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how to analyze the temporal dissipation and dispersion errors?

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Old   April 14, 2009, 09:26
Default how to analyze the temporal dissipation and dispersion errors?
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how to analyze the dissipation and dispersion errors generated by temporal discretisation?

If von Neumann analysis is used, for multistep schemes, finally a polynomial is obtained. There are one or more roots of such polynomial. Then how to analyze the dissipation and dispersion errors?

Thank you.
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Old   April 14, 2009, 11:16
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Look for papers by Tam et. al on dispersion relation preserving schemes. He has given a detailed analysis on the analysis of temporal discretization errors. Also Hirsch has a section on the same topic in vol. 1
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Old   April 22, 2009, 22:15
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thank you so much
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