Convergence aspects of step-parallel iteration of Runge-Kutta methods:
Abstract: "One of the most powerful methods for solving intial- value problems for ordinary differential equations is an implicit Runge- Kutta method such as the Radau IIA methods. These methods are both highly accurate and highly stable. However, the iterative scheme needed for solving the imp...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1994
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1994,26 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "One of the most powerful methods for solving intial- value problems for ordinary differential equations is an implicit Runge- Kutta method such as the Radau IIA methods. These methods are both highly accurate and highly stable. However, the iterative scheme needed for solving the implicit RK equations requires a lot of computational effort. The arrival of parallel computer systems have [sic] changed the situation in the sense that the effective computational effort can be reduced to a large extent. One option is the application of the iteration scheme concurrently at a number of step points on the t-axis. In this paper, we shall analyse the convergence of a special class of such step-parallel iteration methods." |
| Beschreibung: | 18 S. |
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| 100 | 1 | |a Veen, W. A. van der |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Convergence aspects of step-parallel iteration of Runge-Kutta methods |c W. A. van der Veen ; J. J. B. de Swart ; P. J. van der Houwen |
| 264 | 1 | |a Amsterdam |c 1994 | |
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1994,26 | |
| 520 | 3 | |a Abstract: "One of the most powerful methods for solving intial- value problems for ordinary differential equations is an implicit Runge- Kutta method such as the Radau IIA methods. These methods are both highly accurate and highly stable. However, the iterative scheme needed for solving the implicit RK equations requires a lot of computational effort. The arrival of parallel computer systems have [sic] changed the situation in the sense that the effective computational effort can be reduced to a large extent. One option is the application of the iteration scheme concurrently at a number of step points on the t-axis. In this paper, we shall analyse the convergence of a special class of such step-parallel iteration methods." | |
| 650 | 4 | |a Runge-Kutta formulas | |
| 700 | 1 | |a Swart, J. J. de |e Verfasser |4 aut | |
| 700 | 1 | |a Houwen, Pieter J. van der |e Verfasser |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1994,26 |w (DE-604)BV010177152 |9 1994,26 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006767624 | ||
Datensatz im Suchindex
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| author | Veen, W. A. van der Swart, J. J. de Houwen, Pieter J. van der |
| author_facet | Veen, W. A. van der Swart, J. J. de Houwen, Pieter J. van der |
| author_role | aut aut aut |
| author_sort | Veen, W. A. van der |
| author_variant | w a v d v wavd wavdv j j d s jjd jjds p j v d h pjvd pjvdh |
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| bvnumber | BV010186919 |
| ctrlnum | (OCoLC)32904753 (DE-599)BVBBV010186919 |
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| indexdate | 2024-07-09T17:48:02Z |
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| language | English |
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| physical | 18 S. |
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| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Veen, W. A. van der Verfasser aut Convergence aspects of step-parallel iteration of Runge-Kutta methods W. A. van der Veen ; J. J. B. de Swart ; P. J. van der Houwen Amsterdam 1994 18 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1994,26 Abstract: "One of the most powerful methods for solving intial- value problems for ordinary differential equations is an implicit Runge- Kutta method such as the Radau IIA methods. These methods are both highly accurate and highly stable. However, the iterative scheme needed for solving the implicit RK equations requires a lot of computational effort. The arrival of parallel computer systems have [sic] changed the situation in the sense that the effective computational effort can be reduced to a large extent. One option is the application of the iteration scheme concurrently at a number of step points on the t-axis. In this paper, we shall analyse the convergence of a special class of such step-parallel iteration methods." Runge-Kutta formulas Swart, J. J. de Verfasser aut Houwen, Pieter J. van der Verfasser aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1994,26 (DE-604)BV010177152 1994,26 |
| spellingShingle | Veen, W. A. van der Swart, J. J. de Houwen, Pieter J. van der Convergence aspects of step-parallel iteration of Runge-Kutta methods Runge-Kutta formulas |
| title | Convergence aspects of step-parallel iteration of Runge-Kutta methods |
| title_auth | Convergence aspects of step-parallel iteration of Runge-Kutta methods |
| title_exact_search | Convergence aspects of step-parallel iteration of Runge-Kutta methods |
| title_full | Convergence aspects of step-parallel iteration of Runge-Kutta methods W. A. van der Veen ; J. J. B. de Swart ; P. J. van der Houwen |
| title_fullStr | Convergence aspects of step-parallel iteration of Runge-Kutta methods W. A. van der Veen ; J. J. B. de Swart ; P. J. van der Houwen |
| title_full_unstemmed | Convergence aspects of step-parallel iteration of Runge-Kutta methods W. A. van der Veen ; J. J. B. de Swart ; P. J. van der Houwen |
| title_short | Convergence aspects of step-parallel iteration of Runge-Kutta methods |
| title_sort | convergence aspects of step parallel iteration of runge kutta methods |
| topic | Runge-Kutta formulas |
| topic_facet | Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT veenwavander convergenceaspectsofstepparalleliterationofrungekuttamethods AT swartjjde convergenceaspectsofstepparalleliterationofrungekuttamethods AT houwenpieterjvander convergenceaspectsofstepparalleliterationofrungekuttamethods |