Finite Difference Schemes and Partial Differential Equations - Tapa dura

Strikwerda, John C.

 
9780412072215: Finite Difference Schemes and Partial Differential Equations

Sinopsis

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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Reseña del editor

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.

Reseña del editor

This text combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. It offers a discussion of the concepts of convergence, consistency and stability for time-dependent equations. The author rigorously develops the von Neumann analysis of stability using the methods of Fourier analysis throughout the text to provide 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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