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Finite difference schemes and partial differential equations Book

Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations, , Finite difference schemes and partial differential equations has a rating of 4 stars
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Finite difference schemes and partial differential equations, , Finite difference schemes and partial differential equations
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  • Finite difference schemes and partial differential equations
  • Written by author J.C. Strikwerda
  • Published by New York [etc] : Chapman and Hall/International Thompson, cop. 1989., 1995/08/01
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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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