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P-stable symmetric super-implicitmethods for periodic initial value problems

โœ Scribed by B. Neta


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
227 KB
Volume
50
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


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 or parallel computers.


๐Ÿ“œ SIMILAR VOLUMES


A P-Stable Eighth-Order Method for the N
โœ T.E. Simos; Ch. Tsitouras ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 254 KB

Several methods have been developed for the solution of (1) belonging to Category I. We mention the works of An eighth-order P-stable two-step method for the numerical integration of second-order periodic initial-value problems is developed Raptis and Allison [5], Cash, in this paper. This method ha