P-stable symmetric super-implicitmethods for periodic initial value problems
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
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