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Stability of the Schemes

  • Gary C. Cohen
Part of the Scientific Computation book series (SCIENTCOMP)

Abstract

Obviously, the purpose of this book is not to provide a general theory of stability for numerical approximations of ordinary differential equations. This has already been done by specialists (see for example [58] or [62]). What we are going to do here is give an intuitive approach to the notion of stability of a scheme for the wave equations. This approach is actually based on plane wave solutions which can be regarded as elementary solutions of the wave equations, as we saw in Sect. 3.1.

Keywords

Stability Condition Wave Equation Dispersion Relation Numerical Illustration Discrete Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Gary C. Cohen
    • 1
  1. 1.Domaine de Voluceau RocquencourtINRIALe Chesnay CedexFrance

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