Convergence aspects of step-parallel iteration of Runge-Kutta methods:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam
1994
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1994,26 |
| Schlagwörter: | |
| Abstract: | 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." |
| Umfang: | 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 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006767624 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0111 2001 B 6003-1994,26 |
|---|---|
| DE-BY-TUM_katkey | 653808 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010368375 |
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| any_adam_object | |
| 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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| id | DE-604.BV010186919 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:49:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006767624 |
| oclc_num | 32904753 |
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| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 18 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| 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 |
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Teilbibliothek Mathematik & Informatik, Berichte
| Signatur: |
0111 2001 B 6003-1994,26 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |