Finite Difference Schemes and Partial Differential Equations (Wadsworth & Brooks/Cole Mathematics Series)

Strikwerda, John C.

ISBN 10: 053409984X / ISBN 13: 9780534099848

Published by Springer, 1989

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Bibliographic Details

• Title: Finite Difference Schemes and Partial Differential Equations (Wadsworth & Brooks/Cole Mathematics Series)
• Publisher: Springer
• Publication Date: 1989
• Language: English
• ISBN 10: 053409984X
• ISBN 13: 9780534099848
• Binding: Hardcover
• Condition: Good

About this title

Synopsis

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.

Book Description

This book provides a unified and accessible introduction to the basic theory of finite difference schemes applied to the numerical solution of partial differential equations. Its objective remains to clearly present the basic methods necessary to perform finite difference schemes and to understand the theory underlying these schemes.