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P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems

✍ Scribed by Beny Neta


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
363 KB
Volume
54
Category
Article
ISSN
0898-1221

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✍ B. Neta πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 227 KB

The idea of super-implicit methods (requiring not just past and present but also future values) was suggested by Fukushima recently. Here, we construct P-stable super-impliclt methods for the solution of second-order initial value problems. The benefit of such methoda is realized when using vector o

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✍ T.E. Simos; Ch. Tsitouras πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 254 KB

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✍ T.E. Simos πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 277 KB

Two two-step sixth-order methods with phase-lag of order eight and ten are developed for the numerical integration of the special second-order initial value problem. One of these methods is P-stable and the other has an interval of periodicity larger than the Numerov method. An application to the on