Explicit parallel two-step Runge-Kutta-Nyström methods:
Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström 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-Nyström method of order p...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1994
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| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1994,1 |
| Subjects: | |
| Summary: | Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström 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-Nyström method of order p with k=p/2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)[superscript m]E mode. In this way, we obtain an explicit two-step Runge-Kutta-Nyström method that has order p for all m and that requires k(m+1) righthand side evaluations per step of which each k evaluations 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." |
| Physical Description: | 13 S. |
Staff View
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| 520 | 3 | |a Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström 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-Nyström method of order p with k=p/2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)[superscript m]E mode. In this way, we obtain an explicit two-step Runge-Kutta-Nyström method that has order p for all m and that requires k(m+1) righthand side evaluations per step of which each k evaluations 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." | |
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| author | Nguyen, Huu Cong |
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| author_sort | Nguyen, Huu Cong |
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| id | DE-604.BV010188396 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006768917 |
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| physical | 13 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
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| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Nguyen, Huu Cong Verfasser (DE-588)1150724099 aut Explicit parallel two-step Runge-Kutta-Nyström methods Amsterdam 1994 13 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1994,1 Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström 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-Nyström method of order p with k=p/2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)[superscript m]E mode. In this way, we obtain an explicit two-step Runge-Kutta-Nyström method that has order p for all m and that requires k(m+1) righthand side evaluations per step of which each k evaluations 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." Runge-Kutta formulas Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1994,1 (DE-604)BV010177152 1994,1 |
| spellingShingle | Nguyen, Huu Cong Explicit parallel two-step Runge-Kutta-Nyström methods Runge-Kutta formulas |
| title | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_auth | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_exact_search | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_full | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_fullStr | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_full_unstemmed | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_short | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_sort | explicit parallel two step runge kutta nystrom methods |
| topic | Runge-Kutta formulas |
| topic_facet | Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT nguyenhuucong explicitparalleltwosteprungekuttanystrommethods |