Télécharger le livre :  Monotone Discretizations for Elliptic Second Order Partial Differential Equations
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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...

Editeur : Springer
Parution : 2025-03-18
Collection : Springer Series in Computational Mathematics
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200,44
Télécharger le livre :  Logarithmic Norms
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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...

Editeur : Springer
Parution : 2024-11-11
Collection : Springer Series in Computational Mathematics
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147,69
Télécharger le livre :  Krylov Subspace Methods for Linear Systems
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This book focuses on Krylov subspace methods for solving linear systems, which are known as one of the top 10 algorithms in the twentieth century, such as Fast Fourier Transform and Quick Sort (SIAM News, 2000). Theoretical aspects of Krylov subspace methods developed...

Editeur : Springer
Parution : 2023-01-20
Collection : Springer Series in Computational Mathematics
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137,14
Télécharger le livre :  Integral Equation Methods for Evolutionary PDE
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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...

Editeur : Springer
Parution : 2022-11-08
Collection : Springer Series in Computational Mathematics
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137,14
Télécharger le livre :  Lattice Rules
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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...

Editeur : Springer
Parution : 2022-07-23
Collection : Springer Series in Computational Mathematics
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158,24
Télécharger le livre :  B-Series
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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....

Editeur : Springer
Parution : 2021-04-01
Collection : Springer Series in Computational Mathematics
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126,59
Télécharger le livre :  Krylov Methods for Nonsymmetric Linear Systems
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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...

Editeur : Springer
Parution : 2020-10-02
Collection : Springer Series in Computational Mathematics
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147,69
Télécharger le livre :  Tensor Spaces and Numerical Tensor Calculus
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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...

Editeur : Springer
Parution : 2019-12-16
Collection : Springer Series in Computational Mathematics
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137,14
Télécharger le livre :  Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations
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In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more.In many cases, computer-assisted...

Editeur : Springer
Parution : 2019-11-11
Collection : Springer Series in Computational Mathematics
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137,14
Télécharger le livre :  Numerical Methods for Fractional Differentiation
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This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators presented in the book...

Editeur : Springer
Parution : 2019-10-14
Collection : Springer Series in Computational Mathematics
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126,59
Télécharger le livre :  Advanced Boundary Element Methods
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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...

Editeur : Springer
Parution : 2018-07-28
Collection : Springer Series in Computational Mathematics
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94,94
Télécharger le livre :  Elliptic Differential Equations
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This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite...

Editeur : Springer
Parution : 2017-06-01
Collection : Springer Series in Computational Mathematics
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126,59
Télécharger le livre :  Finite Element Methods for Incompressible Flow Problems
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This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and...

Editeur : Springer
Parution : 2016-10-27
Collection : Springer Series in Computational Mathematics
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231,04
Télécharger le livre :  Retarded Potentials and Time Domain Boundary Integral Equations
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This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two...

Editeur : Springer
Parution : 2016-04-12
Collection : Springer Series in Computational Mathematics
ePub

94,94
Télécharger le livre :  Hierarchical Matrices: Algorithms and Analysis
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This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix...

Editeur : Springer
Parution : 2015-12-21
Collection : Springer Series in Computational Mathematics
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168,79
Télécharger le livre :  Discontinuous Galerkin Method
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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...

Editeur : Springer
Parution : 2015-07-17
Collection : Springer Series in Computational Mathematics
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137,14
Télécharger le livre :  Numerical Methods for Nonlinear Partial Differential Equations
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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...

Editeur : Springer
Parution : 2015-01-19
Collection : Springer Series in Computational Mathematics
ePub

147,69
Télécharger le livre :  Analysis of Finite Difference Schemes
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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...

Editeur : Springer
Parution : 2013-10-22
Collection : Springer Series in Computational Mathematics
ePub

94,94
Télécharger le livre :  Mixed Finite Element Methods and Applications
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Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert...

Editeur : Springer
Parution : 2013-07-02
Collection : Springer Series in Computational Mathematics
ePub

179,34
Télécharger le livre :  Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
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The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwell’s equations involving metamaterials. Since the first successful construction of a metamaterial with both negative permittivity and permeability in...

Editeur : Springer
Parution : 2012-12-15
Collection : Springer Series in Computational Mathematics
ePub

116,04
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