Springer Series in Computational Mathematics – serie
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114 produkter
Analysis of Finite Difference Schemes
For Linear Partial Differential Equations with Generalized Solutions
Av Boško S. Jovanović, Endre Süli
Inbunden, 2013
1098 kr
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This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.Finite difference methods are a classical class of techniques for the numerical approximation of …
Analysis of Finite Difference Schemes
For Linear Partial Differential Equations with Generalized Solutions
Av Boško S. Jovanović, Endre Süli
Häftad, 2016
1098 kr
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This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.Finite difference methods are a classical class of techniques for the numerical approximation of …
Numerical Methods Based on Sinc and Analytic Functions
Häftad, 2011
1316 kr
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Many mathematicians, scientists, and engineers are familiar with the Fast Fourier Transform, a method based upon the Discrete Fourier Transform. Perhaps not so many mathematicians, scientists, and engineers recognize that the Discrete Fourier Transform is one of a family of symbolic formulae called …
Progress in Approximation Theory
An International Perspective
Häftad, 2011
1098 kr
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Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries. Contents …
Mixed and Hybrid Finite Element Methods
Av Franco Brezzi, Michel Fortin
Häftad, 2011
1425 kr
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Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taking place. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem, Linear elasticity. The authors …
Moduli of Smoothness
Av Z. Ditzian, V. Totik
Häftad, 2011
1098 kr
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The subject of this book is the introduction and application of a new measure for smoothness offunctions. Though we have both previously published some articles in this direction, the results given here are new. Much of the work was done in the summer of 1984 in Edmonton when we consolidated …
Solving Elliptic Problems Using ELLPACK
Av John R. Rice, Ronald F. Boisvert
Häftad, 2011
552 kr
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ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving environments or expert systems that will become common in the next decade. While it is still far removed from the goals of the future, it is also far …
Advanced Boundary Element Methods
Treatment of Boundary Value, Transmission and Contact Problems
Av Joachim Gwinner, Ernst Peter Stephan
Häftad, 2019
989 kr
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This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element …
Tensor Spaces and Numerical Tensor Calculus
Inbunden, 2020
1534 kr
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Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to …
Tensor Spaces and Numerical Tensor Calculus
Häftad, 2021
1534 kr
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Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to …
Krylov Methods for Nonsymmetric Linear Systems
From Theory to Computations
Av Gérard Meurant, Jurjen Duintjer Tebbens
Inbunden, 2020
1025 kr
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This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems …
Krylov Methods for Nonsymmetric Linear Systems
From Theory to Computations
Av Gérard Meurant, Jurjen Duintjer Tebbens
Häftad, 2021
1003 kr
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This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems …
B-Series
Algebraic Analysis of Numerical Methods
Inbunden, 2021
1425 kr
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B-series, also known as Butcher series, are an algebraic tool for analysing solutions to ordinary differential equations, including approximate solutions. Through the formulation and manipulation of these series, properties of numerical methods can be assessed. Runge–Kutta methods, in particular, …
B-Series
Algebraic Analysis of Numerical Methods
Häftad, 2022
1425 kr
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B-series, also known as Butcher series, are an algebraic tool for analysing solutions to ordinary differential equations, including approximate solutions. Through the formulation and manipulation of these series, properties of numerical methods can be assessed. Runge–Kutta methods, in particular, …
Lattice Rules
Numerical Integration, Approximation, and Discrepancy
Av Josef Dick, Peter Kritzer m. fl.
Inbunden, 2022
1643 kr
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Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for …
Lattice Rules
Numerical Integration, Approximation, and Discrepancy
Av Josef Dick, Peter Kritzer m. fl.
Häftad, 2023
1643 kr
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Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for …
Integral Equation Methods for Evolutionary PDE
A Convolution Quadrature Approach
Av Lehel Banjai, Francisco-Javier Sayas
Inbunden, 2022
1425 kr
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This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.Properties of convolution quadrature, based on both linear multistep and Runge–Kutta methods, are explained in detail, always …
Integral Equation Methods for Evolutionary PDE
A Convolution Quadrature Approach
Av Lehel Banjai, Francisco-Javier Sayas
Häftad, 2023
1425 kr
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This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.Properties of convolution quadrature, based on both linear multistep and Runge–Kutta methods, are explained in detail, always …
Hilbert Space Splittings and Iterative Methods
Av Michael Griebel, Peter Oswald
Inbunden, 2024
1534 kr
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This book is about the theory of so-called Schwarz methods for solving variational problems in a Hilbert space V arising from linear equations and their associated quadratic minimization problems. Schwarz methods are based on the construction of a sequence of approximate solutions by solving …
Hilbert Space Splittings and Iterative Methods
Av Michael Griebel, Peter Oswald
Häftad, 2025
1534 kr
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This book is about the theory of so-called Schwarz methods for solving variational problems in a Hilbert space V arising from linear equations and their associated quadratic minimization problems. Schwarz methods are based on the construction of a sequence of approximate solutions by solving …
Logarithmic Norms
Inbunden, 2024
1527 kr
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This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, with a focus on initial and boundary value problems.Complementing the usual operator norm, the logarithmic norm is a versatile tool which provides …
Logarithmic Norms
Häftad, 2025
1534 kr
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This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, with a focus on initial and boundary value problems.Complementing the usual operator norm, the logarithmic norm is a versatile tool which provides …
Monotone Discretizations for Elliptic Second Order Partial Differential Equations
Av Gabriel R. Barrenechea, Volker John m. fl.
Inbunden, 2025
2188 kr
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This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs). The satisfaction of DMPs ensures that numerical solutions possess physically admissible values, which is of utmost importance in numerous …
Monotone Discretizations for Elliptic Second Order Partial Differential Equations
Av Gabriel R. Barrenechea, Volker John m. fl.
Häftad, 2026
2188 kr
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This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs). The satisfaction of DMPs ensures that numerical solutions possess physically admissible values, which is of utmost importance in numerous …
Numerical Analysis for Elliptic Optimal Control Problems
Av Boris Vexler, Dominik Meidner
Inbunden, 2025
1970 kr
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This book presents a systematic approach to the numerical analysis of several carefully selected classes of optimal control problems governed by elliptic partial differential equations (PDEs). A priori error estimates for the discretization error between the optimal solutions of the continuous and …
Numerical Methods for Nonlinear Partial Differential Equations
Inbunden, 2015
1534 kr
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The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly …
Discontinuous Galerkin Method
Analysis and Applications to Compressible Flow
Av Vít Dolejší, Miloslav Feistauer
Inbunden, 2015
1534 kr
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The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to …
Retarded Potentials and Time Domain Boundary Integral Equations
A Road Map
Inbunden, 2016
1098 kr
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This book offers a thoroughand self-contained exposition of the mathematics of time-domain boundaryintegral equations associated to the wave equation, including applications toscattering of acoustic and elastic waves. The book offers two differentapproaches for the analysis of these integral …
Numerical Methods for Nonlinear Partial Differential Equations
Häftad, 2016
1534 kr
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The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly …
Discontinuous Galerkin Method
Analysis and Applications to Compressible Flow
Av Vít Dolejší, Miloslav Feistauer
Häftad, 2016
1534 kr
Lägg i varukorg
The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to …
