Télécharger le livre :  Krylov Subspace Methods for Linear Systems
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 PDF, ePub

137,14

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Télécharger le livre :  B-Series
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 PDF

126,59

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Télécharger le livre :  Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations
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 PDF, ePub

137,14

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Télécharger le livre :  Advanced Boundary Element Methods
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 PDF, ePub

94,94

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Télécharger le livre :  Elliptic Differential Equations
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 PDF

126,59

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Télécharger le livre :  Retarded Potentials and Time Domain Boundary Integral Equations
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

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Télécharger le livre :  Hierarchical Matrices: Algorithms and Analysis
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 PDF

168,79

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Télécharger le livre :  Discontinuous Galerkin Method
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 PDF, ePub

137,14

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Télécharger le livre :  Numerical Methods for Nonlinear Partial Differential Equations
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

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Télécharger le livre :  Analysis of Finite Difference Schemes
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

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Télécharger le livre :  Mixed Finite Element Methods and Applications
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

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Télécharger le livre :  Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
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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Télécharger le livre :  Galerkin Finite Element Methods for Parabolic Problems
My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin ?nite element methods as appliedtoparabolicpartialdi?erentialequations. Theemphasesandselection of topics re?ects my own involvement in the ?eld over...

Editeur : Springer
Parution : 2007-06-25
Collection : Springer Series in Computational Mathematics PDF

179,34

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Télécharger le livre :  Geometric Numerical Integration
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods,...

Editeur : Springer
Parution : 2006-05-18
Collection : Springer Series in Computational Mathematics PDF

220,49

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Télécharger le livre :  Stochastic Numerics for the Boltzmann Equation
Stochastic numerical methods play an important role in large scale computations in the applied sciences. The first goal of this book is to give a mathematical description of classical direct simulation Monte Carlo (DSMC) procedures for rarefied gases, using the theory...

Editeur : Springer
Parution : 2005-11-04
Collection : Springer Series in Computational Mathematics PDF

94,94

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