Lecture Notes in Numerical Methods of Differential Equations

Chapter 3 Finite Difference Method

Author(s): Tadeusz Stys

Pp: 55-77 (23)

Doi: 10.2174/978160805056710901010055

* (Excluding Mailing and Handling)

Abstract

Two techniques of analysis of convergence and the global error estimates have been developed. The first technique is based on the discrete maximum principle to prove uniform con- vergence of finite difference methods for elliptic and parabolic equations. The second technique draws on spectral analysis and deals with average convergence in the discrete Hilbert’s space H. The chapter ends with a set of questions.

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