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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

$ 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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1987-0906188-X
PII: S 0025-5718(1987)0906188-X
Keywords: P-stable, Obrechkoff, phase-lag, periodic initial value problems, second-order differential equations, undamped Duffing's equation
Article copyright: © Copyright 1987 American Mathematical Society