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Mathematics of Computation

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$P$-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems

Author: U. Anantha Krishnaiah
Journal: Math. Comp. 49 (1987), 553-559
MSC: Primary 65L05
MathSciNet review: 906188
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Abstract: In this paper P-stable methods of $O({h^6})$ and $O({h^8})$ with minimal phase-lag (frequency distortion) are derived. Numerical results for both linear and nonlinear problems are presented.

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Keywords: <I>P</I>-stable, Obrechkoff, phase-lag, periodic initial value problems, second-order differential equations, undamped Duffing’s equation
Article copyright: © Copyright 1987 American Mathematical Society