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Explicit parallel two-step Runge-Kutta-Nyström methods
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cong, Nguyen Huu |
| Copyright Year | 1994 |
| Abstract | The aim of this paper is to design a class of two-step Runge-Kutta-Nystrom methods of arbitrarily high order for the special second-order equation y″(t) = f(y(t)), for use on parallel computers. Starting with an s-stage implicit two-step Runge-Kutta-Nystrom method of order p with k = p2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)mE mode. In this way, we obtain an explicit two-step Runge-Kutta-Nystrom method that has order p for all m and that requires k(m + 1) right-hand side evaluations per step of which each k evaluation can be computed in parallel. By a number of numerical experiments, we show the superiority of the parallel predictor-corrector methods proposed in this paper over both sequential and parallel methods available in the literature. |
| Starting Page | 119 |
| Ending Page | 130 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0898-1221(96)00117-4 |
| Volume Number | 32 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82830825.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0898-1221%2896%2900117-4 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
