial. Single-route mechanisms -- 15. Construction of the kinetic polynomial in the general case -- 4. Computer Realizations -- 16. Analytic manipulations on the computer
-- 17. Basic problems in computer algebra of polynomials -- 18. Realization of the elimination method -- 19. The construction of the resultant -- List of applications
ISBN:9789401153027
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 448
Keywords: Mathematics , Chemometrics , Numerical analysis , Computer science , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces , Math. Applications in Chemistry , Symbolic and Algebraic Manipulation , Numeric Computing
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Call number:SPRINGER-1998-9781475760958:ONLINE Show nearby items on shelf
Title:Optimal Control Theory, Algorithms, and Applications
Author(s): William H Hager
Date:1998
Size:1 online resource (516 p.)
Note:10.1007/978-1-4757-6095-8
Contents:Uniform Decays in Nonlinear Thermoelastic Systems -- Absolute Stability of Feedback Systems in Hilbert Spaces -- A Projection Method for Accurate Computation of Design Sensitivities -- On Exact Controllability and Convergence of
Optimal Controls to Exact Controls of Parabolic Equations -- Spectral Analysis of Thermo-elastic Plates with Rotational Forces -- Robinson’s Strong Regularity Implies Robust Local Convergence of Newton’s Method -- Augmented Gradient
Projection Calculations for Regulator Problems with Pointwise State and Control Constraints -- On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems -- Formulation and Analysis of a Sequential Quadratic
Programming Method for the Optimal Dirichlet Boundary Control of Navier-Stokes Flow -- A Shape Optimization Problem for the Heat Equation -- Energy Decay in H2 × L2 for Semilinear Plates with Nonlinear Boundary Dissipation Acting via
Moments Only -- Cut-Loci and Cusp Singularities in Parameterized Families of Extremals -- Optimization Techniques for Stable Reduced Order Controllers for Partial Differential Equations -- High-Order Extended Maximum Principles for
Optimal Control Problems with Non-Regular Constraints -- Optimization of the Short Term Operation of a Cascade of Hydro Power Stations -- Remarks on Hybrid Systems -- Uniform Stabilization of a Thin Cylindrical Shell with Rotational
Inertia Terms -- H? Optimal Control of Time-Varying Systems with Integral State Constraints 369 -- Interaction of Design and Control: Optimization with Dynamic Models -- Multidifferential Calculus: Chain Rule, Open Mapping and
Transversal Intersection Theorems -- Resolution of Regularized Output Least Squares Estimators for Elliptic and Parabolic Problems
ISBN:9781475760958
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 15
Keywords: Engineering , Numerical analysis , Mathematical models , Mechanical engineering , Engineering , Mechanical Engineering , Numeric Computing , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-1998-9781475760156:ONLINE Show nearby items on shelf
Title:Nondifferentiable Optimization and Polynomial Problems
Author(s): Naum Z Shor
Date:1998
Size:1 online resource (396 p.)
Note:10.1007/978-1-4757-6015-6
Contents:1 Elements of Convex Analysis, Linear Algebra, and Graph Theory -- 2 Subgradient and ?-Subgradient Methods -- 3 Subgradient-Type Methods with Space Dilation -- 4 Elements of Information and Numerical Complexity of Polynomial Extremal
Problems -- 5 Decomposition Methods Based on Nonsmooth Optimization -- 6 Algorithms for Constructing Optimal on Volume Ellipsoids and Semidefinite Programming -- 7 The Role of Ellipsoid Method for Complexity Analysis of Combinatorial
Problems -- 8 Semidefinite Programming Bounds for Extremal Graph Problems -- 9 Global Minimization of Polynomial Functions and 17-th Hilbert Problem -- References
ISBN:9781475760156
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 24
Keywords: Mathematics , Operations research , Decision making , Numerical analysis , Mathematical optimization , Combinatorics , Engineering , Mathematics , Optimization , Engineering, general , Combinatorics , Operation Research/Decision Theory , Numeric Computing
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Call number:SPRINGER-1998-9781475728095:ONLINE Show nearby items on shelf
Title:Convex Analysis and Global Optimization
Author(s): Hoang Tuy
Date:1998
Size:1 online resource (340 p.)
Note:10.1007/978-1-4757-2809-5
Contents:I Convex Analysis -- 1 Convex Sets -- 2 Convex Functions -- 3 D.C. Functions and D.C. Sets -- II Global Optimization -- 4 Motivation and Overview -- 5 Successive Partitioning Methods -- 6 Outer and Inner Approximation -- 7
Decomposition -- 8 Nonconvex Quadratic Programming -- References
ISBN:9781475728095
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 22
Keywords: Mathematics , Business , Management science , Computers , Numerical analysis , Mathematical models , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Numeric Computing , Mathematical Modeling and Industrial Mathematics , Theory of Computation , Business and Management, general
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Call number:SPRINGER-1998-9781461332794:ONLINE Show nearby items on shelf
Title:High Performance Algorithms and Software in Nonlinear Optimization
Author(s):
Date:1998
Size:1 online resource (382 p.)
Note:10.1007/978-1-4613-3279-4
Contents:Some Perspectives on High-Performance Mathematical Software -- A Monotonous Method for Unconstrained Lipschitz Optimization -- Numerical Performance of an Inexact Interior Point Method -- Replicator Dynamics for Evolution Towards the
Maximum Clique: Variations and Experiments -- A Newton-like Approach to Solving an Equilibrium Problem -- Parallelization Strategies for the Ant System -- The Cobweb Method for Minimizing Convex Functions -- A New Forward Backward
Auction Algorithm -- Modifying the Cholesky Factorization on MIMD Distributed Memory Machines -- A Controlled Random Search Algorithm with Local Newton-type Search for Global Optimization -- Adaptive Precision Control in Quadratic
Programming with Simple Bounds and/or Equalities -- The Development of Parallel Optimisation Routines for the NAG Parallel Library -- Parallel Solution of Large Scale Quadratic Programs -- A Linesearch Algorithm with Memory for
Unconstrained Optimization -- The Modified Absolute-Value Factorization Norm for Trust-Region Minimization -- The LP Dual Active Set Algorithm -- The Use of Optimization Techniques for the Numerical Solution of First Kind Fredholm
Equations -- An Exact Parallel Algorithm for the Maximum Clique Problem -- A Model Development System for Global Optimization -- Support Vector Machines: A Large Scale QP -- Orbit Determination of Binary Stars Using Simulated Annealing
-- New Derivative Formulas for Integral and Probability Functions: Parallel Computations -- The Interior-Point Revolution in Constrained Optimization
ISBN:9781461332794
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 24
Keywords: Mathematics , Numerical analysis , Functions of real variables , Algorithms , Mathematical models , Mathematical optimization , Mathematics , Optimization , Algorithms , Mathematical Modeling and Industrial Mathematics , Numeric Computing , Real Functions
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Call number:SPRINGER-1998-9781461206231:ONLINE Show nearby items on shelf
Title:Numerical Linear Algebra for Applications in Statistics
Author(s): James E Gentle
Date:1998
Size:1 online resource (221 p.)
Note:10.1007/978-1-4612-0623-1
Contents:1 Computer Storage and Manipulation of Data -- 1.1 Digital Representation of Numeric Data -- 1.2 Computer Operations on Numeric Data -- 1.3 Numerical Algorithms and Analysis -- Exercises -- 2 Basic Vector/Matrix Computations -- 2.1
Notation, Definitions, and Basic Properties -- 2.2 Computer Representations and Basic Operations -- Exercises -- 3 Solution of Linear Systems -- 3.1 Gaussian Elimination -- 3.2 Matrix Factorizations -- 3.3 Iterative Methods -- 3.4
Numerical Accuracy -- 3.5 Iterative Refinement -- 3.6 Updating a Solution -- 3.7 Overdetermined Systems Least Squares -- 3.8 Other Computations for Linear Systems -- Exercises -- 4 Computation of Eigenvectors and Eigenvalues and the
Singular Value Decomposition -- 4.1 Power Method -- 4.2 Jacobi Method -- 4.3 QR Method for Eigenanalysis -- 4.4 Singular Value Decomposition -- Exercises -- 5 Software for Numerical Linear Algebra -- 5.1 Fortran and C -- 5.2
Interactive Systems for Array Manipulation -- 5.3 High-Performance Software -- 5.4 Test Data -- Exercises -- 6 Applications in Statistics -- 6.1 Fitting Linear Models with Data -- 6.2 Linear Models and Least Squares -- 6.3
Ill-Conditioning in Statistical Applications -- 6.4 Testing the Rank of a Matrix -- 6.5 Stochastic Processes -- Exercises -- Appendices -- A Notation and Definitions -- B Solutions and Hints for Selected Exercises -- Literature in
Computational Statistics -- World Wide Web, News Groups, List Servers, and Bulletin Boards -- References -- Author Index
ISBN:9781461206231
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Matrix theory , Statistics , Mathematics , Algebra , Statistics and Computing/Statistics Programs , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1997-9789401706995:ONLINE Show nearby items on shelf
Title:Algorithmic and Computer Methods for Three-Manifolds
Author(s): A. T Fomenko
Date:1997
Size:1 online resource (337 p.)
Note:10.1007/978-94-017-0699-5
Contents:1. Preliminary information -- 2. Surfaces -- 3. The homeotopy group of a surface -- 4. The presentation of three-dimensional manifolds by the identification of faces of polyhedra -- 5. Heegaard splittings and Heegaard Diagrams -- 6.
Algorithmic recognition of the sphere -- 7. Connected sums -- 8. Knots and links -- 9. Surgery Along Links -- 10. Seifert Manifolds -- 11. Class ? -- 12. The Haken Method -- Comments on the Figures -- References
ISBN:9789401706995
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 425
Keywords: Mathematics , Numerical analysis , Mathematical models , Geometry , Topology , Mathematics , Geometry , Topology , Numeric Computing , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-1997-9781461541097:ONLINE Show nearby items on shelf
Title:Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
Author(s): Larry A Lambe
Date:1997
Size:1 online resource (300 p.)
Note:10.1007/978-1-4615-4109-7
ISBN:9781461541097
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 423
Keywords: Mathematics , Numerical analysis , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Physics , Mathematics , Associative Rings and Algebras , Theoretical, Mathematical and Computational Physics , Numeric Computing , Category Theory, Homological Algebra
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Call number:SPRINGER-1996-9789401722032:ONLINE Show nearby items on shelf
Title:Mathematical Theory of Control Systems Design
Author(s): V. N Afanas’ev
Date:1996
Size:1 online resource (672 p.)
Note:10.1007/978-94-017-2203-2
Contents:I. Continuous and Discrete Deterministic Systems -- II. Stability of Stochastic Systems -- III. Description of Control Problems -- IV. The Classical Calculus of Variations and Optimal Control -- V. The Maximum Principle -- VI. Linear
Control Systems -- VII. Dynamic Programming Approach. Sufficient Conditions for Optimal Control -- VIII. Some Additional Topics of Optimal Control Theory -- IX. Control of Stochastic Systems. Problem Statements and Investigation
Techniques -- X. Optimal Control on a Time Interval of Random Duration -- XI. Optimal Estimation of the State of the System -- XII. Optimal Control of the Observation Process -- XIII. Linear Time-Invariant Control Systems -- XIV.
Numerical Methods for the Investigation of Nonlinear Control Systems -- XV. Numerical Design of Optimal Control Systems -- General References
ISBN:9789401722032
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 341
Keywords: Mathematics , Numerical analysis , Applied mathematics , Engineering mathematics , System theory , Mathematical models , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Applications of Mathematics , Systems Theory, Control , Mathematical Modeling and Industrial Mathematics , Numeric Computing
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Call number:SPRINGER-1996-9781475724950:ONLINE Show nearby items on shelf
Title:Rigorous Global Search: Continuous Problems
Author(s): R. Baker Kearfott
Date:1996
Size:1 online resource (264 p.)
Note:10.1007/978-1-4757-2495-0
Contents:1 Preliminaries -- 2 Software Environments -- 3 On Preconditioning -- 4 Verified Solution of Nonlinear Systems -- 5 Optimization -- 6 Non-Differentiable Problems -- 7 Use of Intermediate Quantities in THE Expression Values --
References
ISBN:9781475724950
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 13
Keywords: Mathematics , Operations research , Decision making , Software engineering , Numerical analysis , Mathematical optimization , Mathematics , Optimization , Numeric Computing , Operation Research/Decision Theory , Software Engineering/Programming and Operating Systems
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Call number:SPRINGER-1996-9781461207139:ONLINE Show nearby items on shelf
Title:Numerical Approximation of Hyperbolic Systems of Conservation Laws
Author(s): Edwige Godlewski
Date:1996
Size:1 online resource (510 p.)
Note:10.1007/978-1-4612-0713-9
Contents:From the contents: Introduction: Definitions and Examples -- Nonlinear hyperbolic systems in one space dimension -- Gas dynamics and reaction flows -- Finite Difference Schemes for one-dimensional systems -- The case of
multidimensional systems -- An Introduction to Boundary conditions
ISBN:9781461207139
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 118
Keywords: Mathematics , Numerical analysis , Physics , Mathematics , Numerical Analysis , Numerical and Computational Physics , Numeric Computing
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Call number:SPRINGER-1995-9789401711081:ONLINE Show nearby items on shelf
Title:Computational Algebra and Number Theory
Author(s):
Date:1995
Size:1 online resource (322 p.)
Note:10.1007/978-94-017-1108-1
Contents:1 Calculating Growth Functions for Groups Using Automata -- 2 The Minimal Faithful Degree of a Finite Commutative Inverse Semigroup -- 3 Generalisations of the Todd-Coxeter Algorithm -- 4 Computing Left Kan Extensions Using the
Todd—Coxeter Procedure -- 5 Computing Finite Soluble Quotients -- 6 Computing Automorphism Groups of p-Groups -- 7 The Art and Science of Computing in Large Groups -- 8 Does the Set of Points of an Elliptic Curve Determine the Group?
-- 9 An Implementation of the Elliptic Curve Integer Factorization Method -- 10 Continued Fractions of Algebraic Numbers -- 11 Bounds for Class Numbers of Quadratic Orders -- 12 Short Representation of Quadratic Integers -- 13 A
Density Conjecture for the Negative Pell Equation -- 14 Computing Aurifeuillian Factors -- 15 Computation of Cyclotomic Polynomials with Magma -- 16 On Some Characteristics of Uniformity of Distribution and Their Applications -- 17
Recent Progress on Consistency Testing for Polynomial Systems -- 18 A New Generalisation of the Kummer Congruence -- 19 Series Expansions of Algebraic Functions -- 20 Generation of Cocyclic Hadamard Matrices -- 21 Large Cayley Graphs
and Digraphs with Small Degree and Diameter -- 22 Hyperbolic Pyritohedra Constructed from the Coxeter Group [4,3,5]
ISBN:9789401711081
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 325
Keywords: Mathematics , Numerical analysis , Computer science , Algebra , Group theory , Number theory , Combinatorics , Mathematics , Algebra , Number Theory , Group Theory and Generalizations , Combinatorics , Symbolic and Algebraic Manipulation , Numeric Computing
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Call number:SPRINGER-1995-9789401706216:ONLINE Show nearby items on shelf
Title:Adjoint Equations and Analysis of Complex Systems
Author(s): Guri I Marchuk
Date:1995
Size:1 online resource (468 p.)
Note:10.1007/978-94-017-0621-6
Contents:I. Adjoint Equations and Perturbation Theory -- 1. Main and Adjoint Equations. Perturbation Theory -- 2. Simple Main and Adjoint Equations of Mathematical Physics -- 3. Nonlinear Equations -- 4. Inverse Problems and Adjoint Equations
-- II. Problems of Environment and Optimization Methods on the Basis of Adjoint Equations -- 5. Analysis of Mathematical Models in Environmental Problems -- 6. Adjoint Equations, Optimization -- 7. Adjoint Equations and Models of
General Circulation of Atmosphere and Ocean -- 8. Adjoint Equations in Data Processing Problems -- Appendix I: Splitting Methods in the Solution of Global Problems -- 1. Splitting Methods for Solution of Non-Stationary Problems -- 2.
Multicomponent Splitting of Problems -- 3. An Example of Application: Two-Dimensional Problem with Constant Coefficients -- Appendix II: Difference Analogue of Non-Stationary Heat Diffusion Equation in Atmosphere and Ocean
ISBN:9789401706216
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 295
Keywords: Computer science , Numerical analysis , Applied mathematics , Engineering mathematics , Mathematical models , Environment , Computer Science , Numeric Computing , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Environment, general
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Call number:SPRINGER-1995-9789401584555:ONLINE Show nearby items on shelf
Title:Numerical Integration of Stochastic Differential Equations
Author(s): G. N Milstein
Date:1995
Size:1 online resource (172 p.)
Note:10.1007/978-94-015-8455-5
Contents:1. Mean-square approximation of solutions of systems of stochastic differential equations -- 2. Modeling of Itô integrals -- 3. Weak approximation of solutions of systems of stochastic differential equations -- 4. Application of the
numerical integration of stochastic equations for the Monte-Carlo computation of Wiener integrals
ISBN:9789401584555
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 313
Keywords: Computer science , Numerical analysis , Applied mathematics , Engineering mathematics , Probabilities , Computer Science , Numeric Computing , Probability Theory and Stochastic Processes , Applications of Mathematics
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Call number:SPRINGER-1995-9789401100335:ONLINE Show nearby items on shelf
Title:High Performance Computing in the Geosciences
Author(s):
Date:1995
Size:1 online resource (261 p.)
Note:10.1007/978-94-011-0033-5
Contents:Performance and Portability in Parallel Computing: a Weather Forecast View -- The New Canadian Variable-Resolution Model: a Universal Tool to Study Atmospheric Phenomena on a Broad Temporal and Spatial Scale -- Experiences with
Parallel Programming in Meteorology -- Porting the Quasi-Nonhydrostatic Meteorological Model to the Kendall Square Research KSR1 -- Automatic Differentiation, Tangent Linear Models, and (Pseudo-) Adjoints -- Iterative Domain
Decomposition Algorithms: Theory and Applications -- Parallel Computing and Operational Sea-Ice Forecasting -- Coupled Ocean-Atmosphere Simulations -- First Considerations about Modelling the Ocean General Circulation on MIMD Machines
by Domain Decomposition Method -- Predicibility of the Oceanic Circulations -- Application of Fifth-Order Compact Upwind Differencing to Moisture Transport Equation in AGCM -- A Parallel Algorithm for Simulation of Long Range Transport
of Air Pollution -- Multidisciplinary Mathematical Model for Earthquake Prediction Studies -- Basic Functional Representation of Programs for Automatic Differentiation in the Odyssée System -- Translation Tools for High Performance
Computing -- Global Atmospheric and Ocean Modeling on the Connection Machine -- Efficiency of a Number of Processors in Integrating a Global Weather Model
ISBN:9789401100335
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Science Series, Series C: Mathematical and Physical Sciences: 462
Keywords: Earth sciences , Oceanography , Atmospheric sciences , Numerical analysis , System theory , Air pollution , Earth Sciences , Oceanography , Atmospheric Sciences , Systems Theory, Control , Numeric Computing , Atmospheric Protection/Air Quality Control/Air Pollution
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Call number:SPRINGER-1995-9781461522416:ONLINE Show nearby items on shelf
Title:Computations with Markov Chains Proceedings of the 2nd International Workshop on the Numerical Solution of Markov Chains
Author(s):
Date:1995
Size:1 online resource (600 p.)
Note:10.1007/978-1-4615-2241-6
Contents:1 Detecting Block GI/M/1 and Block M/G/1 Matrices from Model Specifications -- 2 On Cyclic Reduction Applied to a Class of Toeplitz-like Matrices Arising in Queueing Problems -- 3 A Markov Modulated, Nearly Completely Decomposable
M/M/1 Queue -- 4 Preconditioned Krylov subspace methods for the numerical solution of Markov chains -- 5 A Parallel Block Projection Method of the Cimmino Type for Finite Markov Chains -- 6 Iterative Methods for Queueing Models with
Batch Arrivals -- 7 Transient Colutions of Markov Processes by Krylov Subspaces -- 8 Exact Methods for the Transient Analysis of Nonhomogeneous Continuous Time Markov Chains -- 9 Time-Dependent behavior of Redundant Systems with
Deterministic Repair -- 10 What is Fundamental for Markov Chains: First Passage Times, Fundamental Matrices, and Group Generalized Inverses -- 11 Immediate Events in Markov Chains -- 12 Compositional Markovian Modelling Using A Process
Algebra -- 13 Equivalence Relations for Stochastic Automata Networks -- 14 Graphs and Stochastic Automata Networks -- 15 Analyzing Sample Path Data from Markov Chain Sampling Experiments -- 16 Resource Sharing Models with
State-Dependent Arrivais of Batches -- 17 Implementable Policies: Discounted Cost Case -- 18 Two Bounding Schemes for the Steady-State Solution of Markov Chains -- 19 The Power-Series Algorithm for Markovian Queueing Networks -- 20
Discrete-Time Markovian Stochastic Petri Nets -- 21 Concurrent Generalized Petri Nets -- 22 Exploiting Isomorphisms and Special Structures in the Analysis of Markov Regenerative Stochastic Petri Nets -- 23 Numerical solution of large
finite Markov chains by algebraic multigrid techniques -- 24 On the Utility of the Multi-Level Algorithm for the Solution of Nearly Completely Decomposable Markov Chains -- 25 A Computationally Efficient Algorithm for Characterizing
the Superposition of Multiple Heterogeneous Interrupted Bernoulli Processes -- 26 Generalized Folding Algorithm for Transient Analysis of Finite QBD Processes and its Queueing Applications -- 27 Efficient Solutions for a Class of
Non-Markovian Models -- 28 Markovian Arrival and Service Communication Systems: Spectral Expansions, Separability and Kronecker-Product Forms -- 29 Empirical Comparison of Uniformization Methods for Continuous-Time Markov Chains -- 30
Numerical Methods for M/G/1 Type Queues -- 31 Closing the Gap between Classical and Tensor Based Iteration Techniques -- 32 Adaptive Relaxation for the Steady-State Analysis of Markov Chains -- 33 State Space Decomposition for Large
Markov Chains -- 34 Aggregation/Disaggregation Method on Parallel Computer -- 35 Parallel Implementation of the GTH Algorithm for Markov Chains -- 36 A Parallel Implementation of the Block-GTH algorithm -- 37 Approximate Computation of
Sojourn Time Distribution in Open Queueing Networks
ISBN:9781461522416
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Operations research , Decision making , Microprocessors , Numerical analysis , Computer mathematics , Number theory , Probabilities , Mathematics , Number Theory , Probability Theory and Stochastic Processes , Numeric Computing , Computational Mathematics and Numerical Analysis , Operation Research/Decision Theory , Processor Architectures
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Call number:SPRINGER-1994-9789401583909:ONLINE Show nearby items on shelf
Title:Convex Functions and Optimization Methods on Riemannian Manifolds
Author(s): Constantin Udrişte
Date:1994
Size:1 online resource (350 p.)
Note:10.1007/978-94-015-8390-9
Contents:1. Metric properties of Riemannian manifolds -- 2. First and second variations of the p-energy of a curve -- 3. Convex functions on Riemannian manifolds -- 4. Geometric examples of convex functions -- 5. Flows, convexity and energies
-- 6. Semidefinite Hessians and applications -- 7. Minimization of functions on Riemannian manifolds -- Appendices -- 1. Riemannian convexity of functions f : ? ? ? -- §0. Introduction -- §1. Geodesics of (?, g) -- §3. Convex functions
on (? , g) -- 2. Descent methods on the Poincaré plane -- §0. Introduction -- §1. Poincaré plane -- §2. Linear affine functions on the Poincaré plane -- §3. Quadratic affine functions on the Poincaré plane -- §4. Convex functions on
the Poincaré plane -- Examples of hyperbolic convex functions -- §5. Descent algorithm on the Poincaré plane -- TC program for descent algorithm on Poincaré plane (I) -- TC program f or descent algorithm on Poincaré plane (II) -- 3.
Descent methods on the sphere -- §1. Gradient and Hessian on the sphere -- §2. Descent algorithm on the sphere -- Critical values of the normal stress -- Critical values of the shear stress -- TC program for descent method on the unit
sphere -- 4. Completeness and convexity on Finsler manifolds -- §1. Complete Finsler manifolds -- §2. Analytical criterion for completeness -- §3. Warped products of complete Finsler manifolds -- §4. Convex functions on Finsler
manifolds -- References
ISBN:9789401583909
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 297
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Mathematical models , Geometry , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Geometry , Numeric Computing , Analysis , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-1994-9789401111348:ONLINE Show nearby items on shelf
Title:Interior Point Approach to Linear, Quadratic and Convex Programming Algorithms and Complexity
Author(s): D. den Hertog
Date:1994
Size:1 online resource (210 p.)
Note:10.1007/978-94-011-1134-8
Contents:1 Introduction of IPMs -- 1.1 Prelude -- 1.2 Intermezzo: Complexity issues -- 1.3 Classifying the IPMs -- 1.4 Scope of the book -- 2 The logarithmic barrier method -- 2.1 General framework -- 2.2 Central paths for some examples -- 2.3
Linear programming -- 2.4 Convex quadratic programming -- 2.5 Smooth convex programming -- 2.6 Miscellaneous remarks -- 3 The center method -- 3.1 General framework -- 3.2 Centers for some examples -- 3.3 Linear programming -- 3.4
Smooth convex programming -- 3.5 Miscellaneous remarks -- 4 Reducing the complexity for LP -- 4.1 Approximate solutions and rank-one updates -- 4.2 Adding and deleting constraints -- 5 Discussion of other IPMs -- 5.1 Path-following
methods -- 5.2 Affine scaling methods -- 5.3 Projective potential reduction methods -- 5.4 Affine potential reduction methods -- 5.5 Comparison of IPMs -- 6 Summary, conclusions and recommendations -- Appendices -- A Self-concordance
proofs -- A.1 Some general composition rules -- A.2 The dual geometric programming problem -- A.3 The extended entropy programming problem -- A.4 The primal 4-programming problem -- A.5 The dual 4-programming problem -- A.6 Other
smoothness conditions -- B General technical lemmas
ISBN:9789401111348
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 277
Keywords: Mathematics , Computers , Numerical analysis , Algorithms , Convex geometry , Discrete geometry , Mathematical optimization , Mathematics , Optimization , Algorithms , Theory of Computation , Convex and Discrete Geometry , Numeric Computing
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Call number:SPRINGER-1994-9789401110327:ONLINE Show nearby items on shelf
Title:Transition, Turbulence and Combustion Volume I Transition
Author(s):
Date:1994
Size:1 online resource (393 p.)
Note:10.1007/978-94-011-1032-7
Contents:Transition -- Research Status/Requirements and NASA Applications for Wall Layer Transition -- Nonlinear Interactions Between Oblique Instability Waves on Nearly Parallel Shear Flows -- Group Summary: Experiments -- Cross-Flow
Instability with Periodic Distributed Roughness -- Instabilities Introduced by a Point Source on a Conical Body at Mach 6: Stability Analysis and Experimental Implementation -- Group Summary: Stability Theory and Applications -- The
Stability of Flow Along a Streamwise Corner -- Structure of the Stagnation Point Flow in the Presence of Cross-Stream Vorticity in the External Flow -- On the Stability of a Curved Mixing Layer -- Secondary Instability of Görtler
Vortices -- A Generalized Method for the Stability of Incompressible Attachment-Line Flow -- Effect of Crossflow on Görtler Instability -- Group Summary: Advanced Asymptotics -- The Stability of Forced-Convection Flow Over Horizontal
Heated Surfaces and the Effect of Crossflow -- Modulated Rolls in Rotating Channel Flow -- On the Instability of Two-Phase Stagnation Point Flow -- The Forcing Mechanism for Vortex/Rayleigh-Wave Interactions in Heated Boundary Layers
-- A Finite Element Method for the Study of Linear Stability -- Concerning the Effect of Crossflow on the Stability of Görtler Vortices -- Breakup of Cylindrical Jets Governed by the Navier-Stokes Equations -- An Asymptotic
Investigation of Modes of Instability of the Compressible Boundary Layer Over a Swept Wing -- Stability of Hypersonic Flow Over a Cone -- Group Summary: Receptivity -- Leading-Edge Receptivity of Acoustic Disturbances -- Numerical
Simulation of Particle Effects on Boundary Layer Flow -- Group Summary: Simulations I -- A Note on Measures of Disturbance Size for Spatially Evolving Flows -- Spatial Evolution of Disturbances in Plane Poiseuille Flow -- Numerical
Simulation of a Boundary Layer on a Flat Plate with a Row of Suction Holes -- Threshold Amplitudes for Transition in Channell Flows -- Vortex Identification and Analysis in Complex Flows -- On the Secondary Stability of Swept Wing
Flows -- Group Summary: Simulations II -- Structure Function Dynamic Subgrid-Scale Model -- Boundary-Layer Transition Control by Localized Heating: DNS and Experiment -- Large-Eddy Simulation of Boundary Layer Transition on Swept Wings
-- Transitional High-Speed Flow on a Cone: PSE Versus DNS -- Volume II
ISBN:9789401110327
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ICASE/LaRC Interdisciplinary Series in Science and Engineering: 2&3
Keywords: Physics , Physical chemistry , Numerical analysis , Mechanics , Applied mathematics , Engineering mathematics , Physics , Mechanics , Physical Chemistry , Numeric Computing , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-1994-9789401109246:ONLINE Show nearby items on shelf
Title:Polytopes: Abstract, Convex and Computational
Author(s):
Date:1994
Size:1 online resource (507 p.)
Note:10.1007/978-94-011-0924-6
Contents:Abstract -- Recent results on Coxeter groups -- The evolution of Coxeter-Dynkin diagrams -- Polyhedra with hollow faces -- A hierarchical classification of Euclidean polytopes with regularity properties, -- Modern developments in
regular polytopes -- Classification of locally toroidal regular polytopes -- Convex -- Face numbers and subdivisions of convex polytopes -- Approximation by convex polytopes -- Some aspects of the combinatorial theory of convex
polytopes -- On volumes of non-Euclidean polytopes -- Manifolds in the skeletons of convex polytopes,tightness, and generalized Heawood inequalities -- Generalized stress and motions -- Polytopes and Brunn-Minkowski theory -- A survey
of Eulerian posets -- Computational -- On recent progress in computational synthetic geometry -- The ridge graph of the metric polytope and some relatives -- On the complexity of some basic problems in Computational Convexity: II.
Volume and mixed volumes -- The diameter of polytopes and related applications -- Problems -- Contributed problems -- Three problems about 4-polytopes
ISBN:9789401109246
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 440
Keywords: Mathematics , Numerical analysis , Computer science , Group theory , Geometry , Convex geometry , Discrete geometry , Mathematics , Geometry , Convex and Discrete Geometry , Numeric Computing , Discrete Mathematics in Computer Science , Group Theory and Generalizations
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Call number:SPRINGER-1994-9789400903692:ONLINE Show nearby items on shelf
Title:Algorithms for Continuous Optimization The State of the Art
Author(s):
Date:1994
Size:1 online resource (565 p.)
Note:10.1007/978-94-009-0369-2
Contents:1. General Optimality Conditions via a Separation Scheme -- 2. Linear Equations in Optimisation -- 3. Generalized and Sparse Least Squares Problems -- 4. Algorithms for Solving Nonlinear Systems of Equations -- 5. An Overview of
Unconstrained Optimization -- 6. Nonquadratic Model Methods in Unconstrained Optimization -- 7. Algorithms for General Constrained Nonlinear Optimization -- 8. Exact Penalty Methods -- 9. Stable Barrier-Projection and Barrier-Newton
Methods for Linear and Nonlinear Programming -- 10. Large-scale Nonlinear Constrained Optimization: a Current Survey -- 11. ABS Methods for Nonlinear Optimization -- 12. A Condensed Introduction to Bundle Methods in Nonsmooth
Optimization -- 13. Computational Methods for Linear Programming -- 14. Infeasible Interior Point Methods for Solving Linear Programs -- 15. Algorithms for Linear Complementarity Problems -- 16. A Homework Exercise — the “Big M”
Problem -- 17. Deterministic Global Optimization -- 18. On Automatic Differentiation and Continuous Optimization -- 19. Neural Networks and Unconstrained Optimization -- 20. Parallel Nonlinear Optimization: Limitations, Challenges and
Opportunities
ISBN:9789400903692
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 434
Keywords: Mathematics , Computers , Numerical analysis , Computer mathematics , Algorithms , Mathematical optimization , Mathematics , Optimization , Numeric Computing , Computational Mathematics and Numerical Analysis , Algorithms , Theory of Computation
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Call number:SPRINGER-1993-9789401707015:ONLINE Show nearby items on shelf
Title:Algorithms for Elliptic Problems Efficient Sequential and Parallel Solvers
Author(s): Marián Vajteršic
Date:1993
Size:1 online resource (292 p.)
Note:10.1007/978-94-017-0701-5
Contents:1 Fast Methods for Solving the Poisson Equation -- 2 Fast Serial Algorithms for Solving Biharmonic Equation -- 3 Parallel Algorithms for Solving Certain Elliptic Boundary Value Problems -- 4 Implementation of Parallel Algorithms on
Specialized Computers -- 5 Parallel Multigrid Algorithms -- 6 VLSI Elliptic Solvers
ISBN:9789401707015
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (East European Series): 58
Keywords: Mathematics , Microprocessors , Numerical analysis , Algorithms , Mathematics , Algorithms , Numeric Computing , Processor Architectures
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Call number:SPRINGER-1993-9789401582384:ONLINE Show nearby items on shelf
Title:Bifurcations and Periodic Orbits of Vector Fields
Author(s):
Date:1993
Size:1 online resource (474 p.)
Note:10.1007/978-94-015-8238-4
Contents:Complex Foliations Arising from Polynomial Differential Equations -- Techniques in the Theory of Local Bifurcations: Blow-Up, Normal Forms, Nilpotent Bifurcations, Singular Perturbations -- Six Lectures on Transseries, Analysable
Functions and the Constructive Proof of Dulac’s Conjecture -- Knots and Orbit Genealogies in Three Dimensional Flows -- Dynamical Systems: Some Computational Problems -- Local Dynamics and Nonlocal Bifurcations -- Singularités
d’équations différentielles holomorphes en dimension deux -- Techniques in the Theory of Local Bifurcations: Cyclicity and Desingularization -- Bifurcation Methods in Polynomial Systems -- Algebraic and Geometric Aspects of the Theory
of Polynomial Vector Fields
ISBN:9789401582384
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 408
Keywords: Mathematics , Numerical analysis , Functions of complex variables , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential equations , Sequences (Mathematics) , Geometry , Mathematics , Ordinary Differential Equations , Global Analysis and Analysis on Manifolds , Functions of a Complex Variable , Sequences, Series, Summability , Geometry , Numeric Computing
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Call number:SPRINGER-1993-9789401581691:ONLINE Show nearby items on shelf
Title:Spline Functions and Multivariate Interpolations
Author(s): B. D Bojanov
Date:1993
Size:1 online resource (278 p.)
Note:10.1007/978-94-015-8169-1
Contents:1. Interpolation by Algebraic polynomials -- 2. The Space of Splines -- 3. B-Splines -- 4. Interpolation by Spline Functions -- 5. Natural Spline Functions -- 6. Perfect Splines -- 7. Monosplines -- 8. Periodic Splines -- 9.
Multivariate B-Splines and Truncated Powers -- 10. Multivariate Spline Functions and Divided Differences -- 11. Box Splines -- 12. Multivariate Mean Value Interpolation -- 13. Multivariate Polynomial Interpolations Arising by
Hyperplanes -- 14. Multivariate Pointwise Interpolation -- References -- Notation
ISBN:9789401581691
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 248
Keywords: Mathematics , Numerical analysis , Approximation theory , Functions of real variables , Computer mathematics , Mathematics , Approximations and Expansions , Computational Mathematics and Numerical Analysis , Real Functions , Numeric Computing
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Call number:SPRINGER-1993-9789401581370:ONLINE Show nearby items on shelf
Title:Vortex Flows and Related Numerical Methods
Author(s):
Date:1993
Size:1 online resource (26 p.)
Note:10.1007/978-94-015-8137-0
Contents:Mathematical and numerical modeling of incompressible flows -- Local spectral analysis of turbulent flows using wavelet transforms -- Operator splitting for Navier-Stokes and Chorin-Marsden product formula -- Velicity methods:
Lagrangian numerical methods which preserve the Hamiltonian structure of incompressible fluid flow -- Statistical mechanics for the vortex model -- On singular solutions of the Vlasov-Poisson equations -- Point vortices and
localization in Euler flows -- Turbulence modeling for incompressible vortex flow -- Vorticity generation, wakes and boundary layers in two dimensions -- Investigation of the use of the Prandtl/Navier-Stokes equation procedures for
two-dimensional incompressible flows -- Vorticity boundary conditions for the Navier-Stokes equation in velocity-vorticity formulation -- A coupled potential-boundary layer calculation method for unsteady flows around airfoils --
Viscous simulation of wake patterns -- Contour dynamics and vortex methods -- The vorton methods -- Numerical simulation of unsteady flows behind cylindrical structures using a finite difference-particle superposition algorithm --
Moment accelerated contour surgery -- Direct numerical simulations using vortex methods -- Numerical study of the motion and deformation of two-dimensional bubbles by a vortex method -- A hybrid vortex method with deterministic
diffusion -- A slightly diffusive contour dynamics -- Computations of three dimensional incompressible flow -- Model coherent structure dynamics: vortex reconnection, core dynamics and interaction with turbulence -- The nonlinear
dynamics of a jet shear layer with swirl -- Dynamics of vortex tubes in three-dimensional turbulence -- Numerical simulation of axisymmetric vortex sheet roll-up -- Free vortex rings, analogies and differences between vorticity and a
passive scalar -- Compressible and reacting flows -- Turbulent eddy structures, combustion and chemical reactions -- Vortex generation and evolution in numerical simulation of transitional shear flows -- Stability analysis of
differentially-heated asymmetric vorticity layers -- A particle in cell method for the 2-D compressible Euler equations
ISBN:9789401581370
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 395
Keywords: Engineering , Biotechnology , Numerical analysis , Physics , Mechanics , Mechanical engineering , Engineering , Mechanical Engineering , Biotechnology , Mechanics , Numeric Computing , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1993-9789401119528:ONLINE Show nearby items on shelf
Title:Guaranteed Accuracy in Numerical Linear Algebra
Author(s): S. K Godunov
Date:1993
Size:1 online resource (537 p.)
Note:10.1007/978-94-011-1952-8
Contents:1 Singular Value Decomposition -- 2 Systems of Linear Equations -- 3 Deflation Algorithms for Band Matrices -- 4 Sturm Sequences of Tridiagonal Matrices -- 5 Peculiarities of Computer Computations
ISBN:9789401119528
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 252
Keywords: Computer science , Numerical analysis , Matrix theory , Algebra , Computer Science , Numeric Computing , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1993-9789401118101:ONLINE Show nearby items on shelf
Title:Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters
Author(s):
Date:1993
Size:1 online resource (372 p.)
Note:10.1007/978-94-011-1810-1
Contents:1: Modeling of Complex Systems with Asymptotic-enhanced Numerical Methods -- Asymptotics and Numerics for Laminar Flow over a Finite Flat Plate -- Time-Scale Decoupling for Nearly Periodic Advection-Diffusion Equations -- Turbulence
Modeling from an Asymptotic Point of View -- Some Applications of Combined Asymptotics and Numerics in Fluid Mechanics and Aerodynamics -- Asymptotic-Assisted Numerics for Spectral Perturbation in MHD Instability -- 2:
Asymptotic-induced Domain Decomposition Methods -- Domain Decomposition as a Mechanism for Using Asymptotic Methods -- Domain Decomposition: A Blowup Problem and the Ginzburg-Landau Equations -- Factorization of the Advection-Diffusion
Operator and Domain Decomposition Method -- 3: Multiple-Scale Problems in Scientific Computing -- Modulated Traveling Waves in Combustion -- Asymptotics and Multiscale Simulation in a Numerical Combustion Laboratory -- 4: Applied and
Asymptotic Analysis -- Viscoelastic Fluid Flow: Critical Parameters and Asymptotics -- Exponentially Small Splitting of Homoclinic Orbits in a Water-Wave Problem -- Supersensitive Boundary Value Problems -- Asymptotics of the
Thual-Fauve Pulse -- Exponential Convergence of the Galerkin Approximation of the Ginzburg-Landau Equation -- 5: Symbolic Manipulation Tools for Asymptotic Analysis -- General Asymptotic Scales and Computer Algebra -- 6: Numerical
Methods, Algorithms, and Architectures -- Domain Decomposition by the Mortar Element Method -- Multilevel Projection Methods for Partial Differential Equations -- A Parallel Adaptive Multigrid Algorithm for the Incompressible
Navier-Stokes Equations -- Numerical Approximation of a 2-D Singular-Perturbation Problem Using an Asymptotic Expansion and a Finite Element Method -- Internal Boundary Conditions and the Feedback Loop for Nested Two-Way Communication
Schemes -- Subdomain Predictor-Corrector Algorithms for Solving the Incompressible Navier-Stokes Equation -- Parallel BLAS and BLACS for Numerical Algorithms on a Reconfigurable Network
ISBN:9789401118101
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 384
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , Mathematics , Analysis , Partial Differential Equations , Numeric Computing
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Call number:SPRINGER-1992-9789401580243:ONLINE Show nearby items on shelf
Title:Differential and Integral Equations through Practical Problems and Exercises
Author(s): Gheorghe Micula
Date:1992
Size:1 online resource (397 p.)
Note:10.1007/978-94-015-8024-3
Contents:I. Problems -- 1. Differential Equations Solvable by Quadrature -- 2. Existence and Uniqueness Theorems -- 3. Linear Differential Equations -- 4. The Method of Laplace Transforms -- 5. Integral Equations -- 6. Numerical and
Approximate Methods of Solving Differential and Integral Equation -- 7. First Order Partial Differential Equations -- 8. Miscellaneous Problems -- II. Solutions -- 1. Differential Equations Solvable by. Quadrature -- 2. Existence and
Uniqueness Theorems -- 3. Linear Differential Equations -- 4. The Method of Laplace Transforms -- 5. Integral Equations -- 6. Numerical and Approximate Methods of Solving Differential and Integral Equation -- 7. First Order Partial
Differential Equations
ISBN:9789401580243
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series: 7
Keywords: Mathematics , Numerical analysis , Integral equations , Differential equations , Partial differential equations , Mathematics , Ordinary Differential Equations , Integral Equations , Partial Differential Equations , Numeric Computing
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Call number:SPRINGER-1992-9789401126465:ONLINE Show nearby items on shelf
Title:Numerical Integration Recent Developments, Software and Applications
Author(s):
Date:1992
Size:1 online resource (367 p.)
Note:10.1007/978-94-011-2646-5
Contents:Numerical Integration Rules -- A Survey of Methods for Constructing Cubature Formulae -- Linear Representations of Finite Groups and the Ideal Theoretical Construction of G-Invariant Cubature Formulas -- On the Number of Nodes of Odd
Degree Cubature Formulae for Integrals with Jacobi Weights on a Simplex -- On Quadrature Formulae near Gaussian Quadrature -- Numerical Integration in High Dimensions — the Lattice Rule Approach -- Existence Theorems for Efficient
Lattice Rules -- SINC Quadratures for Cauchy Principal Value Integrals -- Interpolatory Product Integration in the Presence of Singularities: Lp Theory -- The Numerical Evaluation of Definite Integrals Affected by Singularities Near
the Interval of Integration -- Application of Computer Algebra Software to the Derivation of Numerical Integration Rules for Singular and Hypersingular Integrals -- Numerical Integration Error Analysis -- Remainder Estimates for
Analytic Functions -- Error Bounds Based on Approximation Theory -- One Sided L1-Approximation and Bounds for Peano Kernels -- An Algebraic Study of the Levin Transformation in Numerical Integration -- Numerical Integration
Applications -- Developments in Solving Integral Equations Numerically -- Numerical Integration of Singular and Hypersingular Integrals in Boundary Element Methods -- On Handling Singularities in Finite Elements -- A Robust Numerical
Integration Method for 3-D Boundary Element Analysis and its Error Analysis using Complex Function Theory -- On the Numerical Calculation of Multidimensional Integrals Appearing in the Theory of Underwater Acoustics -- Statistics
Applications of Subregion Adaptive Multiple Numerical Integration -- The Sinc Indefinite Integration and Initial Value Problems -- Numerical Integration Algorithms and Software -- Software for Integration over Triangles and General
Simplices -- An Algorithm for Automatic Integration of Certain Singular Functions over a Triangle -- CUBPACK: Progress Report -- Parallel Cubature on Loosely Coupled Systems -- Transformation of Integrands for Lattice Rules -- DQAINT:
An Algorithm for Adaptive Quadrature over a Collection of Finite Intervals -- A Note on Variable Knot, Variable Order Composite Quadrature for Integrands with Power Singularities -- Computation of Oscillatory Infinite Integrals by
Extrapolation Methods -- Appendix: Final Program -- List of Participants -- List of Contributors
ISBN:9789401126465
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 357
Keywords: Computer science , Numerical analysis , Computer mathematics , Algorithms , Computer Science , Numeric Computing , Computational Mathematics and Numerical Analysis , Algorithms
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Call number:SPRINGER-1992-9780585332475:ONLINE Show nearby items on shelf
Title:Algorithms for Computer Algebra
Author(s): K. O Geddes
Date:1992
Size:1 online resource (586 p.)
Note:10.1007/b102438
Contents:to Computer Algebra -- Algebra of Polynomials, Rational Functions, and Power Series -- Normal Forms and Algebraic Representations -- Arithmetic of Polynomials, Rational Functions, and Power Series -- Homomorphisms and Chinese
Remainder Algorithms -- Newton’s Iteration and the Hensel Construction -- Polynomial GCD Computation -- Polynomial Factorization -- Solving Systems of Equations -- Gröbner Bases for Polynomial Ideals -- Integration of Rational
Functions -- The Risch Integration Algorithm
ISBN:9780585332475
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Numerical analysis , Computer science , Image processing , Algebra , Computer software , Mathematics , Mathematical Software , Image Processing and Computer Vision , Algebra , Symbolic and Algebraic Manipulation , Numeric Computing , Computer Science, general
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Call number:SPRINGER-1991-9789401711166:ONLINE Show nearby items on shelf
Title:Computational Methods for General Sparse Matrices
Author(s): Zahari Zlatev
Date:1991
Size:1 online resource (328 p.)
Note:10.1007/978-94-017-1116-6
Contents:1. Exploiting Sparsity -- 2. Storage Schemes -- 3. General Scheme for Linear Algebraic Problems -- 4. Pivotal Strategies for Gaussian Elimination -- 5. Use of Iterative Refinement in the GE Process -- 6. Implementation of the
Algorithms -- 7. Solving Least Squares Problems by Augmentation -- 8. Sparse Matrix Technique for Ordinary Differential Equations -- 9. Condition Number Estimators in a Sparse Matrix Software -- 10. Parallel Direct Solvers -- 11
Parallel Orthomin for General Sparse Matrices -- 12. Orthogonalization Methods -- 13. Two Storage Schemes for Givens Plane Rotations -- 14. Pivotal Strategies for Givens Plane Rotations -- 15. Iterative Refinement after the Plane
Rotations -- 16. Preconditioned Conjugate Gradients for Givens Plane Rotations -- References -- Author Index
ISBN:9789401711166
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 65
Keywords: Computer science , Computers , Numerical analysis , Matrix theory , Algebra , Partial differential equations , Computer Science , Numeric Computing , Theory of Computation , Linear and Multilinear Algebras, Matrix Theory , Partial Differential Equations
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Call number:SPRINGER-1991-9789401135023:ONLINE Show nearby items on shelf
Title:Computer Algebra with LISP and REDUCE An Introduction to Computer-aided Pure Mathematics
Author(s): F Brackx
Date:1991
Size:1 online resource (264 p.)
Note:10.1007/978-94-011-3502-3
Contents:1 Introduction -- 2 Standard LISP and RLISP -- 3 REDUCE algebraic mode -- 4 Applications -- 5 A package for three-dimensional euclidean geometry
ISBN:9789401135023
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 72
Keywords: Computer science , Programming languages (Electronic computers) , Numerical analysis , Computer science , Artificial intelligence , Computer Science , Symbolic and Algebraic Manipulation , Programming Languages, Compilers, Interpreters , Artificial Intelligence (incl. Robotics) , Numeric Computing
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Call number:SPRINGER-1991-9789400919082:ONLINE Show nearby items on shelf
Title:Applied and Industrial Mathematics Venice - 1, 1989
Author(s):
Date:1991
Size:1 online resource (374 p.)
Note:10.1007/978-94-009-1908-2
Contents:I: Invited Papers -- - C. Cercignani, “Physical Problems and Rigorous Results in Kinetic Theory -- - A. Chorin, “Statistical Mechanics of Vortex Filaments” (abstract) -- - Feng Kang, “The Hamiltonian Way for Computing Hamiltonian
Dynamics” -- - C. W. Gear (with Fen-Lien Juang), “The Speed of Waveform Methods for ODEs” -- - J. B. Keller, “Diffusively Coupled Dynamical Systems” -- - P. D. Lax, “Deterministic Turbulence” (extended abstract) -- - J. L. Lions,
“Exact Controllability for Distributed Systems. Some Trends and Some Problems” -- - V. P. Maslov, “Beginning of Weakly Anisotropic Turbulence” -- - S. K. Mitter, “Markov Random Fields, Stochastic Quantization and Image Analysis” -- -
H. Neunzert (with F. Gropengießer and J. Struckmeier),. “Computational Methods for the Boltzmann equation” -- - J. R. Ockendon, “A Class of Moving Boundary Problems Arising in Industry” -- - M. Primicerio, “Systems with Non-Fading
Memory Encountered in the Modellization of Industrial Problems” -- - M. Pulvirenti, “A Stochastic Particle System Modelling the Broadwell Equation” -- -A. Quarteroni “(with A. Valli), “Theory and Application of Steklov-Poincare
Operators for Boundary-Value Problems” -- - S. Rionero (with B. Straughan), “On the Problem of Natural Convection” -- II: Selected Contributed Papers -- 1. Mathematical Modelling in Fluid Mechanics -- - J. A. Nohel, “Non-Newtonian
Phenomena in Shear Flow” -- - O. Pironneau (with C. Bernardi, M. O. Bristeau and M. G. Vallet), “Numerical Analysis for Compressible Viscous Isothermal Stationary Flows” -- - E. G. Virga (with D. Roccato), “Drops of Nematic Liquid
Crystal Floating on a Fluid” -- 2. Nonlinear waves -- - S. Venakides, “The Korteweg-de Vries Equation with Small Dispersion: Higher Order Lax-Levermore Theory” -- - P. L. Christiansen, “Solitons in Optical Fibres” -- 3. Wave
Propagation in Random Media -- - R. Burridge, “Waves in Finely Layered Media” -- - B. S. White (with Balan Nair), “Stochastic Geometry and the Intensity of Random Waves” -- - V. I. Klyatskin, “Plane Waves in Layered Random Media. The
Role of Boundary Conditions” -- 4. Transport Phenomena -- - P. A. Markowich (with A. Arnold), “Quantum Transport Models for Semiconductors” -- - G. C. Pomraning, “Particle Transport in Random Media” -- 5. Inverse Problems in the
Applied Sciences -- - G. Alessandrini, “Determining Conductivity by Boundary Measurements, the Stability Issue” -- - G. Caviglia (with A. Morro), “Scattering Problems for Acoustic Waves” -- - W.L. Dunn (with A. M. Yacout and F.
O’Foghludha), “The Use of Single-Scatter Models in Medical Radiation Applications” -- 6. Mathematical Modelling of Industrial Problems -- - Li Tatsien (with Tan Yongji, Pen Yuejun and Li Hailong)“Mathematical Methods for the SP
Well-Logging” -- - C.D. Hill (with P. Susskind and V. Giambalvo), “Effective Computation of the Symmetric Lens” -- - L. Brusa, “Mathematical Modelling of Structural Industrial Problems: Methodologies and Algorithms” -- Author Index
ISBN:9789400919082
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 56
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Mathematical models , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Analysis , Appl.Mathematics/Computational Methods of Engineering , Numeric Computing
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Call number:SPRINGER-1990-9789401134248:ONLINE Show nearby items on shelf
Title:Topics in Computational Algebra
Author(s):
Date:1990
Size:1 online resource (261 p.)
Note:10.1007/978-94-011-3424-8
Contents:Branching Functions for Winding Subalgebras and Tensor Products -- Computing with Characters of Finite Groups -- Some Remarks on the Computation of Complements and Normalizers in Soluble Groups -- Methods for Computing in Algebraic
Geometry and Commutative Algebra -- Combinatorial Algorithms for the Expansion of Various Products of Schur Functions -- Polynomial Identities for 2 x 2 Matrices -- Cayley Factorization and a Straightening Algorithm -- The
Nagata-Higman Theorem -- Supersymmetric Bracket Algebra and Invariant Theory -- Aspects of Characteristic-Free Representation Theory of GLn, and Some Applications to Intertwining Numbers
ISBN:9789401134248
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Numerical analysis , Algebra , Combinatorics , Mathematics , Algebra , Combinatorics , Numeric Computing
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Call number:SPRINGER-1990-9789400905191:ONLINE Show nearby items on shelf
Title:The Numerical Modelling of Nonlinear Stellar Pulsations Problems and Prospects
Author(s):
Date:1990
Size:1 online resource (384 p.)
Note:10.1007/978-94-009-0519-1
Contents:The Modelling of Nonlinear Stellar Pulsations -- Current Numerical Techniques for Pulsation -- The Numerical Calculation of Stellar Pulsation: A Review of Methods and Results -- Multiperiodic Stellar Oscillations -- Numerical
Sensitivity of Nonlinear Stellar Pulsation Computations -- Time Dependent Convection in Stellar Pulsation -- Regular and Chaotic Pulsations of Convective Cepheid Envelopes -- Regular and Irregular Pulsations -- Resonances and
Bifurcations -- Dynamical Phenomena in Pulsating Star Atmospheres -- Reminiscence of a Stellar Pulsation Theorist -- Modern Numerical Methods Applicable to Stellar Pulsation -- Numerical Methodologies for Solving Partial Differential
Equations -- From Artificial Viscosity to ENO Schemes -- High Order Accurate Modern Numerical Methods Applicable to Stellar Pulsations -- Smooth Particle Hydrodynamics: A Review -- Simple Adaptive Grids for Astrophysical Problems --
Bifurcations in Non Oscillating Stars -- Experiments with Artificial Viscosity -- Toward a Generalized Riemann Problem for Pulsation -- Discrete Map Simulation of Stellar Oscillations
ISBN:9789400905191
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 302
Keywords: Physics , Numerical analysis , Continuum physics , Astrophysics , Physics , Astrophysics and Astroparticles , Numeric Computing , Classical Continuum Physics
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Call number:SPRINGER-1989-9789400923294:ONLINE Show nearby items on shelf
Title:Numerical Determination of the Electronic Structure of Atoms, Diatomic and Polyatomic Molecules
Author(s):
Date:1989
Size:1 online resource (360 p.)
Note:10.1007/978-94-009-2329-4
Contents:Main Lectures -- Basic Mathematical Properties of Electronic Wave Functions in Configuration Space -- Basic Mathematical Properties of Electronic Wave Functions in Momentum Space -- The Analytical Structure of Atomic and Molecular
Wavefunctions and its Impact on the Rate of Convergence of Variational Calculations -- Stochastic Methods in Quantum Mechanic -- Computational Strategies and New Applications in Green’s Function Monte Carlo -- Numerical Determination
of non-Relativistic and Relativistic Pair Correlation -- Fully Numerical Calculations for Diatomic Systems -- Very Accurate Calculations for Diatomic, Neutral and Anionic Systems with Numerical Orbitals -- The Development of an
Efficient Numerical Orbital Algorithm for Polyatomic Systems: A Review of the Various Options -- Electronic Structure Theory in Momentum Space -- Short Contributions -- Should Numerical Orbital Calculations be done with Basis Sets? --
Quantum Chemistry by Random Walk: High Accuracy for Large Molecules -- Prolate Spheroidal Wavefunctions -- Error Estimate in Variational Calculations of Eigenvalues and Eigenvectors -- A Momentum Space Approach to Improve ab initio
Hartree-Fock Results Based on the LCAO-GTF Approximation -- Isotope Shift MCHF Calculations in Strontium -- Finite Element Method for the Accurate Solution of Diatomic Molecules -- Momentum Space Coordinate Transformations and their
use in Numerical Orbital Calculations -- Møller-Plesset Calculations with Explicitly Correlated Wave Functions -- On the Coulomb Sturmian Basis -- An Analytical L2 Method for Continuum and Autoionizing States -- Application of the
Two-dimensional Fully-Numerical RHF Method to Open-Shell Hydrides -- Interpolation of Numerical Orbitals in Momentum Space -- On the Accuracy of the Algebraic Approximation in Relativistic Electronic Structure Calculations -- Numerical
MCSCF in One and Two Dimensions -- Numerical Methods for Calculating Multicenter Integrals for Arbitrary Orbitals -- Nonlinear Sequence Transformations for the Efficient Evaluation of Auxiliary Functions for GTO Molecular Integrals --
Concluding Remarks -- List of Participants
ISBN:9789400923294
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 271
Keywords: Chemistry , Physical chemistry , Numerical analysis , Atoms , Physics , Chemistry , Physical Chemistry , Atomic, Molecular, Optical and Plasma Physics , Numeric Computing
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Call number:SPRINGER-1989-9789400922433:ONLINE Show nearby items on shelf
Title:Random Processes for Classical Equations of Mathematical Physics
Author(s): S. M Ermakov
Date:1989
Size:1 online resource (282 p.)
Note:10.1007/978-94-009-2243-3
Contents:1. Markov Processes and Integral Equations -- 1.1. Breaking-off Markov chains and linear integral equations -- 1.2. Markov processes with continuous time and linear evolutionary equations -- 1.3. Convergent Markov chains and some
boundary values problems -- 1.4. Markov chains and nonlinear integral equations -- 2. First Boundary Value Problem for the Equation of the Elliptic Type -- 2.1. Statement of the problem and notation -- 2.2. Green formula and the mean
value theorem -- 2.3. Construction of a random process and an algorithm for the solution of the problem -- 2.4. Methods for simulation of a Markov chain -- 2.5. Estimation of the variance of a random variable ??? -- 3. Equations with
Polynomial Nonlinearity -- 3.1. Preliminary examples and notation -- 3.2. Representation of solutions of integral equations with polynomial nonlinearity -- 3.3. Definition of probability measures and the simplest estimators -- 3.4.
Probabilistic solution of nonlinear equations on measures -- 4. Probabilistic Solution of Some Kinetic Equations -- 4.1. Deterministic motion of particles -- 4.2. Computational aspects of the simulation of a collision process -- 4.3.
Random trajectories of particles. The construction of the basic process -- 4.4. Collision processes -- 4.5. Auxiliary results -- 4.6. Lemmas on certain integral equations -- 4.7. Uniqueness of the solution of the (X, T?, H) equation --
4.8. Probabilistic solution of the interior boundary value problem for the regularized Boltzmann equation -- 4.9. Estimation of the computational labour requirements -- 5. Various Boundary Value Problems Related to the Laplace Operator
-- 5.1. Parabolic means and a solution of the mixed problem for the heat equation -- 5.2. Exterior Dirichlet problem for the Laplace equation -- 5.3. Solution of the Neumann problem -- 5.4. Branching random walks on spheres and the
Dirichlet problem for the equation ?u = u2 -- 5.5. Special method for the solution of the Dirichlet problem for the Helmholtz equation -- 5.6. Probabilistic solution of the wave equation in the case of an infinitely differentiable
solution -- 5.7. Another approach to the solution of hyperbolic equations -- 5.8. Probabilistic representation of the solution of boundary value problems for an inhomogeneous telegraph equation -- 5.9. Cauchy problem for the
Schrödinger equation -- 6. Generalized Principal Value Integrals and Related Random Processes -- 6.1. Random processes related to linear equations -- 6.2. Nonlinear equations -- 6.3. On the representation of a solution of nonlinear
equations as a generalized principal value integral -- 6.4. Principal part of the operator and the Monte Carlo method -- 7. Interacting Diffusion Processes and Nonlinear Parabolic Equations -- 7.1. Propagation of chaos and the law of
large numbers -- 7.2. Interacting Markov processes and nonlinear equations. Heuristic considerations -- 7.3. Weakly interacting diffusions -- 7.4. Moderately interacting diffusions -- 7.5. On one method of numerical solution of systems
of stochastic differential equations -- Bibliographical Notes -- References -- Additional References
ISBN:9789400922433
Series:eBooks
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Series:Mathematics and its Applications (Soviet Series): 34
Keywords: Mathematics , Numerical analysis , Mathematical physics , Physics , Mathematics , Mathematical Physics , Numeric Computing , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1989-9789400909090:ONLINE Show nearby items on shelf
Title:Bayesian Approach to Global Optimization Theory and Applications
Author(s): Jonas Mockus
Date:1989
Size:1 online resource (270 p.)
Note:10.1007/978-94-009-0909-0
Contents:1 Global optimization and the Bayesian approach -- 1.1 What is global optimization? -- 1.2 Advantages of the Bayesian approach to global optimization -- 2 The conditions of Bayesian optimality -- 2.1 Introduction -- 2.2 Reduction to
dynamic programming equations -- 2.3 The existence of a measurable solution -- 2.4 The calculation of conditional expectations -- 2.5 The one-step approximation -- 2.6 The adaptive Bayesian approach -- 3 The axiomatic non-probabilistic
justification of Bayesian optimality conditions -- 3.1 Introduction -- 3.2 The linearity of the loss function -- 3.3 The existence of the unique a priori probability corresponding to subjective preferences -- 3.4 Optimal method under
uncertainty -- 3.5 Nonlinear loss functions -- 4 Stochastic models -- 4.1 Introduction -- 4.2 Sufficient convergence conditions -- 4.3 The Gaussian field -- 4.4 Homogeneous Wiener field -- 4.5 A case of noisy observations -- 4.6
Estimation of parameters from dependent observations -- 5 Bayesian methods for global optimization in the Gaussian case -- 5.1 The one-step approximation -- 5.2 Adaptive models -- 5.3 Extrapolation models -- 5.4 Maximum likelihood
models -- 5.5 The comparison of algorithms -- 5.6 The Bayesian approach to global optimization with linear constraints -- 5.7 The Bayesian approach to global optimization with nonlinear constraints -- 5.8 The Bayesian approach to
multi-objective optimization -- 5.9 Interactive procedures and the Bayesian approach to global optimization -- 5.10 The reduction of multi-dimensional data -- 5.11 The stopping rules -- 6 The analysis of structure and the
simplification of the optimization problems -- 6.1 Introduction -- 6.2 Structural characteristics and the optimization problem -- 6.3 The estimation of structural characteristics -- 6.4 The estimation of a simplification error -- 6.5
Examples of the estimates -- 7 The Bayesian approach to local optimization -- 7.1 Introduction -- 7.2 The one-dimensional Bayesian model -- 7.3 Convergence of the local Bayesian algorithm -- 7.4 Generalization of a multi-dimensional
case -- 7.5 Convergence in the multi-dimensional case -- 7.6 The local Bayesian algorithm -- 7.7 Results of computer simulation -- 8 The application of Bayesian methods -- 8.1 Introduction -- 8.2 The optimization of an electricity
meter -- 8.3 The optimization of vibromotors -- 8.4 The optimization of a shock-absorber -- 8.5 The optimization of a magnetic beam deflection system -- 8.6 The optimization of small aperture coupling between a rectangular waveguide
and a microstrip line -- 8.7 The maximization of LSI yield by optimization of parameters of differential amplifier functional blocks -- 8.8 Optimization of technology to avoid waste in the wet-etching of printed circuit boards in
iron-copper-chloride solutions -- 8.9 The optimization of pigment compounds -- 8.10 The least square estimation of electrochemical adsorption using observations of the magnitude of electrode impedance -- 8.11 Estimation of parameters
of the immunological model -- 8.12 The optimization of nonstationary queuing systems -- 8.13 The analysis of structure of the Steiner problem -- 8.14 The estimation of decision making by intuition on the example of the Steiner problem
-- 9 Portable FORTRAN software for global optimization -- 9.1 Introduction -- 9.2 Parameters -- 9.3 Methods available -- 9.4 Common blocks -- 9.5 The function -- 9.6 The main program -- 9.7 The example of the main program -- 9.8
Description of routines -- 9.9 BAYES1, the global Bayesian method by Mockus -- 9.10 UNT, the global method of extrapolation type by Zilinskas -- 9.11 LPMIN, the global method of uniform search by Sobolj, Shaltenis and Dzemyda -- 9.12
GLOPT, the global method of clustering type by Törn -- 9.13 MIG1, the global method of Monte Carlo (uniform random search) -- 9.14 MIG2, the modified version of MIG 1 -- 9.15 EXTR, the global one-dimensional method by Zilinskas -- 9.16
MIVAR4, the local method of variable metrics by Tieshis -- 9.17 REQP, the local method of recursive quadratic programming by Biggs -- 9.18 FLEXI, the local simplex method by Nelder and Mead -- 9.19 LBAYES, the local Bayesian method by
Mockus -- 9.20 ANAL1, the method of analysis by structure by Shaltenis -- 9.21 Portability routines -- References -- Appendix 1 The software for global optimization for IMB/PC/XT/AT and compatibles -- Appendix 2 How the global
optimization software can improve the performance of your CAD system -- Appendix 3 Machine dependent constants of portable FORTRAN
ISBN:9789400909090
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications, Soviet Series: 37
Keywords: Computer science , Computers , Numerical analysis , Operations research , Management science , Computer Science , Numeric Computing , Operations Research, Management Science , Theory of Computation
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Call number:SPRINGER-1988-9781468470741:ONLINE Show nearby items on shelf
Title:Mathematical Aspects of Scientific Software
Author(s):
Date:1988
Size:1 online resource (208 p.)
Note:10.1007/978-1-4684-7074-1
Contents:Mathematical Aspects of Scientific Software -- The Mapping Problem in Parallel Computation -- Applications of Gröbner Bases in Non-linear Computational Geometry -- Geometry in Design: The Bézier Method -- Algebraic Curves --
Performance of Scientific Software -- Scratchpad II: An Abstract Datatype System for Mathematical Computation -- Data Parallel Programming and Basic Linear Algebra Subroutines -- Integrating Symbolic, Numeric and Graphics Computing
Techniques
ISBN:9781468470741
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The IMA Volumes in Mathematics and Its Applications: 14
Keywords: Mathematics , Mathematical logic , Mathematics , Mathematical Logic and Foundations
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Call number:SPRINGER-1987-9789400938892:ONLINE Show nearby items on shelf
Title:Numerical Integration Recent Developments, Software and Applications
Author(s):
Date:1987
Size:1 online resource (394 p.)
Note:10.1007/978-94-009-3889-2
Contents:Theoretical Aspects of One-Dimensional Quadrature -- The convergence of noninterpolatory product integration rules -- Some quadrature rules for finite trigonometric and related integrals -- Modified Clenshaw-Curtis integration and
applications to numerical computation of integral transforms -- Fast generation of quadrature rules with some special properties -- Quadrature methods for the determination of zeros of transcendental functions - a review -- Computation
of the index of an analytic function -- Approximate computation of strongly oscillatory integrals with compound precision -- Bounds and approximations for the zeros of classical orthogonal polynomials. Their use in generating
quadrature rules. -- Indefinite integration formulas based on the sinc expansion -- On positive quadrature rules -- Quadrature rules with end-point corrections - comments on a paper by Garloff, Solak and Szydelko -- Comparison of
Gauss-Hermite and midpoint quadrature with application to the Voigt function -- Theoretical Aspects of Multiple Quadrature -- On sequences of imbedded integration rules -- Asymptotic expansions and their applications in numerical
integration -- Construction of three-dimensional cubature formulae with points on regular and semi-regular polytopes -- Construction of sequences of embedded cubature formulae for circular symmetric planar regions -- On the
construction of higher degree three dimensional embedded integration rules -- Fully symmetric integration rules for the unit four-cube -- On the construction of cubature formulae with few nodes using Groebner bases -- Quasi-random
sequences for optimization and numerical integration -- Non-fortuitous, non-product, non-fully symmetric cubature structures -- Algorithms, Software and Applications -- A parallelization of adaptive integration methods -- The numerical
evaluation of multiple integrals on parallel computers -- Vectorisation of one dimensional quadrature codes -- Performance of self-validating adaptive quadrature -- Using weight functions in self-validating quadrature -- On the
construction of a practical Ermakov-Zolotukhin multiple integrator -- Interactive numerical quadrature -- The design of a generic quadrature library in Ada -- The integration of the multivariate normal density function for the
triangular method -- Numerical integration in scalar wave scattering, with application to acoustic scattering by fish -- Software Classification and Testing -- Testing multiple integrators -- A package for testing multiple integration
subroutines -- A test of some well known one dimensional general purpose automatic quadrature routines -- Development of useful quadrature software, with particular emphasis on microcomputers -- Appendix I: Final Program -- Appendix
II: Discussion -- List of Participants -- List of Contributors
ISBN:9789400938892
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 203
Keywords: Computer science , Microprocessors , Computers , Numerical analysis , Computer Science , Theory of Computation , Processor Architectures , Numeric Computing
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Call number:SPRINGER-1986-9789400952270:ONLINE Show nearby items on shelf
Title:Wave Propagation An Invariant Imbedding Approach
Author(s): Richard Bellman
Date:1986
Size:1 online resource (367 p.)
Note:10.1007/978-94-009-5227-0
Contents:1 / Introduction -- 1. Introduction -- 2. Propagation of a Plane Electromagnetic Wave in a Stratified Medium -- 3. Basic Differential Equations of the Electromagnetic Field -- 4. Propagation of E.M. Waves through Multilayers -- 5. The
Schrödinger Equation -- 6. The Rectangular Potential Barrier -- 7. The JWKB Solutions -- References -- II / Eikonal Equation and the WKB Approximation -- 1. Introduction -- 2. The Eikonal Expansion -- 3. Derivation of the Solution of
the Schrödinger Equation using Matrix Methods -- 4. Asymptotic Behavior of the Solutions -- References -- III / Invariant Imbedding -- 1. Introduction -- 2. Invariant Imbedding Method -- 3. The Classical Approach -- 4. The Invariant
Imbedding Approach for Particle Transport -- 5. Riccati Transformations -- 6. Linearization and Solution of the Riccati Equations -- 7. Conservation Relations -- 8. Scattering Matrix Formalism -- 9. Homogeneous Anisotropic Media
Forming an Obstacle -- References -- IV / Application to the Wave Equation -- 1. Introduction -- 2. A Continuous Medium Problem -- 3. Bremmer Solutions -- 4. Coupled Differential and Integral Equations for the Two Beams -- 5.
Convergence Properties of the Series Solutions -- 6. Bremmer Series Using Finite Order Scattering Reflection and Transmission Functions -- 7. Wave Equations with a Source Term -- References -- V / The Bremmer Series -- 1. Introduction
-- 2. A New Type of Refractive Index Profile in Each Layer and the Reflection and Transmission Coefficients -- 3. Splitting of the Wave Function -- 4. Extensions to Other Types of Series -- References -- VI / Generalizations -- 1.
Introduction -- 2. Method of Successive Diagonalization -- 3. Approximation to the Eikonal Solution Using Quasilinearization -- References -- VII / Time Dependent Processes -- 1. Introduction -- 2. Time Dependent Transport Problems --
3. Transport Equation in the Limit of Large Velocities and Large ? -- 4. The Eigenvalue Problems -- 5. Eigenvalue Problems of Sturm-Liouville Systems -- 6. Time Dependent Wave Equation -- 7. Wiener Integrals -- References -- VIII /
Asymptotic Properties -- 1. Introduction -- 2. Asymptotic Behavior of the Solutions of the Schrödinger Equation -- 3. The Phase Approach -- 4. Integral Equation Representation -- References -- IX / Operator Techniques -- 1.
Introduction -- 2. The Baker-Campbell-Hausdorff Series -- 3. The Magnus Expansion -- 4. Higher Dimensional Wave Equations -- 5. Multidimensional Imbedding -- 6. Higher Order Equations -- References -- X / Variational Principles -- 1.
Introduction -- 2. Bubnov-Galerkin Method -- 3. The Rayleigh-Ritz Method -- 4. Sturm-Liouville Theory -- 5. Rayleigh-Ritz Method and Physical Processes -- 6. The Maximum Functional -- 7. Dynamic Programming Method -- References -- XI /
Dynamic Programming and Solution of Wave Equations -- 1. Introduction -- 2. Properties of the Green’s Function -- 3. The Sturm Oscillation Theorem and Unimodal Properties -- 4. Characteristic Values and Characteristic Functions -- 5.
Determination of Characteristic Values of the Sturm-Liouville Equation -- 6. Another Type of Cauchy System for the Green’s Function and the Solution of Two Point Boundary Value Problem -- 7. Fredholm Resolvent -- 8. The Riccati
Equation -- 9. Quasilinearization -- 10. The Cross-Ratio Relations -- 11. Matrix Riccati Equation and Auxiliary Functions -- References -- XII / Approximations -- 1. Introduction -- 2. Quadrature -- 3. Differential Quadrature -- 4.
Determination of Weighting Coefficients -- 5. Higher Order Problems -- 6. Spline Approximation -- 7. Approximate Solutions -- 8. Segmental Curve Fitting -- 9. Dynamic Programming Approach -- 10. Splines Via Dynamic Programming -- 11.
Derivation of Spline by Dynamic Programming -- 12. Equivalence of the Recursion Relations Obtained by Dynamic Programming and the Usual Results -- References -- Exercises and Notes -- Index of Names -- Index of Subjects
ISBN:9789400952270
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematics and Its Applications : 17
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Physics , Mathematics , Analysis , Theoretical, Mathematical and Computational Physics , Numeric Computing
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Call number:SPRINGER-1985-9789400954120:ONLINE Show nearby items on shelf
Title:Numerical Solutions of the N-Body Problem
Author(s): Andrzej Marciniak
Date:1985
Size:1 online resource (242 p.)
Note:10.1007/978-94-009-5412-0
Contents:1. Conventional Numerical Methods For Solving The Initial Value Problem -- 1.1. The Initial Value Problem -- 1.2. Discretization Methods -- 1.3. Survey of Numerical Methods for the Initial Value Problem -- 2. The General N-Body
Problem -- 2.1. Equations of Motion -- 2.2. The Application of Conventional Numerical Methods -- 2.3. Discrete Mechanics of Greenspan -- 2.4. Discrete Mechanics of Arbitrary Order -- 2.5. Energy Conserving Methods -- 3. The Relative
Motion Of N Bodies -- 3.1. Equations of Motion -- 3.2. The Application of Conventional Numerical Methods -- 3.3. The Application of Discrete Mechanics Formulas -- 4. Equations Of Motion In A Rotating Frame -- 4.1. Equations of Motion
-- 4.2. The Application of Conventional Numerical Methods -- 4.3. Discrete Mechanics in a Rotating Frame -- 4.4. A Motion nearby the Equilibrium Points -- 4.5. Discrete Hill’s Equations -- Appendix. PL/I Procedures -- References
ISBN:9789400954120
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (East European Series): 19
Keywords: Computer science , Numerical analysis , Computer Science , Numeric Computing
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Call number:SPRINGER-1983-9789400971219:ONLINE Show nearby items on shelf
Title:Computational Aspects of Complex Analysis Proceedings of the NATO Advanced Study Institute held at Braunlage, Harz, Germany, July 26 – August 6, 1982
Author(s):
Date:1983
Size:1 online resource (440 p.)
Note:10.1007/978-94-009-7121-9
Contents:Outlines of Padé Approximation -- Numerical Methods in Conformal Mapping -- On Complex Rational Approximation Part I: The Characterization Problem -- On Complex Rational Approximation Part II: The Carathéodory-Fejér Method -- Topics
in Computational Complex Analysis I. Methods of Descent for Polynomial Equations -- Topics in Computational Complex Analysis II. New Developments Concerning the Quotient-Difference Algorithm -- Topics in Computational Complex analysis
III. The Asymptotic Behavior of Best Approximations to Analytic Functions on the Unit Disk -- Topics in Computational Complex analysis IV. The Lagrange-Bürmann Formula for Systems of Formal Power Series -- A Simplified Presentation of
the Adamjan-Arov-Krein Approximation Theory -- Fast Fourier Transform Algorithms with Applications -- Error Analysis of Complex Arithmetic -- The Use of Green’s Boundary Formula in Potential Theory -- Chebyshev Approximation on the
Unit Disk -- Calculations of Singularities for Solutions of Algebraic Differential Equations -- On the Use of a Class of Algebraic Mappings Techniques for Some Problems in Complex Analysis -- Computer Algebra and Complex Analysis --
Short Communications -- List of Participants
ISBN:9789400971219
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences: 102
Keywords: Computer science , Numerical analysis , Physics , Computer Science , Numeric Computing , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1983-9781475739404:ONLINE Show nearby items on shelf
Title:Introduction to Numerical Computation in Pascal
Author(s): P. M Dew
Date:1983
Size:1 online resource (291 p.)
Note:10.1007/978-1-4757-3940-4
Contents:1 Fundamental Techniques -- 1 Programming in Pascal -- 2 Principles of Mathematical Software -- 3 Basic Mathematics and Applications -- 4 Real Numbers, Machine Numbers and Errors -- 2 Development of Mathematical Software -- 5 Solution
of Non-linear Equations in One Variable: Newton’s Method -- 6 Solution of Non-linear Equations in One Variable: Interval Methods -- 7 Systems of Linear Equations -- 8 Numerical Integration: Fixed-point Rules -- 9 Numerical Integration:
Adaptive Methods -- Appendix A: Predeclared Mathematical Functions in Pascal -- Appendix B: Summary of the mathlib Library -- Appendix C: The Utility Functions powerr, poweri and roundt -- Appendix D: Notes on Portability -- Solutions
to Exercises -- References
ISBN:9781475739404
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Computer science , Numerical analysis , Applied mathematics , Engineering mathematics , Mathematics , Applications of Mathematics , Computer Science, general , Mathematics of Computing , Numeric Computing
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Call number:SPRINGER-1979-9789401095020:ONLINE Show nearby items on shelf
Title:Mechanics
Author(s): W Chester
Date:1979
Size:1 online resource (400 p.)
Note:10.1007/978-94-010-9502-0
Contents:1. Vectors -- 1.1 Introduction -- 1.2 Definitions -- 1.3 The Rules of Vector Algebra -- 1.4 The Resolution of a Vector -- 1.5 The Products of Vectors -- 1.6 The Derivative of a Vector -- 1.7 The Integral of a Vector -- 1.8 Scalar and
Vector Fields -- 1.9 Line Integrals -- 1.10 The Gradient Operator -- 1.11 Equipotentials and Field Lines -- Exercises -- 2. Kinematics -- 2.1 Introduction -- 2.2 Velocity and Acceleration -- 2.3 Constant Acceleration -- 2.4 Projectiles
-- 2.5 Dimensions -- Exercises -- 3. Dynamics -- 3.1 Newton’s Laws -- 3.2 Units -- 3.3 Applications -- Exercises -- 4. Resisting Forces -- 4.1 Solid Friction -- 4.2 Motion through a Fluid -- Exercises -- 5. Impulse, Momentum, Work and
Energy -- 5.1 Impulse and Momentum -- 5.2 Work and Energy -- 5.3 Potential Energy -- 5.4 Power -- Exercises -- 6. Oscillations -- 6.1 Simple Harmonic Oscillations -- 6.2 Damped Oscillations -- 6.3 Forced Oscillations -- 6.4 Coupled
Oscillations -- 6.5 Non-Linear Oscillations -- Exercises -- 7. Central Forces -- 7.1 Basic Equations -- 7.2 Conservative Forces -- 7.3 Circular Orbits and Stability -- 7.4 Elliptic Harmonic Motion -- 7.5 The Inverse Square Law -- 7.6
Kepler’s Laws -- 7.7 The Effect of Resistance -- Exercises -- 8. Systems of Particles -- 8.1 Mass Centre -- 8.2 Equations of Motion -- 8.3 Collision Problems -- 8.4 Variable Mass Problems -- Exercises -- 9. Angular Vectors -- 9.1
Existence -- 9.2 Angular Velocity -- 9.3 Relative Angular Velocity -- 9.4 Rotating Axes -- 9.5 Axes on the Earth’s Surface -- Exercises -- 10. Moments -- 10.1 First Moment -- 10.2 Second Moment -- 10.3 Vector Moment -- 10.4 Parallel
Vectors -- 10.5 Reduction of a System of Line Vectors -- 10.6 Work of a System of Line Vectors -- Exercises -- 11. Rigid Bodies -- 11.1 Equations of Motion -- 11.2 Impulse and Momentum -- 11.3 Work and Energy -- 11.4 Oscillations --
11.5 Three-Dimensional Problems -- 11.6 Gyroscopic Problems -- Exercises -- 12. Virtual Work and Lagrange’s Equations -- 12.1 Virtual Work -- 12.2 Generalised Coordinates -- 12.3 Lagrange’s Equations -- 12.4 The Lagrangian and
Hamiltonian -- Exercises -- 13. Non-Linear Problems -- 13.1 Conservative Forces -- 13.2 Autonomous Forces -- 13.3 The Method of Averaging -- 13.4 Forced Non-Linear Oscillations -- Exercises
ISBN:9789401095020
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Numerical analysis , Continuum physics , Physics , Classical Continuum Physics , Theoretical, Mathematical and Computational Physics , Numeric Computing
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Call number:SPRINGER-1979-9789400994638:ONLINE Show nearby items on shelf
Title:Combinatorial Complexes A Mathematical Theory of Algorithms
Author(s): Peter H Sellers
Date:1979
Size:1 online resource (184 p.)
Note:10.1007/978-94-009-9463-8
Contents:0. Introduction -- 0.1. Finding Algorithms -- 0.2. Programs Represent Algorithms -- 0.3. Programming Languages -- 0.4. List-making Algorithms -- 0.5. The Theory in a Nutshell -- I. Programming -- I.1. To Make a List -- I.2. Elementary
Programming Languages -- I.3. To Specify a Program Inductively -- I.4. Graphical Programming Languages -- I.5. Chain Complexes -- I.6. Programming Complexes -- I.7. Complexes which are Not Free -- I.8. Language Isomorphisms -- I.9. To
Find an Algorithm -- II. Monomials -- II.1. The Language -- II.2. The Interpretation ? -- II.3. The Interpretation ? -- II.4. The Interpretation ? -- II.5. Language Isomorphisms -- II.6. A Program for Monomials -- II.7. Sample Programs
-- III. Factorizations -- III.1. The Language -- III.2. The Interpretation ? -- III.3. The Interpretation ? -- III.4. The Interpretation ? -- III.5. Language Isomorphisms -- III.6. A Program for Factorizations -- III.7. Sample Programs
-- IV. Transpositions -- IV.1. The Language -- IV.2. The Interpretation ? -- IV.3. The Interpretation ? -- IV.4. The Interpretation ? -- IV.5. Language Isomorphisms -- IV.6. A Program for Sequences -- IV.7. Sample Programs -- V.
Bracketings -- V.1. The Language -- V.2. The Interpretation ? -- V.3. The Interpretation ? -- V.4. The Interpretation ? -- V.5. Language Isomorphisms -- V.6. A Program for Bracketings -- V.7. Sample Programs -- VI. Clustering --
VI.1.The Language -- VI.2. The Interpretation ? -- VI.3. The Interpretation ? -- VI.4. The Interpretation ? -- VI.5. Language Isomorphisms -- VI.6. A Program of Clusterings -- VI.7. Sample Program -- Appendix. Flowcharts -- Flowchart
1. Elementary Languages -- Flowchart 2. Languages in General -- References
ISBN:9789400994638
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 2
Keywords: Computer science , Numerical analysis , Computer Science , Numeric Computing
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Call number:SPRINGER-1975-9789401018159:ONLINE Show nearby items on shelf
Title:Computational Techniques in Quantum Chemistry and Molecular Physics Proceedings of the NATO Advanced Study Institute held at Ramsau, Germany, 4–21 September, 1974
Author(s):
Date:1975
Size:1 online resource (568 p.)
Note:10.1007/978-94-010-1815-9
Contents:Fundamentals of Computational Quantum Chemistry -- Fundamentals of Computer Hard- and Software in Relation to Quantum Chemical Calculations -- The Logic of Self-Consistent-Field Procedures -- The Configuration Interaction Method --
Molecular Properties -- An Introduction to Molecular Integral Evaluation -- Correlated Wavefunctions -- Pair Functions and Diagrammatic Perturbation Theory -- Some Applications of Projection Operators -- Molecules in Astrophysics
ISBN:9789401018159
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences: 15
Keywords: Computer science , Numerical analysis , Physics , Computer Science , Numeric Computing , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1973-9789401026727:ONLINE Show nearby items on shelf
Title:Numerical Solution of Partial Differential Equations Proceedings of the NATO Advanced Study Institute held at Kjeller, Norway, August 20–24, 1973
Author(s):
Date:1973
Size:1 online resource (271 p.)
Note:10.1007/978-94-010-2672-7
Contents:Methods for Solution of Partial Differential Equations -- Variational Principles — A Survey -- Solution of Linear Systems of Equations -- Solution of Nonlinear Systems of Equations -- Element Types and Base Function -- Quadratic
Interpolating Splines: Theory and Applications -- Some Linear and Non-Linear Problems in Fluid Mechanics. FEM Formulation -- Application of Finite Element Methods to Stress Analysis -- Some Finite Difference Methods for Solution of
Heat Conduction Problems -- Finite Element Computer Programs for Heat Conduction Problems -- List of Participants
ISBN:9789401026727
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nato Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences: 2
Keywords: Computer science , Numerical analysis , Computer Science , Numeric Computing
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Call number:SPRINGER-1973-9789401025652:ONLINE Show nearby items on shelf
Title:Numerical Analysis
Author(s): Roger Temam
Date:1973
Size:1 online resource (180 p.)
Note:10.1007/978-94-010-2565-2
Contents:Approximate Solution of Functional Equations: General Remarks -- I.: Approximate Solution of Linear Elliptic Equations -- 1. The Projection Theorem -- 2. The Method of Galerkin -- 3. The Approximation of Normed Spaces -- 4.
Approximation of Linear Variational Problems -- 5. A Method for Computation of the Error -- 6. The Method of Fractionary Steps -- II: Applications -- 7. Spaces of Functions Associated with an Open Set in Rn -- 8. Approximation of Some
Function Spaces by Finite Differences (I) -- 9. Approximation of Some Function Spaces by Finite Differences (II) -- 10. Approximation of Some Function Spaces by Finite Element Methods -- 11. Example I: The Dirichlet Problem -- 12.
Example II: The Neumann Problem -- III: A Nonlinear Elliptic Equation -- 13. The Exact Problem -- 14. Approximate Problems -- Appendix: Topological Vector Spaces
ISBN:9789401025652
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Computer mathematics , Mathematics , Computational Mathematics and Numerical Analysis , Numeric Computing
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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