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SPIRES-BOOKS: FIND KEYWORD COMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS *END*INIT* use /tmp/qspiwww.webspi1/18598.12 QRY 131.225.70.96 . find keyword computational mathematics and numerical analysis ( in books using www Cover
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Call number:9783662532249:ONLINE Show nearby items on shelf
Title:Computational Multiscale Modeling of Fluids and Solids Theory and Applications
Author(s): Martin Oliver Steinhauser
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XXIII, 405 p. 139 illus., 34 illus. in color p.)
Contents:Part I Fundamentals -- Introduction -- Multiscale Computational Materials Science -- Mathematical and Physical Prerequisites -- Fundamentals of Numerical Simulation -- Part II Computational Methods on Multiscales -- Summary of Part I
-- Computational Methods on Electronic/Atomistic Scale -- Computational Methods on Atomistic/Microscopic Scale -- Computational Methods on Microscopic/Mesoscopic Scale -- Perspectives in Multiscale Materials Modeling -- Further Reading
-- Mathematical Definitions -- Sample code for the main routine of a MD simulation -- A Sample Makefile -- Tables of Physical Constants -- List of Algorithms -- Selected Solutions
ISBN:9783662532249
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Computer mathematics , Geophysics , Applied mathematics , Engineering mathematics , Materials science , Physics , Numerical and Computational Physics, Simulation , Characterization and Evaluation of Materials , Computational Mathematics and Numerical Analysis , Appl.Mathematics/Computational Methods of Engineering , Geophysics and Environmental Physics
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Call number:9783319516585:ONLINE Show nearby items on shelf
Title:Inverse Problems for Partial Differential Equations
Author(s): Victor Isakov
Date:2017
Edition:3rd ed. 2017
Size:1 online resource (XV, 406 p. 4 illus p.)
Contents:Inverse Problems -- Ill-Posed Problems and Regularization -- Uniqueness and Stability in the Cauchy Problem -- Elliptic Equations: Single Boundary Measurements -- Elliptic Equations: Many Boundary Measurements -- Scattering Problems
and Stationary Waves -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse Parabolic Problems -- Some Numerical Methods -- Appendix: Functional Spaces
ISBN:9783319516585
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Remote sensing , Partial differential equations , Computer mathematics , Physics , Mathematics , Partial Differential Equations , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics , Remote Sensing/Photogrammetry
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Call number:9783319474922:ONLINE Show nearby items on shelf
Title:Transport of Energetic Electrons in Solids Computer Simulation with Applications to Materials Analysis and Characterization
Author(s): Maurizio Dapor
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVIII, 182 p. 58 illus p.)
Contents:Electron Transport in Solids -- Cross-Sections: Basic Aspects -- Scattering Mechanisms -- Random Numbers -- Monte Carlo Strategies -- Backscattering Coefficient -- Secondary Electron Yield -- Electron Energy Distributions --
Applications
ISBN:9783319474922
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Solid state physics , Applied mathematics , Engineering mathematics , Materials science , Physics , Solid State Physics , Numerical and Computational Physics, Simulation , Characterization and Evaluation of Materials , Appl.Mathematics/Computational Methods of Engineering
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Call number:9783319446493:ONLINE Show nearby items on shelf
Title:The Lattice Boltzmann Method Principles and Practice
Author(s): Timm Krüger
Date:2017
Size:1 online resource (XXIV, 694 p. 126 illus p.)
Contents:Part I Background: Basics of hydrodynamics and kinetic theory -- Numerical methods for fluids -- Part II Lattice Boltzmann fundamentals: The lattice Boltzmann equation -- Analysis of the lattice Boltzmann equation -- Boundary and
initial conditions -- Forces -- Non-dimensionalisation and choice of simulation parameters -- Part III Lattice Boltzmann extensions, improvements, and details: Lattice-Boltzmann for advection-diffusion-problems -- Multiphase and
multi-component flows -- MRT and TRT collision operators -- Boundary conditions for fluid-structure interaction -- Sound waves -- Part IV Numerical implementation of the lattice Boltzmann method: Implementation of LB Simulations --
Appendices
ISBN:9783319446493
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , System theory , Computer mathematics , Fluids , Fluid mechanics , Physics , Numerical and Computational Physics, Simulation , Fluid- and Aerodynamics , Complex Systems , Engineering Fluid Dynamics , Computational Mathematics and Numerical Analysis , Statistical Physics and Dynamical Systems
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Call number:SPRINGER-2016-9788847057821:ONLINE Show nearby items on shelf
Title:Modellistica Numerica per Problemi Differenziali
Author(s): Alfio Quarteroni
Date:2016
Edition:6a edizione
Size:1 online resource (640 p.)
Note:10.1007/978-88-470-5782-1
Contents:1 Richiami sulle equazioni alle derivate parziali -- 2 Richiami di analisi funzionale -- 3 Equazioni di tipo ellittico -- 4 Il metodo di Galerkin-elementi finiti per problemi ellittici -- 5 Equazioni paraboliche -- 6 Generazione di griglie in 1D e 2D -- 7 Algoritmi di risoluzione di sistemi lineari -- 8 Cenni di programmazione degli elementi finiti -- 9 Il metodo dei volumi finiti -- 10 I metodi spettrali -- 11 Metodi con elementi discontinui -- 12 Equazioni di diffusione-trasporto-reazione -- 13 D ifferenze finite per equazioni iperboliche -- 14 Elementi finiti e metodi spettrali per equazioni iperboliche -- 15 Cenni a problemi iperbolici non lineari -- 16 Le equazioni di Navier-Stokes -- 17 Introduzione al controllo ottimale per equazioni a deriva te parziali -- 18 Il metodo di decomposizione dei domini
ISBN:9788847057821
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:UNITEXT: 97
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Computer mathematics , Numerical analysis , Mathematical models , Mathematics , Mathematics, general , Analysis , Numerical Analysis , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783658132347:ONLINE Show nearby items on shelf
Title:Analysis of Single-Cell Data ODE Constrained Mixture Modeling and Approximate Bayesian Computation
Author(s): Carolin Loos
Date:2016
Edition:1st ed. 2016
Size:1 online resource (92 p.)
Note:10.1007/978-3-658-13234-7
Contents:Modeling and Parameter Estimation for Single-Cell Data -- ODE Constrained Mixture Modeling for Multivariate Data -- Approximate Bayesian Computation Using Multivariate Statistics
ISBN:9783658132347
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Bioinformatics , Computational biology , Computer mathematics , Biomathematics , Mathematics , Mathematical and Computational Biology , Computational Mathematics and Numerical Analysis , Computer Appl. in Life Sciences
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Call number:SPRINGER-2016-9783319335070:ONLINE Show nearby items on shelf
Title:Monte Carlo and Quasi-Monte Carlo Methods MCQMC, Leuven, Belgium, April 2014
Author(s):
Date:2016
Size:1 online resource (57 p.)
Note:10.1007/978-3-319-33507-0
Contents:Part I Invited papers -- Multilevel Monte Carlo Implementation for SDEs driven by Truncated Stable Processes -- Construction of a Mean Square Error Adaptive Euler–Maruyama Method With Applications in Multilevel Monte Carlo -- Vandermonde Nets and Vandermonde Sequences -- Path Space Markov Chain Monte Carlo Methods in Computer Graphics -- Walsh Figure of Merit for Digital Nets: An Easy Measure for Higher Order Convergent QMC -- Some Results on the Complexity of Numerical Integration -- Approximate Bayesian Computation: A Survey on Recent Results -- Part II Contributed papers -- Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier–Stokes Equations -- Unbiased Simulation of Distributions with Explicitly Known Integral Transforms -- Central Limit Theorem for Adaptive Multilevel Splitting Estimators in an Idealized Setting -- Comparison between LS-Sequences and β -adic van der Corput Sequences -- Computational Higher Order Quasi-Monte Carlo Integration -- Numerical
Computation of Multivariate Normal Probabilities using Bivariate Conditioning -- Non-nested Adaptive Timesteps in Multilevel Monte Carlo Computations -- On ANOVA Decompositions of Kernels and Gaussian Random Field Paths -- The Mean Square Quasi-Mont e Carlo Error for Digitally Shifted Digital Nets -- Uncertainty and Robustness in Weather Derivative Models -- Reliable Adaptive Cubature Using Digital Sequences -- Optimal Point Sets for Quasi-Monte Carlo Integration of Bivariate Periodic Functions with Bounded Mixed Derivatives -- Adaptive Multidimensional Integration Based on Rank-1 Lattices -- Path Space Filtering -- Tractability of Multivariate Integration in Hybrid Function Spaces -- Derivative-based Global Sensitivity Measures and Their Link with S obol’ Sensitivity Indices -- Bernstein Numbers and Lower Bounds for the Monte Carlo Error -- A Note on the Importance of Weak Convergence Rates for SPDE Approximations in Multilevel Monte Carlo Schemes -- A Strategy for Parallel
Implementations of Stochastic Lagrangian Simulation -- A New Rejection Sampling Method for Truncated Multivariate Gaussian Random Variables Restricted to Convex Sets -- Van der Corput and Golden Ratio Sequences Along the Hilbert Space-Filling Curve -- Uniform Weak Tractability of Weighted Integration -- Incremental Greedy Algorithm and Its Applications in Numerical Integration -- On “Upper Error Bounds for Quadrature Formulas on Function Classes” by K K Frolov -- Tractability of Function Approxi mation With Product Kernels -- Discrepancy Estimates for Acceptance-Rejection Samplers Using Stratified Inputs -- List of Participants -- Index
ISBN:9783319335070
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 163
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Computer mathematics , Mathematics , Computational Mathematics and Numerical Analysis , Applications of Mathematics
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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-2016-9783319323770:ONLINE Show nearby items on shelf
Title:Pi: The Next Generation A Sourcebook on the Recent History of Pi and Its Computation
Author(s): David H Bailey
Date:2016
Size:1 online resource (507 p.)
Note:10.1007/978-3-319-32377-0
Contents:Foreword -- Preface -- Introduction -- Computation of pi using arithmetic-geometric mean -- Fast multiple-precision evaluation of elementary functions -- The arithmetic-geometric mean of Gauss -- The arithmetic-geometric mean and fast computation of elementary functions -- A simplified version of the fast algorithms of Brent and Salamin -- Is pi normal? -- The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm -- Gauss, Landen, Ramanujan, the arithmetic-g eometric mean, ellipses, pi, and the ladies diary -- Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation.-Ramanujan and pi -- 11. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi -- Pi, Euler numbers, and asymptotic expansions -- A spigot algorithm for the digits of pi -- On the rapid computation of various polylogarithmic constants -- Similarities in irrationality proofs for pi, ln 2, ζ(2),
and ζ(3) -- Unbounded spigot algorithms for the digits of pi -- Mathematics by experiment: Plausible reasoning in the 21st century -- Approximations to pi derived from integrals with nonnegative integrands -- Ramanujan's series for 1/π: A survey - - The computation of previously inaccessible digits of π2 and Catalan's constant -- Walking on real numbers -- Birth, growth and computation of pi to ten trillion digits -- Pi day is upon us again and we still do not know if pi is normal -- The Life of p i -- I prefer pi: A brief mathematical history and anthology of articles in the American Mathematical Monthly -- Bibliography -- Index
ISBN:9783319323770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer mathematics , History , Number theory , Mathematics , Computational Mathematics and Numerical Analysis , Number Theory , History of Mathematical Sciences
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Call number:SPRINGER-2016-9783319321448:ONLINE Show nearby items on shelf
Title:From Particle Systems to Partial Differential Equations III Particle Systems and PDEs III, Braga, Portugal, December 2014
Author(s):
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-319-32144-8
Contents:Convergence of Diffusion-Drift Many Particle Systems in Probability under a Sobolev Norm -- Global asymptotic stability of a general nonautonomous Cohen-Grossberg model with unbounded amplification functions -- Modelling of systems with a dispersed phase: “measuring” small sets in the presence of elliptic operators -- From market data to agent-based models and stochastic differential equations -- Entropy dissipation estimates for the Landau equation: General cross sections -- Phase transitions and coarse-graining for a system of particles in the continuum -- Sub–shock formation in reacting gas mixtures -- The gradient flow approach to hydrodynamic limits for the simple exclusion process -- The gradient flow approach to hydrodynamic limits f or the simple exclusion process -- Hydrodynamic limit of quantum random walks -- Derivation of the Boltzmann equation: hard spheres, short-range potentials and beyond -- Duality relations for the periodic ASEP conditioned on a low current --
Asymptotics for FBSDES with Jumps and Connections with Partial Integral Differential Equations -- The Boltzmann Equation over RD: Dispersion vs Dissipation
ISBN:9783319321448
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 162
Keywords: Mathematics , Functional analysis , Partial differential equations , Applied mathematics , Engineering mathematics , Probabilities , Physics , Mathematics , Functional Analysis , Partial Differential Equations , Applications of Mathematics , Probability Theory and Stochastic Processes , Numerical and Computational Physics
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Call number:SPRINGER-2016-9783319320137:ONLINE Show nearby items on shelf
Title:Trends in Differential Equations and Applications
Author(s):
Date:2016
Size:1 online resource (67 p.)
Note:10.1007/978-3-319-32013-7
Contents:1 M. J. Castro, J. M. Gallardo, A. Marquina: Approximate Osher-Solomon schemes for hyperbolic systems -- 2 G. Maicas, A.I. Muñoz, G. Galiano, A. Ben Hamza and E. Schiavi: Spectral shape analysis of the hippocampal structure for Alzheimer’s Diseas e diagnosis -- 3 P. Alonso, J.M. Peña, M.L. Serrano: Characterizations of M-banded ASSR matrices -- 4 E. Casas, K. Chrysafinos: A review of numerical analysis for the discretization of the velocity tracking problem -- 5 G. Castiñeira and J.M. Rodríguez : Asymptotic analysis of a viscous flow in a curved pipe with elastic walls -- 6 J. Mura and A. Caiazzo: A two-scale homogenization approach for the estimation of porosity in elastic media -- 7 J. M. Carnicer, Y. Khiar and J. M. Pena: A matrix approach to the Newton formula and divided differences -- 8 B. Climent-Ezquerra and F. Guillen-Gonzalez: Long-time behavior of a Cahn-Hilliard-Navier-Stokes vesicle-fluid interaction model -- 9 G. Viglialoro: Explicit blow-up time for two porous medium
problems with different reaction terms -- 10 A. Domínguez-Delgado, C. Domínguez-Torres and J. Iñesta-Vaquera: Numerical Assessment of the Energy Efficiency of an Open Joint Ventilated Facade for Typical Meteorological Months Data in Southern Spai n -- 11 E. Barrena, G. Laporte, F. A. Ortega, M. A. Pozo: Planning ecotourism routes in nature parks -- 12 M. Isabel García-Planas and M. Dolors Magret: Isometries of the Hamming space and equivalence relations of linear codes over a finite field -- 13 D aniela Giachetti, Pedro J. Martínez-Aparicio and François Murat: Advances in the study of singular semilinear elliptic problems -- 14 A. Baeza, P. Mulet, and D. Zorio: Weighted extrapolation techniques for finite difference methods on complex domains wi th Cartesian meshes -- 15 V. Domínguez and C. Turc: High order Nystrom methods for transmission problems for Helmholtz Equation -- 16 A. Algaba, N. Fuentes, C. García and M. Reyes: Algebraic inverse integrating factors for a class of generalized
nilpotent systems -- 17 R. Burger, F. Guerrero,M.C. Martı and P. Mulet: WENO schemes for multi-dimensional porous media flow without capillarity -- 18 L. Fan, P. Monk, and V. Selgas: Time dependent scattering in an acoustic waveguide via convolutio n quadrature and the Dirichlet-to-Neumann map -- 19 M. Albareda-Sambola, L. I. Martínez-Merino and A. M. Rodríguez-Chía: Location of emergency facilities with uncertainty in the demands -- 20 P. Díaz de Alba and G. Rodriguez: Regularized solution of a nonlinear problem in applied geophysics -- 21 A. Barreras and J.M. Peña: Total positivity: a new inequality and related classes of matrices -- 22 A. Ruiz and C. Muriel: Applications of C∞-symmetries in the construction of solvable structures -- 23 R. de la Rosa and M. S. Bruzón: Travelling wave solutions of a generalized variable-coefficient Gardner equation -- 24 Rodolfo Bermejo and Laura Saavedra: A second order local projection Lagrange-Galerkin method for Navier-Stokes equations at high
Reynolds numbers -- 25 F. Guillén-González and J. R. Rodrıguez-Galvan: Finite Element approximation of Hydrostatic Stokes Equations: Review and Tests
ISBN:9783319320137
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SEMA SIMAI Springer Series: 8
Keywords: Mathematics , Differential equations , Partial differential equations , Mathematical physics , Computer mathematics , Mathematics , Partial Differential Equations , Ordinary Differential Equations , Mathematical Applications in the Physical Sciences , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319312811:ONLINE Show nearby items on shelf
Title:Mathematical Analysis, Approximation Theory and Their Applications
Author(s):
Date:2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-31281-1
Contents:A brief history of the Favard operator and its variants -- Bivariate extension of linear positive operators -- Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives -- The retraction-displacement condition in the theo ry of fixed point equation with a convergent iterative algorithm -- An adaptive finite element method for solving a free boundary problem with periodic boundary conditions in lubrication theory -- Evolution solutions of equilibrium problems - a computatio nal approach -- Cantor, Banach and Baire theorems in generalized metric spaces -- A Survey of Perturbed Ostrowski Type Inequalities -- Hyers-Ulam-Rassias stability of the generalized Wilson’s functional equation -- Approximation under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane -- On the asymptotic behavior of sequences of positive linear approximation operators -- Approximation of functions by additive and by quadratic mappings -- Bernstein Type
Inequalities concerning Growth of Polynomials -- Approximation for generalization of Baskakov-Durrmeyer operators -- A Tour on p (x)-Laplacian Problems When p = ∞ -- An umbral calculus approach to Bernoulli-Padé polynomials -- Hadamard Matrices: Insights into their growth factor and determinant computations -- Localized summability kernels for Jacobi expansions -- Quadrature rules with multiple nodes -- A -summability of sequences of linear conservative operators -- Simultaneous Weighted Approxim ation with Multivariate Baskakov-Schurer Operators -- Approximation of Discontinuous Functions by q-Bernstein Polynomials -- Nests, and their Role in the Orderability Problem -- Resolvent Operators for Some Classes of Integro-Differential Equations -- Com ponent Matrices of a Square Matrix and their Properties -- Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators -- A modified pointwise estimate on simultaneous
approximation by Bernstein polynomials -- Structural Fixed Point Results in Metric Spaces -- Models of Fuzzy Linear Regression: An Application in Engineering -- Properties of Functions of generalized bounded variations
ISBN:9783319312811
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 111
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Special functions , Computer mathematics , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Operator Theory , Special Functions , Global Analysis and Analysis on Manifolds , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319309217:ONLINE Show nearby items on shelf
Title:Numerical Optimization with Computational Errors
Author(s): Alexander J Zaslavski
Date:2016
Size:1 online resource (304 p.)
Note:10.1007/978-3-319-30921-7
Contents:1. Introduction -- 2. Subgradient Projection Algorithm -- 3. The Mirror Descent Algorithm -- 4. Gradient Algorithm with a Smooth Objective Function -- 5. An Extension of the Gradient Algorithm -- 6. Weiszfeld's Method -- 7. The Extragradient Method for Convex Optimization -- 8. A Projected Subgradient Method for Nonsmooth Problems -- 9. Proximal Point Method in Hilbert Spaces -- 10. Proximal Point Methods in Metric Spaces -- 11. Maximal Monotone Operators and the Proximal Point Algorithm -- 12. The Extragradient Method for Solving Variational Inequalities -- 13. A Common Solution of a Family of Variational Inequalities -- 14. Continuous Subgradient Method -- 15. Penalty Methods -- 16. Newton's method -- References -- Index.
ISBN:9783319309217
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 108
Keywords: Mathematics , Numerical analysis , Calculus of variations , Operations research , Management science , Mathematics , Calculus of Variations and Optimal Control Optimization , Numerical Analysis , Operations Research, Management Science
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Call number:SPRINGER-2016-9783319307855:ONLINE Show nearby items on shelf
Title:Advances in Mathematical Modeling, Optimization and Optimal Control
Author(s):
Date:2016
Size:1 online resource (15 p.)
Note:10.1007/978-3-319-30785-5
ISBN:9783319307855
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 109
Keywords: Mathematics , Image processing , Operator theory , Computer mathematics , Calculus of variations , Biomedical engineering , Mathematics , Calculus of Variations and Optimal Control Optimization , Biomedical Engineering , Image Processing and Computer Vision , Operator Theory , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319302560:ONLINE Show nearby items on shelf
Title:Introduction to Scientific Computing and Data Analysis
Author(s): Mark H Holmes
Date:2016
Size:1 online resource (138 p.)
Note:10.1007/978-3-319-30256-0
Contents:Introduction to Scientific Computing -- Solving a Nonlinear Equation -- Matrix Equations -- Eigenvalue Problems -- Interpolation -- Numerical Integration -- Initial Value Problems -- Optimization -- Data Analysis -- Appendices
ISBN:9783319302560
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Computational Science and Engineering: 13
Keywords: Mathematics , Partial differential equations , Computer mathematics , Mathematical optimization , Mathematics , Computational Science and Engineering , Optimization , Partial Differential Equations
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Call number:SPRINGER-2016-9783319301303:ONLINE Show nearby items on shelf
Title:Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows
Author(s): Murat Uzunca
Date:2016
Size:1 online resource (10 p.)
Note:10.1007/978-3-319-30130-3
Contents:1 INTRODUCTION -- 1.1 Geological and computational background -- 1.2 Outline -- 2 DISCONTINUOUS GALERKIN METHODS -- 2.1 Preliminaries -- 2.2 Construction of IPG Methods -- 2.3 Computation Tools for Integral Terms -- 2.4 Effect of Penalty Parameter -- 2.5 Problems with Convection -- 3 ELLIPTIC PROBLEMS WITH ADAPTIVITY -- 3.1 Model Elliptic Problem -- 3.2 Adaptivity -- 3.3 Solution of Linearized Systems -- 3.4 Comparison with Galerkin Least Squares FEM (GLSFEM) -- 3.5 Numerical Examples -- 4 PARABOLI C PROBLEMS WITH TIME-SPACE ADAPTIVITY -- 4.1 Preliminaries and Model Equation -- 4.2 Semi-Discrete and Fully Discrete Formulations -- 4.3 Time-Space Adaptivity for Non-Stationary Problems -- 4.4 Solution of Fully Discrete System -- 4.5 Numerical Examples. -REFERENCES.
ISBN:9783319301303
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Geophysics , Partial differential equations , Numerical analysis , Mathematics , Numerical Analysis , Partial Differential Equations , Geophysics/Geodesy
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Call number:SPRINGER-2016-9783319294391:ONLINE Show nearby items on shelf
Title:Finite Difference Computing with Exponential Decay Models
Author(s): Hans Petter Langtangen
Date:2016
Size:1 online resource (200 p.)
Note:10.1007/978-3-319-29439-1
Contents:Preface -- Algorithms and implementations -- Analysis -- Generalizations -- Models -- Scientific Software Engineering -- References -- Index.
ISBN:9783319294391
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Computational Science and Engineering: 110
Keywords: Mathematics , Computer programming , Software engineering , Computer mathematics , Physics , Applied mathematics , Engineering mathematics , Mathematics , Computational Science and Engineering , Programming Techniques , Software Engineering , Numerical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9783319283166:ONLINE Show nearby items on shelf
Title:An Introduction to Statistics with Python With Applications in the Life Sciences
Author(s): Thomas Haslwanter
Date:2016
Size:1 online resource (85 p.)
Note:10.1007/978-3-319-28316-6
Contents:Part I: Python and Statistics -- Why Statistics? -- Python -- Data Input -- Display of Statistical Data -- Part II: Distributions and Hypothesis Tests -- Background -- Distributions of One Variable -- Hypothesis Tests -- Tests of Means of Numerical Data -- Tests on Categorical Data -- Analysis of Survival Times -- Part III: Statistical Modelling -- Linear Regression Models -- Multivariate Data Analysis -- Tests on Discrete Data -- Bayesian Statistics -- Solutions -- Glossary -- Index
ISBN:9783319283166
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Programming languages (Electronic computers) , Biostatistics , Computer mathematics , Statistics , Statistics and Computing/Statistics Programs , Statistics for Life Sciences, Medicine, Health Sciences , Biostatistics , Computational Science and Engineering , Programming Languages, Compilers, Interpreters
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Call number:SPRINGER-2016-9783319272658:ONLINE Show nearby items on shelf
Title:Basic Concepts in Computational Physics
Author(s): Benjamin A Stickler
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (409 p.)
Note:10.1007/978-3-319-27265-8
Contents:Some Basic Remarks -- Part I Deterministic Methods -- Numerical Differentiation -- Numerical Integration -- The KEPLER Problem -- Ordinary Differential Equations – Initial Value Problems -- The Double Pendulum -- Molecular Dynamics --
Numerics of Ordinary Differential Equations - Boundary Value Problems -- The One-Dimensional Stationary Heat Equation -- The One-Dimensional Stationary SCHRÖDINGER Equation -- Partial Differential Equations -- Part II Stochastic
Methods -- Pseudo Random Number Generators -- Random Sampling Methods -- A Brief Introduction to Monte-Carlo Methods -- The ISING Model -- Some Basics of Stochastic Processes -- The Random Walk and Diffusion Theory -- MARKOV-Chain
Monte Carlo and the POTTS Model -- Data Analysis -- Stochastic Optimization -- Appendix: The Two-Body Problem -- Solving Non-Linear Equations. The NEWTON Method -- Numerical Solution of Systems of Equations -- Fast Fourier Transform --
Basics of Probability Theory -- Phase Transitions -- Fractional Integrals and Derivatives in 1D -- Least Squares Fit -- Deterministic Optimization
ISBN:9783319272658
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemistry, Physical and theoretical , Computer mathematics , Applied mathematics , Engineering mathematics , Physics , Numerical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , Computational Mathematics and Numerical Analysis , Theoretical and Computational Chemistry
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Call number:SPRINGER-2016-9783319270999:ONLINE Show nearby items on shelf
Title:Statistical Analysis for High-Dimensional Data The Abel Symposium 2014
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (19 p.)
Note:10.1007/978-3-319-27099-9
Contents:Some Themes in High-Dimensional Statistics: A. Frigessi et al -- Laplace Appoximation in High-Dimensional Bayesian Regression: R. Barber, M. Drton et al -- Preselection in Lasso-Type Analysis for Ultra-High Dimensional Genomic Exploration: L.C. Berg ersen, I. Glad et al -- Spectral Clustering and Block Models: a Review and a new Algorithm: S. Bhattacharyya et al -- Bayesian Hierarchical Mixture Models: L. Bottelo et al -- iBATCGH Integrative Bayesian Analysis of Transcriptomic and CGH Data: Cassese, M. Vannucci et al -- Models of Random Sparse Eigenmatrices and Bayesian Analysis of Multivariate Structure: A.J. Cron, M. West -- Combining Single and Paired End RNA-seq Data for Differential Expression Analysis: F. Feng, T.Speed et al -- An Imputation Me thod for Estimation the Learning Curve in Classification Problems: E. Laber et al -- Baysian Feature Allocation Models for Tumor Heterogeneity: J. Lee, P. Mueller et al -- Bayesian Penalty Mixing: The Case of a Non-Separable Penalty: V.
Rockova et al -- Confidence Intervals for Maximin Effects in Inhomogeneous Large Scale Data: D. Rothenhausler et al -- Chisquare Confidence Sets in High-Dimensional Regression: S. van de Geer et al.
ISBN:9783319270999
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Abel Symposia: 11
Keywords: Mathematics , Bioinformatics , Computer mathematics , Statistics , Mathematics , Computational Mathematics and Numerical Analysis , Statistical Theory and Methods , Bioinformatics , Statistics and Computing/Statistics Programs , Statistics for Life Sciences, Medicine, Health Sciences , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien
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Call number:SPRINGER-2016-9783319266459:ONLINE Show nearby items on shelf
Title:Retarded Potentials and Time Domain Boundary Integral Equations A Road Map
Author(s): Francisco-Javier Sayas
Date:2016
Size:1 online resource (2 p.)
Note:10.1007/978-3-319-26645-9
Contents:The retarted layer potentials -- From time domain to Laplace domain -- From Laplace domain to time domain -- Convulution Quadrature -- The Discrete layer potentials -- A General Class of Second Order Differential Equations.- Time domain analysis of the single layer potential.- Time domain analysis of the double layer potential.- Full discretization revisited -- Patterns, Extensions, and Conclusions -- Appendices
ISBN:9783319266459
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Computational Mathematics: 50
Keywords: Mathematics , Integral equations , Partial differential equations , Computer mathematics , Mathematics , Integral Equations , Partial Differential Equations , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319263113:ONLINE Show nearby items on shelf
Title:Parametric and Nonparametric Inference for Statistical Dynamic Shape Analysis with Applications
Author(s): Chiara Brombin
Date:2016
Edition:1st ed. 2016
Size:1 online resource (27 p.)
Note:10.1007/978-3-319-26311-3
Contents:Part I Offset Normal Distribution for Dynamic Shapes -- Basic Concepts and Definitions -- Shape Inference and the Offset-Normal Distribution -- Dynamic Shape Analysis Through the Offset-Normal Distribution -- Part II Combination-Based Permutation T ests for Shape Analysis -- Parametric and Non-Parametric Testing of Mean Shapes -- Applications of NPC Methodology -- Shape Inference and the Offset-Normal Distribution.
ISBN:9783319263113
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Mathematical statistics , Computer mathematics , Statistics , Statistical Theory and Methods , Probability and Statistics in Computer Science , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319224701:ONLINE Show nearby items on shelf
Title:Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Author(s): Jan S Hesthaven
Date:2016
Edition:1st ed. 2016
Size:1 online resource (27 p.)
Note:10.1007/978-3-319-22470-1
Contents:1 Introduction and Motivation -- 2 Parametrized Differential Equations -- 3 Reduced Basis Methods -- 4 Certified Error Control -- 5 The Empirical Interpolation Method -- 6 Beyond the Basics -- 7 Appendix A Mathematical Preliminaries
ISBN:9783319224701
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Partial differential equations , Applied mathematics , Engineering mathematics , Computer mathematics , Physics , Mathematics , Computational Mathematics and Numerical Analysis , Partial Differential Equations , Appl.Mathematics/Computational Methods of Engineering , Theoretical, Mathematical and Computational Physics , Applications of Mathematics
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Call number:SPRINGER-2016-9783319161396:ONLINE Show nearby items on shelf
Title:Forging Connections between Computational Mathematics and Computational Geometry Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry
Author(s):
Date:2016
Size:1 online resource (30 p.)
Note:10.1007/978-3-319-16139-6
Contents:Numerical Analysis of Reacting Flow in a Carbon Monoxide Boiler -- Some Efficient Schemes for Two-stage Gauss Method Ratnam Vigneswaran -- Effect of External Acceleration on the Flow Resistance in a Stenosed Catheterized Artery -- Matrix Induced by Change of Variables in a System of Polynomial Equations -- Varying Iteration Accuracy Using Inexact Conjugate Gradients in Control Problems Governed by Partial Differential Equations -- Dynamics of Hepatitis C Virus with Saturation Incidence Rate -- Some Groups with the Rapid Decay Property -- Köthe – Toeplitz Duals and Matrix Transformations of the Sequence Space bv(p) -- Quasi Class Q Operator -- Common Fixed Points of Two Finite Families of Quasicontractive Type Operators in Normed Spaces -- Simulta neous Test Procedures in Terms of p-value Copulae -- Determining the Long-run Equilibrium Price by the Mean Reversion Process and the Cobweb Model -- Application of Maximal Segmental Score in Genome-wide Association Studies When Raw Data is
Unavailable -- Comparison of the Generalized Least Squares F-Test for the Nested Error Regression Model -- Review of Asset Return Distribution and Its Application -- Sampling Moments of Resamples -- Designing Chain Sampling Plan (ChSP-1) under Lot Q uality Protection -- Minimum ATI ChSP – 4 (c1, c2) Plans -- On Compromise Mixed Allocation in Multivariate Stratified Sampling with Random Parameters -- Graphics Lipschitz-Killing Curvatures of the Excursion Sets of Skew Student-t Random Fields -- Optim ization of Power Transmission in Clustering Stochastic Networks As a Queuing System -- On the Total Closed Edge-Neighbourhood Graph of a Graph -- Combinatorial Cosmology? Time’s Arrow from a Graph Theorist’s Point of View
ISBN:9783319161396
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 124
Keywords: Statistics , Computer mathematics , Statistics , Statistical Theory and Methods , Statistics, general , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9781493932078:ONLINE Show nearby items on shelf
Title:Classical Mechanics with Maxima
Author(s): Todd Keene Timberlake
Date:2016
Edition:1st ed. 2016
Size:1 online resource (258 p.)
Note:10.1007/978-1-4939-3207-8
Contents:Introduction to Maxima -- Numerical Methods -- Newton’s Laws of Motion -- Dynamics of Single Particles -- Oscillators -- Nonlinear Mechanics and Chaos
ISBN:9781493932078
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Algebra , Mathematical physics , Computer mathematics , Mechanics , Physics , Mathematical Methods in Physics , Mathematical Applications in the Physical Sciences , Mechanics , General Algebraic Systems , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2014-9783642545931:ONLINE Show nearby items on shelf
Title:Neural Fields [electronic resource] : Theory and Applications
Author(s): Stephen Coombes
Peter beim Graben
Roland Potthast
James Wright
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:With this book, the editors present the first comprehensive collection in neural field studies, authored by leading scientists in the field - among them are two of the founding-fathers of neural field theory. Up to now, researchresults in the field h ave been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. Starting with a tutorial for novices in neural field studies, thebook comprises chapters on emergent pattern s, their phase transitions and evolution, on stochastic approaches, cortical development, cognition, robotics and computation, large-scale numerical simulations, the coupling of neural fieldsto the electroencephalogram and phase transitions in anesthesia. The intended readership are students and scientists in applied mathematics, theoretical physics, theoretical biology, and computational neuroscience. Neural field theoryand its applications have a long-standing tradition in the mathematical and computati onal neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan,Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Bressloff, Haken, and Wright. Since then, much progress has been made in both, the development of mathematical andnumerical techniques, and in physiological refinement and understanding. In contrast to large-scale neural network models desc ribed by huge connectivity matrices that are computationally expensive in numerical simulations, neural fieldmodels described by connectivity kernels allow for analytical treatment by means of functional analysis methods. Thus, a number of rigorous result s on the existence of bump and wave solutions or on inverse kernel construction problemsare nowadays available. Moreover, neural fields provide an important interface for the coupling of continuous neur
Contents:Preface
1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast
Part I Theory of Neural Fields
2.A Personal Account of the Development of the Field Theory of Large
Scale Brain Activity from 1945 Onward. J. Cowan
3.HeavisideWorld: Excitation and Self
Organization of Neural Fields. Shun
ichi Amari
4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Ermentrout, S.E. Folias and Z.P. Kilpatrick
5.PDE Methods for Two
Dimensional Neural Fields. C.R. Laing
6.Numerical Simulation Scheme of One
and Two Dimensional Neural Fields Inv
ISBN:9783642545931
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Integral equations , Consciousness
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Call number:SPRINGER-2014-9783319069234:ONLINE Show nearby items on shelf
Title:Advances in Applied Mathematics [electronic resource]
Author(s): Ali R Ansari
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume contains contributions from the Gulf International Conference in Applied Mathematics, held at the Gulf University for Science & Technology. The proceedings reflects the three major themes of the conference. The firstof these was mathemati cal biology, including a keynote address by Professor Philip Maini. The second theme was computational science/numerical analysis, including a keynote address by Professor Grigorii Shishkin. The conference alsoaddressed more general applications topics, w ith papers in business applications, fluid mechanics, optimization, scheduling problems, and engineering applications, as well as a keynote by Professor Ali Nayfeh
Contents:Modelling invasive processes in biology
Modelling oxygen capillary supply to striated muscle tissues
Modeling human response to bednet promotion campaigns and its impact on malaria transmission
Computational Modelling and Optimal Control of HIV/AIDS Transmission in a Community with Substance Abuse Problem
Standard dierence scheme for a singularly perturbed convection
diusion equation in the presence of perturbations
A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem
A parameter uniform numerical method for a bounda
ISBN:9783319069234
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v87
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2014-9783319062303:ONLINE Show nearby items on shelf
Title:Spectral Methods for Non-Standard Eigenvalue Problems [electronic resource] : Fluid and Structural Mechanics and Beyond
Author(s): Clin-Ioan Gheorghiu
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solvenon-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions. The book ismathematical, poising problems in their proper functi on spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numericalill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems. In addition, the book makes heavy use of the concept of pseudospectrum, which ishighly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shearflows. This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The bookcan also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis
Contents:1 General Formulation of Spectral Approximation
2 Tau and Galerkin Methods for Fourth Order GEPs
3 The Chebyshev Collocation Method
4 The Laguerre Collocation Method
5 Conclusions and Further Developments
Appendix: Algebraic Two
Parameter Eigenvalue Problems
Index
ISBN:9783319062303
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Computer science Mathematics , Computer science , Numerical analysis
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Call number:SPRINGER-2014-9783319040998:ONLINE Show nearby items on shelf
Title:Topological Methods in Data Analysis and Visualization III [electronic resource] : Theory, Algorithms, and Applications
Author(s): Peer-Timo Bremer
Ingrid Hotz
Valerio Pascucci
Ronald Peikert
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms andinsights, including fast homo logy computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as therepresentation of large and complex datasets and integrati ng numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made onfinding experimental solutions to open problems in the sector. They provide an i nclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for futureprogress. With papers by some of the worlds leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range fromengineering to medicine
Contents:Part I Robust Topological Analysis: 1 Robust Detection of Singularities in Vector Fields: H. Bhatia, A. Gyulassy, H. Wang, P
T. Bremer and V. Pascucci
2 Interpreting Feature Tracking Through the Lens of Robustness: P. Skraba and B. Wang
3 Simplification of Morse Decompositions using Morse Set Mergers: L. Sipeki and A. Szymczak
4 Toward the Extraction of Saddle Periodic Orbits: J. Kasten, J. Reininghaus, W. Reich and G. Scheuermann
Part II Efficient Computation of Topology
5 Computational Topology via Functional Programming: A Baseline Analysis: D. Duke and H. Carr
6 Distribu
ISBN:9783319040998
Series:eBooks
Series:SpringerLink
Series:Mathematics and Visualization, 1612-3786
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Optical pattern recognition , Global analysis (Mathematics) , Visualization , Geometry , Topology
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Call number:SPRINGER-2014-9783319037622:ONLINE Show nearby items on shelf
Title:Data Analysis [electronic resource] : Statistical and Computational Methods for Scientists and Engineers
Author(s): Siegmund Brandt
Date:2014
Edition:4th ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory andpractical problems. The co ncise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysisand graphical representation as well as many exam ple programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free downloadfrom the books page at www.springer.com. Contents Probabilities. Rando m variables. Random numbers and the Monte Carlo Method. Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. Maximum Likelihood.Least Squares. Regression. Minimization. Analysis of Variance. Time series analysis. Audience The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists andpractitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work. The book is concise, but gives asufficiently rigorous mathematical treatment of practical statistical methods for data analysis it can be of great use to all who are involved with data analysis. Physicalia This lively and erudite treatise covers the theory ofthe main statistical tools and their practical applicationsa first rate university textbook, and good background material for the practicing physicist. Physics Bulletin The Aut hor Siegmund Brandt is Emeritus Professor of Physicsat the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in
Contents:Introduction
Probabilities
Random Variables: Distributions
Computer
Generated Random Numbers: The Monte Carlo Method
Some Important Distributions and Theorems
Samples
The Method of Maximum Likelihood
Testing Statistical Hypotheses
The Method of Least Squares
Function Minimization
Analysis of Variance
Linear and Polynomial Regression
Time
Series Analysis
A) Matrix Calculations
B) Combinatorics
C) Formulas and Methods for the Computation of Statistical Functions
D) The Gamma Function and Related Functions: Methods and Programs for their Computation
ISBN:9783319037622
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry Mathematics , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2014-9783319020990:ONLINE Show nearby items on shelf
Title:Introduction to Partial Differential Equations [electronic resource]
Author(s): Peter J Olver
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, andelsewhere. The exposition car efully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, andinclude straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material thatmotivates the student to delve further into the subject. No previous experien ce with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- andmulti-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to formthe core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximu m Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems,and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes ar e an important component of any introductory course, and the text covers the twomost basic approaches: finite differences and finite elements. Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests a re centered on the development of symmetry-based methodsfor differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research
Contents:What are Partial Differential Equations?
Linear and Nonlinear Waves
Fourier Series
Separation of Variables
Finite Differences
Generalized Functions and Greens Functions
Complex Analysis and Conformal Mapping
Fourier Transforms
Linear and Nonlinear Evolution Equations
A General Framework forLinear Partial Differential Equations
FiniteElements and Weak Solutions
Dynamics of Planar Media
Partial Differential Equations in Space .
ISBN:9783319020990
Series:eBooks
Series:SpringerLink
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Differential equations, partial
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Call number:SPRINGER-2014-9783034806121:ONLINE Show nearby items on shelf
Title:Separable Type Representations of Matrices and Fast Algorithms [electronic resource] : Volume 2 Eigenvalue Method
Author(s): Yuli Eidelman
Israel Gohberg
Iulian Haimovici
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The primary focus is on fast algorithms (many of linear complexity) for matrices insemiseparable, quasiseparable , band and companion form. The work examines algorithms of multiplication, inversion and description of eigenstructure and includes a wealth of illustrative examples throughout the different chapters. Thesecond volume, consisting of four parts, addresses the eigenvalue problem for matrices with quasiseparable structure and applications to the polynomial root finding problem. In the first part the properties of the characteristicpolynomials of principal leading submatrices, the structure of eigenspaces and the basic methods for computing eigenvalues are studied in detail for matrices with quasiseparable representation of the first order. The second part isdevoted to the divide and conquer method, with the main algorithms also being derived for matrices wit h quasiseparable representation of order one. The QR iteration method for some classes of matrices with quasiseparablerepresentations of any order is studied in the third part. This method is then used in the last part in order to provide a fast solver fo r the polynomial root finding problem. The work is based mostly on results obtained by the authorsand their coauthors. Due to its many significant applications and accessible style, the text will be a valuable resource for engineers, scientists, numerical analysts, computer scientists and mathematicians alike
Contents:Part 5. The eigenvalue structure of order one quasiseparable matrices
21. Quasiseparable of order one matrices. Characteristic polynomials
22. Eigenvalues with geometric multiplicity one
23. Kernels of quasiseparable of order one matrices
24. Multiple eigenvalues
Part 6. Divide and conquer method for eigenproblems
25. Divide step
26. Conquer step and rational matrix functions eigenproblem
27. Complete algorithm for Hermitian matrices
28. Complete algorithm for unitary Hessenberg matrices
Part 7. Algorithms for qr iterations and for reduction to Hessenberg form
ISBN:9783034806121
Series:eBooks
Series:SpringerLink
Series:Operator Theory: Advances and Applications, 0255-0156 : v235
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Numerical analysis
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Call number:SPRINGER-2014-9783034806060:ONLINE Show nearby items on shelf
Title:Separable Type Representations of Matrices and Fast Algorithms [electronic resource] : Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms
Author(s): Yuli Eidelman
Israel Gohberg
Iulian Haimovici
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The primary focus is on fast algorithms (many of linear complexity) for matrices insemiseparable, quasiseparable , band and companion form. The work examines algorithms of multiplication, inversion and description of eigenstructure and includes a wealth of illustrative examples throughout the different chapters. Thefirst volume consists of four parts. The first part is mainly theoretical in character, introducing and studying the quasiseparable and semiseparable representations of matrices and minimal rank completion problems. Three furthercompletions are treated in the second part. The first applications of the qua siseparable and semiseparable structure are included in the third part, where the interplay between the quasiseparable structure and discrete time varyinglinear systems with boundary conditions play an essential role. The fourth part includes factorizatio n and inversion fast algorithms for matrices via quasiseparable and semiseparable structures. The work is based mostly on resultsobtained by the authors and their coauthors. Due to its many significant applications and accessible style, the text will be a valuable resource for engineers, scientists, numerical analysts, computer scientists and mathematiciansalike
Contents:Part 1. Basics on separable, semiseparable and quasiseparable representations of matrices
1. Matrices with separable representation and low complexity algorithms
2. The minimal rank completion problem
3. Matrices in diagonal plus semiseparable form
4. Quasiseparable representations: the basics
5. Quasiseparable generators
6. Rank numbers of pairs of mutually inverse matrices, Asplund theorems
7. Unitary matrices with quasiseparable representations
Part 2. Completion of matrices with specified bands
8. Completion to Green matrices
9. Completion to matrices with ban
ISBN:9783034806060
Series:eBooks
Series:SpringerLink
Series:Operator Theory: Advances and Applications, 0255-0156 : v234
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Numerical analysis
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Call number:SPRINGER-2014-9781493908080:ONLINE Show nearby items on shelf
Title:Optimization in Science and Engineering [electronic resource] : In Honor of the 60th Birthday of Panos M. Pardalos
Author(s): Themistocles M Rassias
Christodoulos A Floudas
Sergiy Butenko
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Optimization in Science and Engineering is dedicated in honor of the 60th birthday of Distinguished Professor Panos M. Pardalos. Pardaloss past and ongoing work has made a significant impact on several theoretical and appliedareas in modern optimizat ion. As tribute to the diversity of Dr. Pardaloss work in Optimization, this book comprises a collection of contributions from experts in various fields of this rich and diverse area of science. Topicshighlight recent developments and include: Determinist ic global optimization Variational inequalities and equilibrium problems Approximation and complexity in numerical optimization Non-smooth optimization Statistical models and datamining Applications of optimization in medicine, energy systems, and complex network analysis This volume will be of great interest to graduate students, researchers, and practitioners, in the fields of optimization and engineering
Contents:Piecewise Linear Classifiers Based on Nonsmooth Optimization Approaches
Variational Inequality Models Arising in the Study of Viscoelastic Materials
Neighboring Local Optimal Solutions and Its Applications
General Traffic Equilibrium Problem with Uncertainty and Random Variational Inequalities
Computational Complexities of Optimization Problems Related to Model Based Clustering of Networks
On Distributed
Lag Modeling Algorithms by r
Convexity and Piecewise Monotonicity
Poincar
Type Inequalities for Greens Operator on Harmonic Forms
The Robustness Concern in Preference
ISBN:9781493908080
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Software engineering , Computer science , Computer aided design , Mathematical optimization
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Call number:SPRINGER-2013-9783642354649:ONLINE Show nearby items on shelf
Title:Artificial Boundary Method [electronic resource]
Author(s): Houde Han
Xiaonan Wu
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Artificial Boundary Method systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems,including Laplace, Helmholt z, heat, Schrodinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics andmechanical engineering. Prof. Houde Han works at Tsi nghua University, China Prof. Xiaonan Wu works at Hong Kong Baptist University, China
Note:Springer eBooks
Contents:Global artificial boundary conditions of second order elliptic differential equations
Global artificial boundary conditions of Navie Equations and Stokes Equations
Global artificial boundary conditions of heat equation and Schrodinger Equation
Fully absorbing boundary conditions of wave equations, Klein
Gordan Equation and linear KdV Equation
Discrete artificial boundary conditions
Local artificial boundary conditions
Implicit artificial boundary conditions
Nonlinear artificial boundary conditions
Applications
ISBN:9783642354649
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Computer science , Engineering mathematics
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Call number:SPRINGER-2013-9783642351587:ONLINE Show nearby items on shelf
Title:Computational Flexible Multibody Dynamics [electronic resource] : A Differential-Algebraic Approach
Author(s): Bernd Simeon
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this fieldpermanently and rapidly growi ng, with various applications in aerospace engineering, biomechanics, robotics, and vehicle analysis, its foundations can also be built on reasonably established mathematical models. Regarding actualcomputations, great strides have been made over the last two decades, as sophisticated software packages are now capable of simulating highly complex structures with rigid and deformable components. The approach used in this bookshould benefit graduate students and scientists working in computational mechanics and related disciplines as well as those interested in time-dependent partial differential equations and heterogeneous problems with multiple timescales. Additionally, a number of open issues at the frontiers of research are addressed by taking a differe ntial-algebraic approach and extending it to the notion of transient saddle point problems
Note:Springer eBooks
Contents:A Point of Departure
Rigid Multibody Dynamics
Elastic Motion
Flexible Multibody Dynamics
Spatial Discretization
Stiff Mechanical Systems
Time Integration Methods
Numerical Case Studies
ISBN:9783642351587
Series:e-books
Series:SpringerLink (Online service)
Series:Differential-Algebraic Equations Forum
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Numerical analysis , Mechanics
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Call number:SPRINGER-2013-9783642275555:ONLINE Show nearby items on shelf
Title:Differential-Algebraic Equations: A Projector Based Analysis [electronic resource]
Author(s): Ren Lamour
Roswitha Mrz
Caren Tischendorf
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In thisrelatively short tim e, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemicalkinematics, mechanical engineering and syste ms biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential forthe future mathematical modeling of complex coupled processes. The purpose ofthe book is to expose the impressive complexity of general DAEs fro m an analytical point of view, to describe the state of the art as well as open problems andin sodoing to motivate further researchof this versatile,extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structu ral analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of specialprojector functions. Some issues on numerical integration and computational aspects are also treated in this context
Note:Springer eBooks
Contents:Notations
Introduction
Part I. Projector based approach
1 Linear constant coefficient DAEs
.2 Linear DAEs with variable coefficients
3 Nonlinear DAEs
Part II. Index
1 DAEs: Analysis and numerical treatment
4 Analysis
5 Numerical integration
6 Stability issues
Part III. Computational aspects
7 Computational linear algebra aspects
8 Aspects of the numerical treatment of higher index DAEs
Part IV. Advanced topics
9 Quasi
regular DAEs
10 Nonregular DAEs
11 Minimization with constraints described by DAEs
12 Abstract differential algebraic equations
ISBN:9783642275555
Series:e-books
Series:SpringerLink (Online service)
Series:Differential-Algebraic Equations Forum
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Computer science Mathematics
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Call number:SPRINGER-2013-9783319004013:ONLINE Show nearby items on shelf
Title:Computational Physics [electronic resource] : Simulation of Classical and Quantum Systems
Author(s): Philipp O.J Scherer
Date:2013
Edition:2nd ed. 2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics.Many clear mathemati cal descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study theproperties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations.Several classes of integration methods are discussed includin g not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space.Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment ofdifferential equations provides methods of finite differences, finite volumes, finite elements and boundar y elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantumsystems is performed, containing pseudo-spectral methods, finite differences methods, rational approximation to the time evolution op erator, second order differencing and split operator methods. The book gives simple but non trivialexamples from a broad range of physical topics trying to give the reader insight into the numerical treatment but also the simulated problems. Rotational mo tion is treated in much detail to describe the motion of rigid rotors which canbe just a simple spinning top or a collection of molecules or planets. The behaviour of simple quantum systems is studied t
Note:Springer eBooks
Contents:Part I Numerical Methods
Error Analysis
Interpolation
Numerical Differentiation
Numerical Integration
Systems of Inhomogeneous Linear Equations
Roots and Extremal Points
Fourier Transformation
Random Numbers and Monte
Carlo Methods
Eigenvalue Problems
Data Fitting
Discretization of Differential Equations
Equations of Motion
Part II Simulation of Classical and Quantum Systems
Rotational Motion
Molecular Dynamics
Thermodynamic Systems
Random Walk and Brownian Motion
Electrostatics
Waves
Diffusion
Nonlinear Systems
Simple Quantum S
ISBN:9783319004013
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Engineering mathematics
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Call number:SPRINGER-2013-9781461482598:ONLINE Show nearby items on shelf
Title:Prolate Spheroidal Wave Functions of Order Zero [electronic resource] : Mathematical Tools for Bandlimited Approximation
Author(s): Andrei Osipov
Vladimir Rokhlin
Hong Xiao
Date:2013
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. Whilehistorically the numerical eval uation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs havebeen becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematiciansinterested in PSWF as an analytical tool to electrical engineers designing filters and antennas
Note:Springer eBooks
Contents:Introduction
Mathematical and Numerical Preliminaries
Overview
Analysis of the Differential Operator
Analysis of the Integral Operator
Rational Approximations of PSWFs
Miscellaneous Properties of PSWFs
Asymptotic Analysis of PSWFs
Quadrature Rules and Interpolation via PSWFs
Numerical Algorithms
ISBN:9781461482598
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v187
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Engineering mathematics
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Call number:SPRINGER-2013-9781461476870:ONLINE Show nearby items on shelf
Title:Brownian Dynamics at Boundaries and Interfaces [electronic resource] : In Physics, Chemistry, and Biology
Author(s): Zeev Schuss
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their keyrole in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions ofbiological micro devices such as protein ionic ch annels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry,biophysics, computer science, communications theory, mathematical finance theor y, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematicalproblems that neither the kinetic theory of Maxwell and Boltzmann, nor Einsteins and Langevins theori es of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition ofmathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who areinterested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout
Note:Springer eBooks
Contents:The Mathematical Brownian Motion
Euler Simulation of Ito SDEs
Simulation of the Overdamped Langevin Equation
The First Passage Time of a Diffusion Process
Chemical Reaction in Microdomains
The Stochastic Separatrix
Narrow Escape in R2
Narrow Escape in R3
ISBN:9781461476870
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v186
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Distribution (Probability theory) , Mathematical physics
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Call number:SPRINGER-2013-9781461471721:ONLINE Show nearby items on shelf
Title:Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications [electronic resource] : In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and AppliedMathematics / edited by Oleg P. Iliev, Svetozar D. Margenov, Peter D Minev, Panayot S. Vassilevski, Ludmil T Zikatanov
Author(s): Oleg P Iliev
Svetozar D Margenov
Peter D Minev
Panayot S Vassilevski
Ludmil T Zikatanov
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:One of the currentmain challenges in the areaof scientific computing is the design and implementation of accuratenumerical models forcomplex physical systems which aredescribed by time-dependent coupled systems ofnonlinear PDEs.This volume integrates the works of experts in computational mathematics and its applications, with a focuson modern algorithms which are at the heart of accurate modeling: adaptive finite element methods,conservative finite difference methods and finite volume methods,and mul tilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced.Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, s tructural mechanics, and electromagnetism are presented. Researchers and graduate students in numerical analysis and numericalsolutions of PDEsand their scientific computing applications will find this book useful.
Note:Springer eBooks
Contents:Improving Conservation for First
Order System Least Squares Finite
Element Methods, James Adler, Panayot Vassilevski
Multiscale Coarsening for Linear Elasticity by Energy Minimization, Heiko Andrae, Marco Buck, Oleg Iliev
Preconditioners for some matrices of two
by
two block form, with applications, I, Owe Axelsson
A multigrid algorithm for an elliptic problem with a perturbed boundary condition, Andrea Bonito, Joe Pasciak
Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs, James Brannick, Yao Chen, Xiaozhe Hu, Ludmil Zikatanov
Aspects of Guaranteed Error
ISBN:9781461471721
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v45
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differential equations, partial , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2013-9781461458388:ONLINE Show nearby items on shelf
Title:Optimization [electronic resource]
Author(s): Kenneth Lange
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance betweenpresentation of mathematical theo ry and development of numerical algorithms. Building on students skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstraction. Its stress on statisticalapplications will be especially appealing to graduate stude nts of statistics and biostatistics. The intended audience also includes students in applied mathematics, computational biology, computer science, economics, and physics whowant to see rigorous mathematics combined with real applications. In this second edition, the emphasis remains on finite-dimensional optimization. New material has been added on the MM algorithm, block descent and ascent, and thecalculus of variations. Convex calculus is now treated in much greater depth. Advanced topics such as the F enchel conjugate, subdifferentials, duality, feasibility, alternating projections, projected gradient methods, exact penaltymethods, and Bregman iteration will equip students with the essentials for understanding modern data mining techniques in high dime nsions
Note:Springer eBooks
Contents:Elementary Optimization
The Seven Cs of Analysis
The Gauge Integral
Differentiation
Karush
Kuhn
Tucker Theory
Convexity
Block Relaxation
The MM Algorithm
The EM Algorithm
Newtons Method and Scoring
Conjugate Gradient and Quasi
Newton
Analysis of Convergence
Penalty and Barrier Methods
Convex Calculus
Feasibility and Duality
Convex Minimization Algorithms
The Calculus of Variations
Appendix: Mathematical Notes
References
Index
ISBN:9781461458388
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X : v95
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical optimization , Mathematical statistics , Operations research
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Call number:SPRINGER-2013-9781461453512:ONLINE Show nearby items on shelf
Title:Computational Electromagnetics [electronic resource]
Author(s): Thomas Rylander
Par Ingelstrm
Anders Bondeson
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the mostpopular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximationsto the solutions of Maxwell's equations, using, for example, staggered grids and edge elements. The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to providethe tools for assessing the accuracy of numerical methods and their solution s. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequentlythroughout the book. Another major goal of the book is to provide students with enough practical understa nding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLABprograms and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured me shes. Finally, the book summarizes the strengths and weaknessesof the different methods to help thestudent decide which method may be best for each problem. In this second edition the book was updated throughout and extensive computer projects are include d. Reviews of previous edition: This well-written monograph is devoted tostudents at the undergraduate level, but is also useful for practising engineers. (Zentralblatt MATH, 2007)
Note:Springer eBooks
Contents:Introduction
Convergence
Finite Differences
Eigenvalues
The Finite
Difference Time
Domain Method
The Finite Element Method
The Method of Moments
Summary and Overview
Large Linear Systems
Krylov Methods
ISBN:9781461453512
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v51
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Numerical analysis , Computer engineering
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Call number:SPRINGER-2012-9789491216473:ONLINE Show nearby items on shelf
Title:Stochastic Differential Games. Theory and Applications [electronic resource]
Author(s): Kandethody M Ramachandran
Chris P Tsokos
Date:2012
Publisher:Paris : Atlantis Press
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Conflicts in the form of wars, or competition among countries and industrial institutions are plenty in human history. The introduction of game theory in the middle of the twentieth century shed insights and enabled researchers toanalyze this subject with mathematical rigor. From the ground-breaking work of VonNeumann and Morgenston, modern game theory evolved enormously. In the last few decades, Dynamic game theory framework has been deepened and generalizedfrom the pioneering work on differential g ames by R. Isaacs, L.S. Pontryagin and his school, and on stochastic games by Shapley. This book will expose the reader to some of the fundamental methodology in non-cooperative game theory,and highlight some numerical methods, along with some relevant ap plications. Since the early development days, differential game theory has had a significant impact in such diverse disciplines as applied mathematics, economics, systemstheory, engineering, operations, research, biology, ecology, environmental sciences, among others. Modern game theory now relies on wide ranging mathematical and computational methods, and relevant applications that are rich andchallenging. Game theory has been widely recognized as an important tool in many fields. Importance of game theo ry to economics is illustrated by the fact that numerous game theorists, such as John Forbes Nash, Jr., Robert J. Aumannand Thomas C. Schelling, have won the Nobel Memorial Prize in Economics Sciences. Simply put, game-theory has the potential to reshape the analysis of human interaction
Note:Springer eBooks
Contents:Introduction, Survey and Background Material
Stochastic Linear Pursuit
Evasion Game
Two Person Zero
Sum Differential Games
General Case
Formal Solutions for Some Classes of Stochastic Linear Pursuit
N
Person Noncooperative Differential Games
Weak Convergence in Two Player Stochastic Differential Games
Weak Convergence in Many Player Games
Some Numerical Methods
Applications to Finance
ISBN:9789491216473
Series:e-books
Series:SpringerLink (Online service)
Series:Atlantis Studies in Probability and Statistics, 1879-6893 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Economics, Mathematical
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Call number:SPRINGER-2012-9789400740372:ONLINE Show nearby items on shelf
Title:Flux-Corrected Transport [electronic resource]
Author(s): Dmitri Kuzmin
Rainald Lner
Stefan Turek
Date:2012
Edition:2nd ed. 2012
Publisher:Springer Netherlands
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9789400740372
Series:Scientific Computation
Series:e-books
Keywords: Numerical and Computational Physics , Computational Mathematics and Numerical Analysis , Appl.Mathematics/Computational Methods of Engineering , Fluid- and Aerodynamics
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Call number:SPRINGER-2012-9783642324789:ONLINE Show nearby items on shelf
Title:Computational Methods for Physicists [electronic resource] : Compendium for Students
Author(s): Simon Sirca
Martin Horvat
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stabilityand convergence issues as well as to the ways to optimize program execution speeds. Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealtwith, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Lessstress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercialtools
Note:Springer eBooks
Contents:Basics of numerical analysis
Solution of nonlinear equations
Matrix methods
Transformations of functions and signals
Statistical description and modeling of data
Modeling and analysis of time series
Initial
value problems for ordinary differential equations
Boundary
value problems for ordinary differential equations
Difference methods for one
dimensional partial differential equations
Difference methods for partial differential equations in more than one dim
Spectral methods for partial differential equations
ISBN:9783642324789
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Computer science Mathematics , Computer science , Engineering mathematics
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Call number:SPRINGER-2012-9783642324772:ONLINE Show nearby items on shelf
Title:Computational Methods for Physicists [electronic resource]
Author(s): Simon Sirca
Martin Horvat
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Graduate/advanced undergraduate textbook
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642324772
Series:Graduate Texts in Physics
Series:e-books
Keywords: Numerical and Computational Physics , Computational Mathematics and Numerical Analysis , Appl.Mathematics/Computational Methods of Engineering , Theoretical and Computational Chemistry , Computational Science and Engineering
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Call number:SPRINGER-2012-9783642256349:ONLINE Show nearby items on shelf
Title:Extremal Polynomials and Riemann Surfaces [electronic resource]
Author(s): Andrei Bogatyrev
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The problems of conditional optimization of the uniform (or C-) norm for polynomials and rational functions arise in various branches of science and technology. Their numerical solution is notoriously difficult in case of highdegree functions. The bo ok develops the classical Chebyshev's approach which gives analytical representation for the solution in terms of Riemann surfaces. The techniques born in the remote (at the first glance) branches of mathematicssuch as complex analysis, Riemann surfaces a nd Teichmller theory, foliations, braids, topology are applied to approximation problems. The key feature of this book is the usage of beautiful ideas of contemporary mathematics for thesolution of applied problems and their effective numerical realizatio n. This is one of the few books where the computational aspects of the higher genus Riemann surfaces are illuminated. Effective work with the moduli spaces ofalgebraic curves provides wide opportunities for numerical experiments in mathematics and theoret ical physics
Note:Springer eBooks
Contents:1 Least deviation problems
2 Chebyshev representation of polynomials
3 Representations for the moduli space
4 Cell decomposition of the moduli space
5 Abels equations
6 Computations in moduli spaces
7 The problem of the optimal stability polynomial
Conclusion
References
ISBN:9783642256349
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions of complex variables , Global analysis , Numerical analysis , Engineering mathematics
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Call number:SPRINGER-2012-9783642245244:ONLINE Show nearby items on shelf
Title:3+1 Formalism in General Relativity [electronic resource]
Author(s): Eric Gourgoulhon
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642245244
Series:Lecture Notes in Physics
Series:e-books
Keywords: Numerical and Computational Physics , Classical and Quantum Gravitation, Relativity Theory , Astronomy, Astrophysics and Cosmology , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2012-9783642239144:ONLINE Show nearby items on shelf
Title:Frontiers in Numerical Analysis - Durham 2010 [electronic resource]
Author(s): James Blowey
Max Jensen
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensivebibliography. In addition, mo st of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, andproceed to current research topics. The reader shoul d therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problemsare also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own, and graduates inmathematical sciences
Note:Springer eBooks
ISBN:9783642239144
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Computational Science and Engineering, 1439-7358 : v85
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics
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