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SPIRES-BOOKS: FIND KEYWORD MATHEMATICS OF COMPUTING *END*INIT* use /tmp/qspiwww.webspi1/19297.67 QRY 131.225.70.96 . find keyword mathematics of computing ( in books using www Cover
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Call number:9783319517537:ONLINE Show nearby items on shelf
Title:Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance
Author(s):
Date:2017
Size:1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.)
Contents:Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the
Barndor-Nielsen-Shephard Model for Commodity Markets
ISBN:9783319517537
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences
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Call number:SPRINGER-2016-9784431560562:ONLINE Show nearby items on shelf
Title:Structural Analysis of Metallic Glasses with Computational Homology
Author(s): Akihiko Hirata
Date:2016
Size:1 online resource (7 p.)
Note:10.1007/978-4-431-56056-2
Contents:1. Introduction -- 2. Metallic glasses -- 2.1. What is glass? -- 2-2. Structure and properties of metallic glasses -- 2-3. Structure determination and its difficulty -- 3. Homology and computational homology -- 3.1. Cubical complex -- 3.2. Cubical homology -- 3.3. Computing homology groups -- 4. Structure analysis of metallic glasses -- 4.1. Advantage of computational homology -- 4.2. Preparation of input data for metallic glasses -- 4.3. Computing procedure for metallic glasses -- 4.4. Interpretat ion of results obtained by computational homology -- 5. Appendix
ISBN:9784431560562
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SpringerBriefs in the Mathematics of Materials: 2
Keywords: Mathematics , Chemometrics , Category theory (Mathematics) , Homological algebra , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Category Theory, Homological Algebra , Math. Applications in Chemistry
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Call number:SPRINGER-2016-9783662498873:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python
Author(s): Hans Petter Langtangen
Date:2016
Edition:5th ed. 2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-662-49887-3
Contents:Preface -- Computing with Formulas -- Loops and Lists -- Functions and Branching -- User Input and Error Handling -- Array Computing and Curve Plotting -- Dictionaries and Strings -- Introduction to Classes -- Random Numbers and Simple Games -- Obj ect-Oriented Programming -- Sequences and Difference Equations -- Introduction to Discrete Calculus -- Introduction to Differential Equations -- A Complete Differential Equation Project -- Programming of Differential Equations -- Debugging -- Migrating Py thon to Compiled Code -- Technical Topics -- References -- Index
ISBN:9783662498873
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Computational Science and Engineering: 6
Keywords: Mathematics , Computer programming , Computer science , Computer mathematics , Physics , Mathematics , Computational Science and Engineering , Programming Techniques , Mathematics of Computing , Numerical and Computational Physics
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Call number:SPRINGER-2016-9783319411927:ONLINE Show nearby items on shelf
Title:Search and Optimization by Metaheuristics Techniques and Algorithms Inspired by Nature
Author(s): Ke-Lin Du
Date:2016
Size:1 online resource (40 p.)
Note:10.1007/978-3-319-41192-7
Contents:Preface -- Introduction -- Simulated Annealing -- Optimization by Recurrent Neural Networks -- Genetic Algorithms and Genetic Programming -- Evolutionary Strategies -- Differential Evolution -- Estimation of Distribution Algorithms -- Mimetic Algor ithms -- Topics in EAs -- Particle Swarm Optimization -- Artificial Immune Systems -- Ant Colony Optimization -- Tabu Search and Scatter Search -- Bee Metaheuristics -- Harmony Search -- Biomolecular Computing -- Quantum Computing -- Other Heuristics-Insp ired Optimization Methods -- Dynamic, Multimodal, and Constraint-Satisfaction Optimizations -- Multiobjective Optimization -- Appendix 1: Discrete Benchmark Functions -- Appendix 2: Test Functions -- Index
ISBN:9783319411927
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer simulation , Algorithms , Computer mathematics , Mathematical optimization , Computational intelligence , Mathematics , Computational Science and Engineering , Algorithms , Optimization , Simulation and Modeling , Computational Intelligence
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Call number:SPRINGER-2016-9783319395890:ONLINE Show nearby items on shelf
Title:Tools for High Performance Computing 2015 Proceedings of the 9th International Workshop on Parallel Tools for High Performance Computing, September 2015, Dresden, Germany
Author(s):
Date:2016
Size:1 online resource (41 p.)
Note:10.1007/978-3-319-39589-0
ISBN:9783319395890
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer mathematics , Mathematics , Computational Science and Engineering
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Call number:SPRINGER-2016-9783319391823:ONLINE Show nearby items on shelf
Title:Excel 2016 for Engineering Statistics A Guide to Solving Practical Problems
Author(s): Thomas J Quirk
Date:2016
Size:1 online resource (161 p.)
Note:10.1007/978-3-319-39182-3
Contents:Introduction -- Sample size, mean, standard deviation, standard error of the mean -- Random number generator -- Confidence interval about the mean using the TINV function and hypothesis testing -- One-group t-test for the mean -- Two-group t-test o f the difference of the means for independent groups -- Correlation and simple linear regression -- Multiple correlation and multiple regression -- One-way analysis of variance (ANOVA) -- Appendix A -- Appendix B -- Appendix C -- Appendix D -- Appendix E -- Index
ISBN:9783319391823
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Statistics , Applied mathematics , Engineering mathematics , Statistics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Statistics and Computing/Statistics Programs , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9783319333380:ONLINE Show nearby items on shelf
Title:Optimization of Polynomials in Non-Commuting Variables
Author(s): Sabine Burgdorf
Date:2016
Size:1 online resource (104 p.)
Note:10.1007/978-3-319-33338-0
ISBN:9783319333380
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , System theory , Computer software , Quantum computers , Operations research , Management science , Mathematics , Algebraic Geometry , Quantum Computing , Operations Research, Management Science , Mathematical Software , Systems Theory, Control
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Call number:SPRINGER-2016-9783319321462:ONLINE Show nearby items on shelf
Title:Numerical Simulation in Physics and Engineering Lecture Notes of the XVI 'Jacques-Louis Lions' Spanish-French School
Author(s):
Date:2016
Size:1 online resource (59 p.)
Note:10.1007/978-3-319-32146-2
Contents:1 L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez: An introduction to the numerical analysis of isogeometric methods -- 2 M. Hassell and F.–J. Sayas: Convolution Quadrature for Wave Simulations -- 3 A. Baeza: Mathematical Methods in I mage Processing and Computer Vision -- 4 E. Balsa-Canto, A. A. Alonso, A. Arias-Méndez, M.R. García, A. López-Núñez, M. Mosquera-Fernández, C. Vázquez, and C. Vilas: Modeling and optimization techniques with applications in food processes, bio-proc esses and bio-systems -- 5 J. M. Mantas, M. De la Asunción, and M. J. Castro: An introduction to GPU computing for numerical simulation
ISBN:9783319321462
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SEMA SIMAI Springer Series: 9
Keywords: Mathematics , Computer programming , Image processing , Partial differential equations , Numerical analysis , Mathematical models , Mathematics , Mathematical Modeling and Industrial Mathematics , Numerical Analysis , Partial Differential Equations , Image Processing and Computer Vision , Programming Techniques
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Call number:SPRINGER-2016-9783319303994:ONLINE Show nearby items on shelf
Title:Scientific Computing in Electrical Engineering SCEE 2014, Wuppertal, Germany, July 2014
Author(s):
Date:2016
Size:1 online resource (67 p.)
Note:10.1007/978-3-319-30399-4
Contents:Part I Device Modelling, Electric Circuits and Simulation -- Part II Computational Electromagnetics -- Part III Coupled Problems -- Part IV Model Order Reduction -- Part V Uncertainty Quantification
ISBN:9783319303994
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics in Industry: 23
Keywords: Mathematics , Computer simulation , Computer-aided engineering , Computer mathematics , Mathematical models , Physics , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Computational Science and Engineering , Appl.Mathematics/Computational Methods of Engineering , Computer-Aided Engineering (CAD, CAE) and Design , Simulation and Modeling , Numerical and Computational Physics
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Call number:SPRINGER-2016-9783319300306:ONLINE Show nearby items on shelf
Title:Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models
Author(s): Aslak Tveito
Date:2016
Size:1 online resource (30 p.)
Note:10.1007/978-3-319-30030-6
Contents:Preface -- Background: Contents and Method -- One-dimensional calcium release -- Models of open and state blockers -- Two-dimensional calcium release -- Computing theoretical drugs in the two-dimensional case -- Generalized systems -- Calcium-induc ed calcium release -- Numerical release for CICR -- A prototypical model of an ion channel -- Inactivated ion channels -- A simple model of the sodium channel -- Mutations affecting the mean open time -- The burst mode -- Whole sale action potentials --
ISBN:9783319300306
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Computational Science and Engineering: 111
Keywords: Mathematics , Computer graphics , Computer mathematics , Mathematics , Computational Science and Engineering , Biomedicine general , Computer Imaging, Vision, Pattern Recognition and Graphics
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Call number:SPRINGER-2016-9783319296623:ONLINE Show nearby items on shelf
Title:The Parameterization Method for Invariant Manifolds From Rigorous Results to Effective Computations
Author(s): Àlex Haro
Date:2016
Size:1 online resource (55 p.)
Note:10.1007/978-3-319-29662-3
Contents:An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Va lidated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori
ISBN:9783319296623
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 195
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , Numerical analysis , Statistical physics , Dynamical systems , Mathematics , Dynamical Systems and Ergodic Theory , Statistical Physics, Dynamical Systems and Complexity , Numerical Analysis , Partial Differential Equations
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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-2016-9783319280141:ONLINE Show nearby items on shelf
Title:Advances in Dynamic and Evolutionary Games Theory, Applications, and Numerical Methods
Author(s):
Date:2016
Size:1 online resource (21 p.)
Note:10.1007/978-3-319-28014-1
Contents:Dynamic Games with Perfect Information -- Dynamic Admission Game into an M/M/1 Queue.-Methodological Issues in Analyzing Market Dynamics -- Stochastic Games with Signals -- Nonlinear and Multiplayer Evolutionary Games -- A Zero-Sum Game Between the Network Designer and an Adversary in Consensus Protocols -- Maximal Stable Bridge in Game with Simple Motions in the Plane -- Linear-Quadratic Gaussian Dynamic Games with a Control-Sharing Information Pattern -- Pursuit-Evasion Game of Kind between Hybri d Players -- A Double-Sided Jamming Game with Resource Constraints -- Speculative Constraints on Oligopoly -- Evolutionary Stability of Dimorphic Population States -- A Game-Theoretical Approach to Microbial Coexistence -- Computing α-Robust Equilibria i n Two Integrated Assessment Models for Climate Change -- A Robust Noncooperative Meta-Game for Climate Negotiation in Europe
ISBN:9783319280141
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Annals of the International Society of Dynamic Games : 14
Keywords: Mathematics , Game theory , Applied mathematics , Engineering mathematics , Economic theory , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9783319278360:ONLINE Show nearby items on shelf
Title:Mathematical Modelling
Author(s): Matti Heiliö
Date:2016
Size:1 online resource (13 p.)
Note:10.1007/978-3-319-27836-0
Contents:1 Introduction by S. Pohjolainen and M. Heiliö -- 2 Models and Applications by M. Heiliö -- 3 Viewpoints on Systems and Models by E. Laitinen -- 4 Integer Models by R. Silvennoinen and J. Merikoski -- 5 Data Based Models by J. Merikoski et al -- 6 Soft Computing Methods by E. Turunen et al -- 7 Dimensional Analysis by T. Tiihonen -- 8 Modelling With Differential Equations by J. Tuomela -- 9 Continuum Models by T. Tiihonen -- 10 Simplification of Models by T. Tiihonen -- 11 Acoustic Modelling by S . Pohjolainen and A. Suutala -- 12 Inverse Problems by M. Vauhkonen et al -- 13 Project Titles by M. Heiliö
ISBN:9783319278360
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer simulation , Computer mathematics , Mathematical models , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Appl.Mathematics/Computational Methods of Engineering , Computational Science and Engineering , Simulation and Modeling
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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-2016-9783319246338:ONLINE Show nearby items on shelf
Title:High Performance Computing in Science and Engineering ´15 Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2015
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (71 p.)
Note:10.1007/978-3-319-24633-8
Contents:Preface -- Part I: Physics -- Part II: Molecules, Surfaces, and Solids -- Part III: Bioinformatics -- Part IV: Reacting Flows -- Part V: Computational Fluid Dynamics.- Part VI: Transport and Climate -- Part VII: Miscellaneous Topics
ISBN:9783319246338
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Chemistry, Physical and theoretical , Computer mathematics , Physics , Applied mathematics , Engineering mathematics , Mathematics , Computational Science and Engineering , Theoretical, Mathematical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , Theoretical and Computational Chemistry
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Call number:SPRINGER-2014-9788132219521:ONLINE Show nearby items on shelf
Title:Mathematics and Computing 2013 [electronic resource] : International Conference in Haldia, India
Author(s): Ram N Mohapatra
Debasis Giri
P. K Saxena
P. D Srivastava
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in theirrespective fields, haili ng from around the world. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate, and stimulating the advancement of mathematics and its applications incomputer science. The book will allow aspiri ng researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc.Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. Hence, mathematics and its applications in computer scienceare of vital importance to a broad range of communities, including mathematicians and comput ing professionals across different educational levels and disciplines.
Contents:Chapter 1. Propagation of water waves in the presence of thin vertical barrier on the bottom undulation
Chapter 2. Cryptanalysis of Multilanguage Encryption Techniques
Chapter 3. Signcryption with Delayed Identification
Chapter 4. HDNM8: A Round
8 High Diffusion Block Cipher With Nonlinear Mixing Function
Chapter 5. Frames and Erasures
Chapter 6. Semi
inner Product: Application to Frame Theory and Numerical Range of Operators
Chapter 7. Multi
level Non
Linear Programming Problem With Some Multi
choice Parameter
Chapter 8. A New Class of Rational Cubic Fractal Splines for U
ISBN:9788132219521
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v91
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science
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Call number:SPRINGER-2014-9783658044763:ONLINE Show nearby items on shelf
Title:A Direct Method for Parabolic PDE Constrained Optimization Problems [electronic resource]
Author(s): Andreas Potschka
Date:2014
Publisher:Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum
Size:1 online resource
Note:Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, thisapproach automatically com putes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact SequentialQuadratic Programming method that exploits the mat hematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineeringseparation problem. Contents Parabolic PDE Constrained Optimization Problems Two-Grid Newton-Picard Inexact SQP Structure Exploiting Solution of QPs Applications and Numerical Results Target Groups Researchers and students in the fields of mathematics, information systems, and scientific computing Users with PDE constrainedo ptimization problems, in particular in (bio-)chemical engineering The Author Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h.c. Hans Georg Bock at theInterdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control
Contents:Parabolic PDE Constrained Optimization Problems
Two
Grid Newton
Picard Inexact SQP
Structure Exploiting Solution of QPs
Applications and Numerical Results
ISBN:9783658044763
Series:eBooks
Series:SpringerLink
Series:Advances in Numerical Mathematics, 1616-2994
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Biochemical engineering , Differential equations, partial , Mathematical optimization
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Call number:SPRINGER-2014-9783642549595:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python [electronic resource]
Author(s): Hans Petter Langtangen
Date:2014
Edition:4th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics,numerical calculus, st atistics, physics, biology and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageousto study classical and numerical one-variable c alculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of scienceand engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objectsand functions and embracing the object-oriented paradigm. Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python on the streets could be alittle jealous of students who have the opportunity to take a course out of Langtangens Primer. John D. Cook, The Mathematical Association of Am erica, September 2011 This book goes through Python in particular, and programmingin general, via tasks that scientists will likely perform. It contains valuable informationfor students new to scientific computing and would be the perfect bridge between a n introduction to programming and an advanced course onnumerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012
Contents:Preface
Computing with Formulas
Loops and Lists
Functions and Branching
User Input and Error Handling
Array Computing and Curve Plotting
Dictionaries and Strings
Introduction to Classes
Random Numbers and Simple Games
Object
Oriented Programming
Sequences and Difference Equations
Introduction to Discrete Calculus
Introduction to Differential Equations
A Complete Differential Equation Project
Programming of Differential Equations
Debugging
Migrating Python to Compiled Code
Technical Topics
Bibliography
Index
ISBN:9783642549595
Series:eBooks
Series:SpringerLink
Series:Texts in Computational Science and Engineering, 1611-0994 : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Software engineering , Computer science
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Call number:SPRINGER-2014-9783642543012:ONLINE Show nearby items on shelf
Title:Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data [electronic resource]
Author(s): Carl-Fredrik Westin
Anna Vilanova
Bernhard Burgeth
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emergingfield. Topics covered rang e from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensorfields in engineering, discusses the current sta te of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs. The second Part, Representation and Processing of Higher-orderDescriptors, describes a matrix representation of local phase, outlines ma thematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI. Part III,Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to mode l and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging(DKI). A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a nove l perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, exploresthe free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research. The last P art, Applications of Tensor Processing, discusses metric and curvature tensors, two of themost studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion M RI data. The last chapter presents an interactive system integratingthe visual analysis of diffusion MRI tractography with data from electroencephalography
Contents:Part I: Tensor Data Visualization: Top Challenges in the Visualization of Engineering Tensor Fields: M Hlawitschka et al
Tensor Invariants and Glyph Design: A. Kratz et al
Part II: Representation and Processing of Higher
order Descriptors: Monomial Phase: A Matrix Representation of Local Phase: H. Knutsson et al
Order Based Morphology for Colour Images via Matrix Fields: B. Burgeth et al
Sharpening Fibers in Diffusion Weighted MRI via Erosion: T.C.J. Dela Haije et al
Part III: Higher Order Tensors and Riemannian
Finsler Geometry: Higher
Order Tensors in Diffusion Imaging: Th
ISBN:9783642543012
Series:eBooks
Series:SpringerLink
Series:Mathematics and Visualization, 1612-3786
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Computer graphics , Differential equations, partial , Visualization , Global differential geometry
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Call number:SPRINGER-2014-9783642453670:ONLINE Show nearby items on shelf
Title:Scientific Computing with MATLAB and Octave [electronic resource]
Author(s): Alfio Quarteroni
Fausto Saleri
Paola Gervasio
Date:2014
Edition:4th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros,the extrema, and the i ntegrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make theformat concrete and appealing, the programmin g environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from importantapplications. At the end of each chapter, a specific section is devot ed to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review:.... This carefully written textbook, the third English edition, contains substantial new devel opments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited forreaders who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject. Roberto Plato (Siegen), Zentralblatt MATH 1205.65002
Contents:1. What can' t be ignored
2. Nonlinear equations
3. Approximation of functions and data
4. Numerical differentiation and integration
5. Linear systems
6. Eigenvalues and eigenvectors
7. Numerical optimization
8. Ordinary differential equations
9. Numerical approximation of boundary
value problems
10. Solutions of the exercises
References
Index
ISBN:9783642453670
Series:eBooks
Series:SpringerLink
Series:Texts in Computational Science and Engineering, 1611-0994 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Computer science , Visualization , Engineering
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Call number:SPRINGER-2014-9783642405495:ONLINE Show nearby items on shelf
Title:Classical Trajectory Perspective of Atomic Ionization in Strong Laser Fields [electronic resource] : Semiclassical Modeling
Author(s): Jie Liu
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The ionization of atoms and molecules in strong laser fields is an active field in modern physics and has versatile applications in such as attosecond physics, X-ray generation, inertial confined fusion (ICF), medical science andso on. Classical Traj ectory Perspective of Atomic Ionization in Strong Laser Fields covers the basic concepts in this field and discusses many interesting topics using the semiclassical model of classical trajectory ensemblesimulation, which is one of the most successful ioni zation models and has the advantages of a clear picture, feasible computing and accounting for many exquisite experiments quantitatively. The book also presents many applications ofthe model in such topics as the single ionization, double ionization, neut ral atom acceleration and other timely issues in strong field physics, and delivers useful messages to readers with presenting the classical trajectoryperspective on the strong field atomic ionization. The book is intended for graduate students and resear chers in the field of laser physics, atom molecule physics and theoretical physics. Dr. Jie Liu is a professor of Institute ofApplied Physics and Computational Mathematics, China and Peking University
Contents:Tunneling ionization and classical trajectory model
Single ionization in strong laser fields
Double ionization in strong laser fields
Partition of the linear photon momentum in atomic tunneling ionization
Acceleration of neutral atoms with polarized intense laser fields
Atomic ionization in relativistic intense laser fields
ISBN:9783642405495
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Physics, 2191-5423
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2014-9783642405235:ONLINE Show nearby items on shelf
Title:An Introduction to Markov Processes [electronic resource]
Author(s): Daniel W Stroock
Date:2014
Edition:2nd ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including studentsfrom engineering, econ omics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes.Applications are dispersed throughout the book. In addition, a whole chapter isdevoted to reversible processes and the use of thei r associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm.The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing isthe section with a new technique for computing stationarymeasures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for span ning trees in a connected graph
Contents:Preface
Random Walks, a Good Place to Begin
Doeblin's Theory for Markov Chains
Stationary Probabilities
More about the Ergodic Theory of Markov Chains
Markov Processes in Continuous Time
Reversible Markov Processes
A minimal Introduction to Measure Theory
Notation
References
Index
ISBN:9783642405235
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Mathematics, 0072-5285 : v230
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319081298:ONLINE Show nearby items on shelf
Title:Tychastic Measure of Viability Risk [electronic resource]
Author(s): Jean-Pierre Aubin
Luxi Chen
Olivier Dordan
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book presents a forecasting mechanism of the price intervals for deriving the SCR (solvency capital requirement) eradicating the risk during the exercise period on one hand, and measuring the risk by computing the hedgingexit time function assoc iating with smaller investments the date until which the value of the portfolio hedges the liabilities on the other. This information, summarized under the term tychastic viability measure of risk is anevolutionary alternative to statistical measures, whe n dealing with evolutions under uncertainty. The book is written by experts in the field and the target audience primarily comprises research experts and practitioners
Contents:Part I Description, Illustration and Comments of the Results
The Viabilist Portfolio Performance and Insurance Approach
Technical and Quantitative Analysis of Tubes
Uncertainty on Uncertainties
Part II Mathematical Proofs
Why Viability Theory? A Survival Kit
General Viabilist Portfolio Performance and Insurance Problem
ISBN:9783319081298
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319068206:ONLINE Show nearby items on shelf
Title:Dynamical Systems with Applications using MATLAB [electronic resource]
Author(s): Stephen Lynch
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applicationsand simulation utilizi ng MATLAB, Simulink, the Image Processing Toolbox, and the Symbolic Math Toolbox, including MuPAD. Features new to the second edition include sections on series solutions ofordinary differential equations, perturbation methods, normal forms, Grbner bas es, and chaos synchronization chapters on image processing and binary oscillator computing hundreds of newillustrations, examples, and exercises with solutions and over eighty up-to-date MATLAB program files and Simulink model files available online. T hese files were voted MATLAB Central Pick of the Week in July2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It w ill appeal to advanced undergraduateand graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and phy sics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamicalsystems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown thatthis method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend Dynamical Syst ems with App
Contents:Preface
A Tutorial Introduction to MATLAB
Linear Discrete Dynamical Systems
Nonlinear Discrete Dynamical Systems
Complex Iterative Maps
Electromagnetic Waves and Optical Resonators
Fractals and Multifractals
The Image Processing Toolbox
Differential Equations
Planar Systems
Interacting Species
Limit Cycles
Hamiltonian Systems, Lyapunov Functions, and Stability
Bifurcation Theory
Three
Dimensional Autonomous Systems and Chaos
Poincar Maps and Nonautonomous Systems in the Plane
Local and Global Bifurcations
The Second Part of Hilbert's Sixte
ISBN:9783319068206
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Engineering mathematics
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Call number:SPRINGER-2014-9783319056845:ONLINE Show nearby items on shelf
Title:Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects [electronic resource] : FVCA 7, Berlin, June 2014
Author(s): Jrgen Fuhrmann
Mario Ohlberger
Christian Rohde
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The first volume of the proceedings of the 7th conference on Finite Volumes for Complex Applications (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of thesemethods from the point of view o f compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis offinite volume and related methods. Altogether, a rather co mprehensive overview is given of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differentialequations based on the fundamental physical principle of conservation. Recent dec ades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative orasymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptot ic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods,which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscaleapplications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numericalmodeling and simulations
Contents:Part I Invited contributions. P. Bochev: Compatible Discretizations for Partial Differential Equations
F. Bouchu: Finite Volume Methods for Shallow Water Equations, Hyperbolic Equations, Magnetohydrodynamics
C. Chainais
Hillairet: Finite Volume Methods for Drift
Diffusion Equations
M. Dumbser: High Order One
Step AMR and ALE Methods for Hyperbolic PDE
P. Helluy: Compressible Multiphase Flows
K. Mikula: Finite Volumes in Image Processing and Groundwater Flow
S. Mishra: Finite Volume Methods for Conservation Laws, Uncertainty Quantification
Part II Theoretical aspects of Fin
ISBN:9783319056845
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v77
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Differential equations, partial , Numerical analysis
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Call number:SPRINGER-2014-9783319055916:ONLINE Show nearby items on shelf
Title:Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems [electronic resource] : FVCA 7, Berlin, June 2014
Author(s): Jrgen Fuhrmann
Mario Ohlberger
Christian Rohde
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The methods considered in the 7th conference on Finite Volumes for Complex Applications (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedingscovers reviewed contribution s reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its variousforms is a space discretization technique for pa rtial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method.Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methodsbelong to the wider class of compatible discretization methods, which preserve qualitative prop erties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equationsbecomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students i n numerical analysis, scientific computing and related fields such as partial differential equations will findthis volume useful, as will engineers working in numerical modeling and simulations
ISBN:9783319055916
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v78
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Differential equations, partial , Numerical analysis
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Call number:SPRINGER-2014-9783319054551:ONLINE Show nearby items on shelf
Title:High Order Nonlinear Numerical Schemes for Evolutionary PDEs [electronic resource] : Proceedings of the European Workshop HONOM 2013, Bordeaux, France, March 18-22, 2013
Author(s): Rmi Abgrall
Hlose Beaugendre
Pietro Marco Congedo
Ccile Dobrzynski
Vincent Perrier
Mario Ricchiuto
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013. The centraltopic is high order me thods for compressible fluid dynamics. In the workshop, and in this proceedings, greater emphasis is placed on the numerical than the theoretical aspects of this scientific field. The range of topics is broad,extending through algorithm design, accuracy, large scale computing, complex geometries, discontinuous Galerkin, finite element methods, Lagrangian hydrodynamics, finite difference methods and applications and uncertaintyquantification. These techniques find practical applications in such fields as f luid mechanics, magnetohydrodynamics, nonlinear solid mechanics, and others for which genuinely nonlinear methods are needed
Contents:Highorder AsymptoticPreserving methods for nonlinear relaxation from hyperbolic systems to convectiondiffusion equations
A hybrid finite difference
WENO scheme for large eddy simulation of compressible flows
Finite volume formulation of a third
order residual
based compact scheme for unsteady flow computations
Parallel implementation of k
exact Finite Volume Reconstruction on Unstructured Grids
3D Application of Higher Order Multigrid Algorithms for a RANS
kw DG
Solver
Taylor expansion method for linear lattice Boltzmann schemes with an external force. Application to bo
ISBN:9783319054551
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Computational Science and Engineering, 1439-7358 : v99
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Computer science Mathematics
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Call number:SPRINGER-2014-9783319047201:ONLINE Show nearby items on shelf
Title:Applications of Mathematics and Informatics in Science and Engineering [electronic resource]
Author(s): Nicholas J Daras
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference heldin April 2013 at the He llenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineeringsciences. It is also presents the theoretical backgr ound required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted. This bookwill appeal to operations research analysts, engineers, community decision m akers, academics, the military community, practitioners sharing the current state-of-the-art, and analysts from coalition partners. Topics coveredinclude Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis
Contents:Parametric Design and Optimization of Multi
Rotor Aerial Vehicles (C. Ampatis, E. Papadopoulos)
Scattering Relations for a Multi
Layered Chiral Scatterer in an Achiral Environment (C. Athanasiadis, E. Athanasiadou, S. Dimitroula, E. Kikeri)
Almost Periodic Solutions of NavierStokesOhm Type Equations in Megneto
Hydrodynamics (E.S. Athanasiadou, V.F. Dionysatos, P.N. Koumantos, P.K. Pavlakos)
Admission Control Policies in a Finite Capacity Geo/Geo/1 Queue under Partial State Observations (A. Burnetas, Ch. Kokaliaris)
Error Bounds for Trapezoid Type Quadrature Rules with Applica
ISBN:9783319047201
Series:eBooks
Series:SpringerLink
Series:Springer Optimization and Its Applications, 1931-6828 : v91
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Number theory , Mathematical optimization , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319043258:ONLINE Show nearby items on shelf
Title:Scientific Computing - An Introduction using Maple and MATLAB [electronic resource]
Author(s): Walter Gander
Martin J Gander
Felix Kwok
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical andsymbolic/algebraic computations and vi sualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of manyscientific codes we explain both the theory behind these algori thms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple Maple isoften used to derive numerical algorithms, whereas Matlab is used to implement them. The t heory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples andproblems to help readers understand the material hands-on
Contents:Why Study Scientific Computing?
Finite Precision Arithmetic
Linear Systems of Equations
Interpolation
Nonlinear Equations
Least Squares Problems
Eigenvalue Problems
Differentiation
Quadrature
Numerical Ordinary Differential Equations
Iterative Methods for Linear Systems
Optimization
Bibliography
Index
ISBN:9783319043258
Series:eBooks
Series:SpringerLink
Series:Texts in Computational Science and Engineering, 1611-0994 : v11
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Algorithms , Computer science , Computer software , Numerical analysis
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Call number:SPRINGER-2014-9783319038865:ONLINE Show nearby items on shelf
Title:Superconcentration and Related Topics [electronic resource]
Author(s): Sourav Chatterjee
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:A certain curious feature of random objects, introduced by the author as super concentration, and two related topics, chaos and multiple valleys, are highlighted in this book. Although super concentration hasestablished itself as a recognized feature in a number of areas of probability theory in the last twenty years (under a variety of names), the author was the first to discover and explore its connections with chaos and multiplevalleys. He achieves a substantial degree of simplification and clarit y in the presentation of these findings by using the spectral approach. Understanding the fluctuations of random objects is one of the major goals of probabilitytheory and a whole subfield of probability and analysis, called concentration of measure, is d evoted to understanding these fluctuations. This subfield offers a range of tools for computing upper bounds on the orders of fluctuations ofvery complicated random variables. Usually,concentration of measure is useful when more direct problem-specific ap proaches fail as a result, it has massively gained acceptance over the last forty years. And yet, there is a largeclass of problems in which classical concentration of measure produces suboptimal bounds on the order of fluctuations. Here lies the substant ial contribution of this book, which developed from a set of six lectures the author firstheld at the Cornell Probability Summer School in July 2012. The book is interspersed with a sizable number of open problems for professional mathematicians as well a s exercises for graduate students working in the fields of probabilitytheory and mathematical physics. The material is accessible to anyone who has attended a graduate course in probability
Contents:Preface
1.Introduction
2.Markov semigroups
3.Super concentration and chaos
4.Multiple valleys
5.Talagrands method for proving super concentration
6.The spectral method for proving super concentration
7.Independent flips
8.Extremal fields
9.Further applications of hypercontractivity
10.The interpolation method for proving chaos
11.Variance lower bounds
12.Dimensions of level sets
Appendix A. Gaussian random variables
Appendix B. Hypercontractivity
Bibliography
Indices
ISBN:9783319038865
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319038476:ONLINE Show nearby items on shelf
Title:Computations with Modular Forms [electronic resource] : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011
Author(s): Gebhard Bckle
Gabor Wiese
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of theConference and Summer School was the interplay between theory, algorithms and experiment. The 14 papers offer readers both, instructional courses on the latest algorithms for computing modular and automorphic forms, as well as originalresearch articles reporting on the latest develop ments in the field. The three Summer School lectures provide an introduction to modern algorithms together with some theoretical background for computations of and with modular forms,including computing cohomology of arithmetic groups, algebraic automorph ic forms, and overconvergent modular symbols. The 11 Conference papers cover a wide range of themes related to computations with modular forms, including latticemethods for algebraic modular forms on classical groups, a generalization of the Maeda conject ure, an efficient algorithm for special values of p-adic Rankin triple product L-functions, arithmetic aspects and experimental data ofBianchi groups, a theoretical study of the real Jacobian of modular curves, results on computing weight one modular form s, and more
Contents:Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells
Computing with Algebraic Automorphic Forms by D. Loeffler
Overconvergent Modular Symbols by R. Pollack
Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Arans
Computing Weight One Modular Forms over C and Fp by K. Buzzard
Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight
Efficient Computation of Rankin p
Adic L
Functions by A.G.B. Lauder
Formes Modu
ISBN:9783319038476
Series:eBooks
Series:SpringerLink
Series:Contributions in Mathematical and Computational Sciences, 2191-303X : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry, algebraic , Algorithms , Number theory
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Call number:SPRINGER-2014-9783319020907:ONLINE Show nearby items on shelf
Title:Reduced Order Methods for Modeling and Computational Reduction [electronic resource]
Author(s): Alfio Quarteroni
Gianluigi Rozza
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasison real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications inengineering data assimilation, geometry registr ation, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics real-time visualization of physics-based simulations incomputer science the treatment of high-dimensional problems in state s pace, physical space, or parameter space the interactions between different model reduction and dimensionality reduction approaches the development of generalerror estimation frameworks which take into account both model and discretization effects. This b ook is primarily addressed to computational scientists interested in computational reduction techniques for large scale differentialproblems
Contents:1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems
2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced
Basis and the Loewner Framework
3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations
4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System
5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization
6 P. Benner, L. Feng:
ISBN:9783319020907
Series:eBooks
Series:SpringerLink
Series:MS&A - Modeling, Simulation and Applications, 2037-5255 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Computer science Mathematics , Engineering mathematics , Materials
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Call number:SPRINGER-2014-9783319015897:ONLINE Show nearby items on shelf
Title:Non-commutative Multiple-Valued Logic Algebras [electronic resource]
Author(s): Lavinia Corina Ciungu
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras a subject which has attracted much interest in the past few years because of its impact on informationscience, artificial intelli gence and other subjects. A study of the newest results in the field, the monograph includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices,pseudo-MTL algebras, pseudo-BL algebras and pseudo-MV algebras. It provides a fresh perspective on new trends in logic and algebrasin thatalgebraic structures can be developed into fuzzy logics which connect quantum mechanics,mathematical logic, probability theory, algebra and soft computing. Written in a c lear, concise and direct manner, Non-Commutative Multiple-Valued Logic Algebras will be of interest to masters and PhD students, as well asresearchers in mathematical logic and theoretical computer science
Contents:Pseudo
BCK algebras
Pseudo
hoops
Residuated lattices
Other non
commutative multiple
valued logic algebras
Classes of non
commutative residuated structures
States on multiple
valued logic algebras
Measures on pseudo
BCK algebras
Generalized states on residuated structures
Pseudo
hoops with internal states
ISBN:9783319015897
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Logic, Symbolic and mathematical , Distribution (Probability theory)
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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-2014-9781493904761:ONLINE Show nearby items on shelf
Title:Topical Directions of Informatics [electronic resource] : In Memory of V. M. Glushkov
Author(s): Ivan V Sergienko
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This work is devoted to the late Ukrainian computer scientist V. M. Glushkov on the 90th anniversary of his birthday. Dr. Glushkov is known for his contribution to the world computer science and technology, and this volumeanalyzes the ideas and paths of development of informatics formulated by him, and demonstrates their important role in constructing computer technologies of basic research in the fields of applied mathematics, theories of computerprogramming, and computing systems. A significant po rtion of the monograph is devoted to the elucidation of new results obtained in the field of mathematical modeling of complicated processes, creation of new methods for solvingand investigating optimization problems in different statements, and developmen t of computer technologies for investigations in the field of economy, biology, medicine, and information security in systems. The monograph will be ofparticular interest to informatics specialists and experts using methods of informatics and computer te chnologies to investigate complicated processes of different natures and developing new information technologies. It may also beuseful for both graduate students and postgraduates specializing in Computer Science
Contents:Introduction
1. Theoretical and Applied Programming
2. Supercomputers and Intelligent Technologies of High
Performance Computing
3. Computer Technologies as Tools for Studying Complicated Processes
4. Mathematical Models and Computer Technologies in Investigating Economic Processes
5. Mathematical Modeling and Investigation of Complicated Processes
6. Optimization Methods for Solving Transcomputational Problems
7. Combinatorial Optimization Problems
8. Computer Technologies in Medical and Biological Research
ISBN:9781493904761
Series:eBooks
Series:SpringerLink
Series:Springer Optimization and Its Applications, 1931-6828 : v78
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2014-9781461483793:ONLINE Show nearby items on shelf
Title:Theory of Fuzzy Computation [electronic resource]
Author(s): Apostolos Syropoulos
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and features the basic ideas of computability theory. It then presents the various approaches to fuzzycomputability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and includes all proofs tomake the presentation accessible. Ideas for future rese arch and explorations are also provided. Students and researchers in computer science and mathematics will benefit from this work
Contents:Introduction
A Prcis of Classical Computability Theory
Elements of Fuzzy Set Theory
On Fuzzy Turing Machines
Other Fuzzy Models of Computation
Appendix A: Computing with Words
Appendix B: The Rough Sets Approach
References
Subject Index
Name Index
ISBN:9781461483793
Series:eBooks
Series:SpringerLink
Series:IFSR International Series on Systems Science and Engineering, 1574-0463 : v31
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Computer science Mathematics
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Call number:SPRINGER-2014-9781461479468:ONLINE Show nearby items on shelf
Title:Calculus With Applications [electronic resource]
Author(s): Peter D Lax
Maria Shea Terrell
Date:2014
Edition:2nd ed. 2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physicalsciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings theinnovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is morenatural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers andcomplex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an intro duction to probability and information theory
Contents:1 Numbers and Limits
2 Functions and Continuity
3 The Derivative and Differentiation
4 The Theory of Differentiable Functions
5 Applications of the Derivative
6 Integration
7 Methods for Integration
8 Approximation of Integrals
9 Complex Numbers
10 Differential Equations
11 Probability
Answers to Selected Problems
Index
ISBN:9781461479468
Series:eBooks
Series:SpringerLink
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
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Call number:SPRINGER-2013-9788847028920:ONLINE Show nearby items on shelf
Title:Computing Qualitatively Correct Approximations of Balance Laws [electronic resource] : Exponential-Fit, Well-Balanced and Asymptotic-Preserving
Author(s): Laurent Gosse
Date:2013
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock waveformation. Such a dissipat ion property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex waveinteractions. An overall weaker dissipation ca n reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunov-type schemes, low-order errors propagatingalong expanding characteristics after having hit a discontinuity, e xponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimescalled well-balanced, numerical schemes which succeed in reconciling high accuracy with a s tronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balancelaws, such as arising from quasi-one dimensional nozzle flow computations, multiphase WKB approximation of linear Schrdinger equations, or gravitational Navier-Stokes systems. Stability results for viscosity solutions ofonedimensional balance laws are sketched. The other being entirely devoted to the treatment of weakly nonlinear kinetic equations in the discrete or dinate approximation, such as the ones of radiative transfer, chemotaxis dynamics,semiconductor conduction, spray dynamics of linearized Boltzmann models. Caseology is one of the main techniques used in these derivations. Lagrangian techniques for filtrat ion equations are evoked too. Two-dimensional methodsare studied in the context of non-degenerate semiconductor models
Note:Springer eBooks
Contents:Introduction and chronological perspective
Lifting a non
resonant scalar balance law
Lyapunov functional for linear error estimates
Early well
balanced derivations for various systems
Viscosity solutions and large
time behavior for non
resonant balance laws
Kinetic scheme with reflections and linear geometric optics
Material variables, strings and infinite domains
The special case of 2
velocity kinetic models
Elementary solutions and analytical discrete
ordinates for radiative transfer
Aggregation phenomena with kinetic models of chemotaxis dynamics
Time
stabiliza
ISBN:9788847028920
Series:e-books
Series:SpringerLink (Online service)
Series:SIMAI Springer Series, 2280-840X : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Computer science Mathematics , Engineering mathematics
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Call number:SPRINGER-2013-9783642333743:ONLINE Show nearby items on shelf
Title:High Performance Computing in Science and Engineering 12 [electronic resource] : Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2012
Author(s): Wolfgang E Nagel
Dietmar H Krner
Michael M Resch
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:Springer eBooks
ISBN:9783642333743
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Computer science , Engineering mathematics
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Call number:SPRINGER-2013-9783642324543:ONLINE Show nearby items on shelf
Title:Sustained Simulation Performance 2012 [electronic resource] : Proceedings of the joint Workshop on High Performance Computing on Vector Systems, Stuttgart (HLRS), and Workshop on Sustained Simulation Performance, TohokuUniversity, 2012 / edited by M ichael M. Resch, Xin Wang, Wolfgang Bez, Erich Focht, Hiroaki Kobayashi
Author(s): Michael M Resch
Xin Wang
Wolfgang Bez
Erich Focht
Hiroaki Kobayashi
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:The book presents the state of the art in high performance computing and simulation on modern supercomputer architectures. It covers trends in hardware and software development in general and specifically the future of highperformance systems and het erogeneous architectures. The application contributions cover computational fluid dynamics, material science, medical applications and climate research. Innovative fields like coupled multi-physics ormulti-scale simulations are presented. All papers were chosen from presentations given at the 14th Teraflop Workshop held in December 2011 at HLRS, University of Stuttgart, Germany and the Workshop on Sustained Simulation Performanceat Tohoku University in March 2012
Note:Springer eBooks
Contents:Exascale Computing
New Challenges in Software and Hardware
Techniques and Tools for New
Generation Computing Systems
Earthquake Modeling and Simulation on High Performance Computing Systems
Computational Engineering Applications and Coupled Multi
Physics Simulations
ISBN:9783642324543
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Computer science , Engineering mathematics , Hydraulic engineering
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Call number:SPRINGER-2013-9783642317941:ONLINE Show nearby items on shelf
Title:Foundations of Geometric Algebra Computing [electronic resource]
Author(s): Dietmar Hildenbrand
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:The author defines Geometric Algebra Computing as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay thefoundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometricalgebra as a 5D extension of the 4D projective geometric alg ebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometricalgebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations in Part II he explains the interactive handling ofgeometric algebra and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book iswritten in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computationalengineering, and mathematics
Note:Springer eBooks
Contents:Chap. 1 Introduction
Chap. 2 Mathematical Introduction
Chap. 3 The Conformal Geometric Algebra
Chap. 4 Maple and the Identification of Quaternions and Other Algebras
Chap. 5 Fitting of Planes or Spheres into Point Sets
Chap. 6 Geometric Algebra Tutorial Using CLUCalc
Chap. 7 Inverse Kinematics of a Simple Robot
Chap. 8 Robot Grasping an Object
Chap. 9 Efficient Computer Animation Application in CGA
Chap. 10 Using Gaalop for Performant Geometric Algebra Computing
Chap. 11 Collision Detection Using the Gaalop Precompiler
Chap. 12 Gaalop Precompiler for GPGPUs
ISBN:9783642317941
Series:e-books
Series:SpringerLink (Online service)
Series:Geometry and Computing, 1866-6795 : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Computer science , Computer vision , Geometry , Engineering mathematics
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Call number:SPRINGER-2013-9783642310461:ONLINE Show nearby items on shelf
Title:Space-Filling Curves [electronic resource] : An Introduction with Applications in Scientific Computing
Author(s): Michael Bader
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:The present book provides an introduction to using space-filling curves (SFC) as tools in scientific computing. Special focus is laid on the representation of SFC and on resulting algorithms. For example, grammar-basedtechniques are introduced for tr aversals of Cartesian and octree-type meshes, and arithmetisation of SFC is explained to compute SFC mappings and indexings. The locality properties of SFC are discussed in detail, together with theirimportance for algorithms. Templates for parallelisatio n and cache-efficient algorithms are presented to reflect the most important applications of SFC in scientific computing. Special attention is also given to the interplay ofadaptive mesh refinement and SFC, including the structured refinement of triangula r and tetrahedral grids. For each topic, a short overview is given on the most important publications and recent research activities
Note:Springer eBooks
Contents:Two Motivating Examples
How to Construct Space
Filling Curves
Grammar
Based Description of Space
Filling Curves
Arithmetic Representation of Space
Filling Curves
Approximating Polygons
Sierpinski Curves
Further Space
Filling Curves
Space
Filling Curves in 3D
Refinement Trees and Space
Filling Curves
Parallelisation with Space
Filling Curves
Locality Properties of Space
Filling Curves
Sierpinski Curves on Triangular and Tetrahedral Meshes
Case Study: Cache Efficient Algorithms for Matrix Operations
Case Study: Numerical Simulation on Spacetree Grids Using
ISBN:9783642310461
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Computational Science and Engineering, 1611-0994 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algorithms
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Call number:SPRINGER-2013-9783642309045:ONLINE Show nearby items on shelf
Title:Advances in Network Analysis and its Applications [electronic resource]
Author(s): Evangelos Kranakis
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:As well as highlighting potentially useful applications for network analysis, this volume identifies new targets for mathematical research that promise to provide insights into network systems theory as well as facilitating thecross-fertilization of ideas between sectors. Focusing on financial, security and social aspects of networking, the volume adds to the growing body of evidence showing that network analysis has applications to transportation,communication, health, finance, and social policy mor e broadly. It provides powerful models for understanding the behavior of complex systems that, in turn, will impact numerous cutting-edge sectors in science and engineering, such aswireless communication, network security, distributed computing and social networking, financial analysis, and cyber warfare. The volume offers an insider' s view of cutting-edge research in network systems, including methodologieswith immense potential for interdisciplinary application. The contributors have all presented mate rial at a series of workshops organized on behalf of Canadas MITACS initiative, which funds projects and study grants inmathematics for information technology and complex systems. These proceedings include papers from workshops on financial networks, netw ork security and cryptography, and social networks. MITACS has shown that the partlyghettoized nature of network systems research has led to duplicated work in discrete fields, and thus this initiative has the potential to save time and accelerate the pac e of research in a number of areas of network systemsresearch
Note:Springer eBooks
Contents:FINANCIAL NETWORKS: 1. Mathematical modeling of systemic risk: H. Amini, A. Minca
2. Systemic risk in banking networks without Monte Carlo simulation: J. P. Gleeson, T. R. Hurd, S. Melnik, A. Hackett
3. Systemic Valuation of Banks Interbank Equilibrium and Contagion: G. Haaj
4. An Open Problem: J. B. Walsh
II SECURITY NETWORKS: 5. Dynamic Trust Management: Network Profiling for High Assurance Resilience: M. Burmester , W. O. Redwood
6. Security Issues in Link State Routing Protocols for MANETs: G.Cervera, M.Barbeau, J. Garcia
Alfaro, E.Kranakis
7. TCHo: a Code
bas
ISBN:9783642309045
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics in Industry, 1612-3956 : v18
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer Communication Networks , Bioinformatics , Computer engineering , Industrial organization (Economic theory)
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Call number:SPRINGER-2013-9783642303678:ONLINE Show nearby items on shelf
Title:Model Based Parameter Estimation [electronic resource] : Theory and Applications
Author(s): Hans Georg Bock
Thomas Carraro
Willi Jger
Stefan Krkel
Rolf Rannacher
Johannes P Schlder
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 judicious selection of articles combines mathematical and numerical methods to apply parameter estimation and optimum experimental design in a range of contexts. These include fields as diverse as biology, medicine,chemistry, environmental physi cs, image processing and computer vision. The material chosen was presented at a multidisciplinary workshop on parameter estimation held in 2009 in Heidelberg. The contributions show how indispensableefficient methods of applied mathematics and computer-b ased modeling can be to enhancing the quality of interdisciplinary research. The use of scientific computing to model, simulate, and optimize complex processes has become astandard methodology in many scientific fields, as well as in industry. Demonstrat ing that the use of state-of-the-art optimization techniques in a number of research areas has much potential for improvement, this book providesadvanced numerical methods and the very latest results for the applications under consideration
Note:Springer eBooks
Contents:Parameter Estimation and Optimum Experimental Design for Differential Equation Models: H.G. Bock, St. Krkel, J.P. Schlder
Adaptive Finite Element Methods for Parameter Identification Problems: B. Vexler
Gauss
Newton Methods for Robust Parameter Estimation: T. Binder, E. Kostina
An Optimal Scanning Sensor Activation Policy for Parameter Estimation of Distributed Systems: D. Ucnski
Interaction between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway: E. Friedmann, A. C. Pfeifer, R. Neumann, U. Klingmller , R. Rannacher
The Importan
ISBN:9783642303678
Series:e-books
Series:SpringerLink (Online service)
Series:Contributions in Mathematical and Computational Sciences, 2191-303X : v4
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Computer science , Numerical analysis , Mathematical optimization
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Call number:SPRINGER-2013-9783642280214:ONLINE Show nearby items on shelf
Title:Scientific Computing and Cultural Heritage [electronic resource] : Contributions in Computational Humanities
Author(s): Hans Georg Bock
Willi Jger
Michael J Winckler
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:The sheer computing power of modern information technology is changing the face of research not just in science, technology and mathematics, but in humanities and cultural studies too. Recent decades have seen a major shift bothin attitudes and deplo yment of computers, which are now vital and highly effective tools in disciplines where they were once viewed as elaborate typewriters. This revealing volume details the vast array of computing applications thatresearchers in the humanities now have recou rse to, including the dissemination of scholarly information through virtual co-laboratories, data retrieval, and the modeling of complex processes that contribute to our natural andcultural heritage. One key area covered in this book is the versatility o f computers in presenting images and graphics, which is transforming the analysis of data sets and archaeological reconstructions alike. The papers publishedhere are grouped into three broad categories that cover mathematical and computational methods, r esearch developments in information systems, and a detailed portrayal of ongoing work on documenting, restoring and presenting culturalmonuments including the temples in Pompeii and the Banteay Chhmar temples of the Angkorian period in present-day Cambodi a. Originally presented at a research workshop in Heidelberg, Germany, they reflect the rapidly developing identityof computational humanities as an interdisciplinary field in its own right, as well as demonstrating the breadth of perspectives in this you ng and vibrant research area
Note:Springer eBooks
Contents:I. Development of Scientific Computing Methods
II. Information
Based Research
III. Case Studies & Applications
ISBN:9783642280214
Series:e-books
Series:SpringerLink (Online service)
Series:Contributions in Mathematical and Computational Sciences, 2191-303X : v3
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Information systems , Architecture
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Call number:SPRINGER-2013-9783319008851:ONLINE Show nearby items on shelf
Title:Uncertainty Quantification in Computational Fluid Dynamics [electronic resource]
Author(s): Hester Bijl
Didier Lucor
Siddhartha Mishra
Christoph Schwab
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flowuncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkinmethods and modified versions of the stochastic collocatio n methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such asflows around aerofoils and rockets, problems of aeroelasticity (fluid-structure int eractions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposedmethod as well as comparisons of different approaches
Note:Springer eBooks
Contents:Timothy Barth: Non
Intrusive Uncertainty Propagation with Error Bounds for Conservation Laws Containing Discontinuities
Philip Beran and Bret Stanford: Uncertainty Quantification in Aeroelasticity
Bruno Desprs, Gal Potte and Didier Lucor: Robust uncertainty propagation in systems of conservation laws with the entropy closure method
Richard P. Dwight, Jeroen A.S. Witteveen and Hester Bijl: Adaptive Uncertainty Quantification for Computational Fluid Dynamics
Chris Lacor, Cristian Dinescu, Charles Hirsch and Sergey Smirnov: Implementation of intrusive Polynomial Chaos in CFD cod
ISBN:9783319008851
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Computational Science and Engineering, 1439-7358 : v92
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Computer science , Engineering mathematics , Astronautics
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Call number:SPRINGER-2013-9783319002095:ONLINE Show nearby items on shelf
Title:Conversations About Challenges in Computing [electronic resource]
Author(s): Are Magnus Bruaset
Aslak Tveito
Date: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 text sheds light on how mathematical models and computing can help understanding and prediction of complicated physical processes how communication networks should be designed and implemented to meet the increasinglychallenging requirements from users and how modern engineering principles can lead to better and more robust software systems. Through interviews with 12 internationally recognized researchers within these fields, conducted by thewell-known science writer Dana Mackenzie and the scie nce journalist Kathrine Aspaas, the reader gets views on recent achievements and future challenges.
Note:Springer eBooks
Contents:Part I: Communications Systems: 1 The Nature of the Beast: An interview with Olav Lysne
2 Igniting the New Internet: An interview with Keith Marzullo
3 The Internet of Things: An interview with Heinrich Stttgen
Part II: Computational Science: 4 The Mathematics of the Mind: An interview with Hans Petter Langtangen
5 Solving Puzzle Earth by Adaptive Mesh Refinement: An interview with Carsten Burstedde
6 Computational Inverse Problems Can Drive a Big Data Revolution: An interview with Omar Ghattas
7 Towards the Google Heart: An interview with Natalia Trayanova
8 As Si
ISBN:9783319002095
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer network architectures , Computer science , Differential equations, partial , Physiology Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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Call number:SPRINGER-2013-9783034804486:ONLINE Show nearby items on shelf
Title:Geometric Methods in Physics [electronic resource] : XXX Workshop, Biaowiea, Poland, June 26 to July 2, 2011
Author(s): Piotr Kielanowski
S. Twareque Ali
Anatol Odzijewicz
Martin Schlichenmaier
Theodore Voronov
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Biaowiea workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year, some 80 to 100 participants from both mathematics and physics join to discuss new developments and toexchange ideas. This volume in cludes contributions by selected speakers at the 30th meeting in 2011 as well as additional review articles and it shows that the workshop remains at the cutting edge of ongoing research. The 2011 meetingfocused on the works of the late Felix A. Berezin ( 19311980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanisaw Lech Woronowicz on the occasion of their 75th and 70th birthdays, respectively. Thegroundbreaking work of Berezin is discussed from todays perspective by presentin g an overview of his ideas and their impact on further developments. He was active in representation theory, general concepts of quantization andcoherent states, supersymmetry and supermanifolds, among other fields. Another focus lies on the accomplishmen ts of Bogdan Mielnik and Stanisaw Lech Woronowicz. Mielniks geometric approach to the description of quantum mixedstates, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discusse d, as are the intricacies of the quantum time operator. Woronowicz fruitful notion of acompact quantum group and related topics are also addressed
Note:Springer eBooks
ISBN:9783034804486
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Global analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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