High Order Difference Methods for Time Dependent Pde

Bertil Gustafsson

• Paperback | Engels | Springer Computational Mathematics | nr. 38
• Many books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if... Lees meer

Advanced Boundary Element Methods

Joachim Gwinner, Ernst Peter Stephan

• Paperback | Engels | Springer Computational Mathematics | nr. 52
• This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and c... Lees meer

Numerical Methods Based on Sinc and Analytic Functions

Frank Stenger

• Paperback | Engels | Springer Computational Mathematics | nr. 20
• Many mathematicians, scientists, and engineers are familiar with the Fast Fourier Transform, a method based upon the Discrete Fourier Transform. Perha... Lees meer

Spectral Methods

Jie Shen, Tao Tang, Li-Lian Wang

• Hardcover | Engels | Springer Computational Mathematics | nr. 41
• Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations... Lees meer

Robust Numerical Methods for Singularly Perturbed Differential Equations

Hans-Görg Roos, Martin Stynes, Lutz Tobiska

• Hardcover | Engels | Springer Computational Mathematics | nr. 24
• Beginning with ordinary differential equations, then moving on to parabolic and elliptic problems and culminating with the Navier-Stokes equations, th... Lees meer

Logarithmic Norms

Gustaf Söderlind

• Hardcover | Engels | Springer Computational Mathematics | nr. 63
• This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, w... Lees meer

Quadpack

R Piessens, E De Doncker-Kapenga, C W Überhuber, D K Kahaner

• Paperback | Engels | Springer Computational Mathematics | nr. 1
• 1. 1. Overview of Numerical Quadrature The numerical evaluation of integrals is one of the oldest problems in mathematics. One can trace its roots bac... Lees meer

Solving Elliptic Problems Using Ellpack

John R Rice, Ronald F Boisvert

• Paperback | Engels | Springer Computational Mathematics | nr. 2
• ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving envi... Lees meer

Numerical Methods for Nonlinear Partial Differential Equations

Sören Bartels

• Hardcover | Engels | Springer Computational Mathematics | nr. 47
• The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define ... Lees meer

Introduction to Shape Optimization

Jan Sokolowski, Jean-Paul Zolesio

• Paperback | Engels | Springer Computational Mathematics | nr. 16
• Shape Optimization is a classical field of the calculus of variations, optimal control theory and structural optimization. In this book the authors di... Lees meer

Stochastic Numerics for the Boltzmann Equation

Sergej Rjasanow, Wolfgang Wagner

• Hardcover | Engels | Springer Computational Mathematics | nr. 37
• 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 math... Lees meer

Solving Ordinary Differential Equations I

Ernst Hairer, Syvert P Nørsett, Gerhard Wanner

• Paperback | Engels | Springer Computational Mathematics | nr. 8
• The book deals with methods for solving ordinary nonstiff differential equations. This new edition contains in particular the following new material: ... Lees meer

Elliptic Differential Equations

Wolfgang Hackbusch

• Hardcover | Engels | Springer Computational Mathematics | nr. 18
• This book offers a simultaneous treatment of the theory and the numerical treatment of elliptic problems. The subjects dealt with include the classica... Lees meer

Monotone Discretizations for Elliptic Second Order Partial Differential Equations

Gabriel R Barrenechea, Volker John, Petr Knobloch

• Hardcover | Engels | Springer Computational Mathematics | nr. 61
• This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs... Lees meer

Solving Ordinary Differential Equations II

Ernst Hairer, Gerhard Wanner

• Hardcover | Duits | Springer Computational Mathematics | nr. 14
• The subject of this book is the solution of stiff differential equations and of differential-algebraic systems. This second completely revised and enl... Lees meer

Numerical Analysis for Elliptic Optimal Control Problems

Boris Vexler, Dominik Meidner

• Hardcover | Engels | Springer Computational Mathematics | nr. 67
• This book presents a systematic approach to the numerical analysis of several carefully selected classes of optimal control problems governed by ellip... Lees meer

The Graduate Student's Guide to Numerical Analysis '98

• Hardcover | Engels | Springer Computational Mathematics | nr. 26
• The Eighth EPSRC Numerical Analysis Summer School was held at the Uni- versity of Leicester from the 5th to the 17th of July, 1998. This was the third... Lees meer

Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations

Mitsuhiro T Nakao, Michael Plum, Yoshitaka Watanabe

• Paperback | Engels | Springer Computational Mathematics | nr. 53
• This book is the first publication in the world as a monograph on the concerned research fieldNakao and Plum are pioneers of the numerical verificatio... Lees meer

Numerical Modeling in Materials Science and Engineering

Michel Rappaz, Michel Bellet, Michel Deville

• Paperback | Engels | Springer Computational Mathematics | nr. 32
• Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related t... Lees meer

Domain Decomposition Methods - Algorithms and Theory

Andrea Toselli, Olof Widlund

• Paperback | Engels | Springer Computational Mathematics | nr. 34
• Abstract Theory of Schwarz Methods.- Two-Level Overlapping Methods.- Substructuring Methods: Introduction.- Primal Iterative Substructuring Methods.- ... Lees meer

The Concept of Stability in Numerical Mathematics

Wolfgang Hackbusch

• Hardcover | Engels | Springer Computational Mathematics | nr. 45
• In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathemat... Lees meer

Numerical Bifurcation Analysis for Reaction-Diffusion Equations

Zhen Mei

• Hardcover | Engels | Springer Computational Mathematics | nr. 28
• Reaction-diffusion equations are typical mathematical models in biology, chemistry and physics. These equations often depend on various parame- ters, ... Lees meer

Spectral Methods

Jie Shen, Tao Tang, Li-Lian Wang

• Paperback | Engels | Springer Computational Mathematics | nr. 41
• Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations... Lees meer

Numerical Methods for Two-Phase Incompressible Flows

Sven Gross, Arnold Reusken

• Paperback | Engels | Springer Computational Mathematics | nr. 40
• This book examines numerical methods for two-phase incompressible flow problems. It details the complete simulation track, from modeling via developme... Lees meer