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

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

ISBN10: 053409984X
ISBN13: 978-0534099848
Author: -
Title: Finite Difference Schemes and Partial Differential Equations (Wadsworth & Brooks/Cole Mathematics Series)
Publisher: Springer; 1 edition (September 28, 1989)
Language: English
Size ePub: 1811 kb
Size PDF: 1243 kb
Rating: 3.8/5
Votes: 290
Pages: 424 pages
Subcategory: Mathematics

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



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.

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