SDIRK methods for stiff ODEs with oscillating solutions (Q1362410)
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scientific article; zbMATH DE number 1043282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | SDIRK methods for stiff ODEs with oscillating solutions |
scientific article; zbMATH DE number 1043282 |
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SDIRK methods for stiff ODEs with oscillating solutions (English)
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25 May 1998
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This paper deals with the numerical solution of oscillatory systems of stiff type. Two \(A\)-stable singly diagonally implicit Runge-Kutta (SDIRK) methods with algebraic order 3 and higher order of dispersion (phase error) and of dissipation (numerical damping) are constructed, which belong to a known family of methods [see \textit{P. van der Houwen} and \textit{B. P. Sommeijer}, SIAM J. Numer. Anal. 26, 214-229 (1989; Zbl 0669.65055)]. Numerical results are presented.
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numerical examples
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Runge-Kutta methods
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SDIRK methods
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oscillatory stiff problems
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\(A\)-stability
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dispersion
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dissipation
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0.8926833
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0.8830724
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0.8829986
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0.8794248
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0.87824744
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