Finite Difference Schemes and Partial Differential Equations - Couverture rigide

Strikwerda, John C.

 
9780412072215: Finite Difference Schemes and Partial Differential Equations

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.

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Présentation de l'éditeur

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.

Biographie de l'auteur

John Strikwerda is Professor in the Department of Computer Sciences at the University of Wisconsin, Madison.

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