Finite Difference Schemes and Partial Differential Equations
Author:   John C. Strikwerda (University of Wisconsin, Wisconsin, USA)
Publisher:   Taylor & Francis Ltd
Edition:   New edition
ISBN:  

9780412072215


Pages:   392
Publication Date:   15 May 1990
Format:   Hardback
Availability:   Out of stock   Availability explained


Our Price $484.44 Quantity:  
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Finite Difference Schemes and Partial Differential Equations


Overview

This book combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. There is a thorough discussion of the concepts of convergence, consistency, and stability for time-dependent equations. The von Neumann analysis of stability is developed rigorously using the methods of Fourier analysis. Fourier analysis is used throughout the text, providing a unified treatment of the basic concepts and results. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.

Full Product Details

Author:   John C. Strikwerda (University of Wisconsin, Wisconsin, USA)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Edition:   New edition
Weight:   0.644kg
ISBN:  

9780412072215


ISBN 10:   0412072211
Pages:   392
Publication Date:   15 May 1990
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock   Availability explained

Table of Contents

Hyperbolic partial differential equations and finite difference schemes. Analysis of finite difference schemes. Accuracy of finite difference schemes. Multistep finite difference schemes. Dissipation and dispersion. Parabolic partial differential equations in higher dimensions. Second-order equations. Analysis of well-posed and stable problems. Convergence estimates for initial value problems. Initial boundary value problems. Elliptic partial differential equations. Linear iterative methods. The method of steepest descent and the conjugate gradient methods.

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