A Necessary and Sufficient Condition for Stability of Partial Difference Equation Problems

Abstract

In Chapter IV of his noteworthy book Difference Methods for Ini t ial-Value Problems [1], Richtmyer formulates several conditions for the stability of numerical methods for solving partial differential equation problems. These inelude the so-called yon Neumann necessary condition and several alternative sufficient conditions. In this paper use is made of… (More)
DOI: 10.1145/321021.321027

Topics

Cite this paper

@article{Esch1960ANA, title={A Necessary and Sufficient Condition for Stability of Partial Difference Equation Problems}, author={Robin E. Esch}, journal={J. ACM}, year={1960}, volume={7}, pages={163-175} }