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- W159124311 abstract "Two stability concepts are of interest for partial difference equations--one arises in theory--the other in practice. The theoretical kind, referred to here as asymptotic stability, is essentially just asymptotic (as ..delta..t, ..delta..x ..-->.. 0) boundedness of the discrete solution. The other kind, referred to here as computational stability, is stability for a fixed ..delta..t and ..delta..x--computational instability is indicated in practice by oscillatory behavior of the discrete approximation--in particular, oscillations of period 2..delta..x. This report is concerned with computational stability. Only approximate stability analyses of the von Neumann-Richtmyer scheme have been done for the case of the ideal gas law. Herein a more rigorous computational stability analysis is sought. The analysis leads to a recommendation for the improvement of the time step restriction in WONDY for the case of the ideal gas law." @default.
- W159124311 created "2016-06-24" @default.
- W159124311 creator A5046997631 @default.
- W159124311 date "1978-07-01" @default.
- W159124311 modified "2023-10-17" @default.
- W159124311 title "Computational stability of the Von Neumann--Richtmyer method for the case of the ideal gas law" @default.
- W159124311 doi "https://doi.org/10.2172/6635929" @default.
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