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Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs☆
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cong, Ngyuen Huu Minh, N. T. H. |
| Copyright Year | 2002 |
| Abstract | Abstract The aim of this paper is to consider parallel iteration schemes for a general class of pseudo two-step Runge-Kutta-Nystrom (RKN) methods of arbitrary high order for solving nonstiff initial-value problems y″( t ) = f(y( t )), y( t 0 ) = y 0 , y′( t 0 ) = y 0 on parallel computers. Starting with an s -stage pseudo two-step RKN method of order p ∗ with w implicit stages, we apply the highly parallel PC iteration process in P ( EC ) m E mode. The resulting PIPTRKN method (parallel-iterated pseudo two-step RKN method) uses an optimal number of processors equal to w ≤ p ∗/2. By a number of numerical experiments, we show the superiority of the PIPTRKN methods proposed in this paper over both sequential and parallel methods available in the literature. |
| Starting Page | 143 |
| Ending Page | 155 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S0898-1221(02)00136-0 |
| Volume Number | 44 |
| Alternate Webpage(s) | http://vnu.edu.vn/upload/scopus/887.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/S0898-1221%2802%2900136-0 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
