Stability of Richtmyer Type Difference Schemes in any Finite Number of Space Variables and Their Comparison with Multistep Strang Schemes
Open Access
- 1 October 1972
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 10 (2) , 238-257
- https://doi.org/10.1093/imamat/10.2.238
Abstract
The stability of generalized Richtmyer two step difference schemes in any finite number of space variables is examined and a sufficient stability condition obtained for each scheme. In certain cases this condition is shown to be optimal C.F.L. The efficiency of these schemes in solving time dependent problems in two and three space variables is examined and the schemes are seen to compare favourably with the corresponding multistep forms of Strang's schemes.Keywords
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