Variable step iteration of high-order Runge-Kutta methods on parallel computers:
"This paper investigates iterated Runge-Kutta methods of high order designed in such a way that the righthand side evaluations can be computed in parallel. Using stepsize control based on embedded formulas a highly efficient code is developed. On parallel computers, the 8th-order mode of this c...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1988
|
| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1988,17 |
| Schlagworte: | |
| Zusammenfassung: | "This paper investigates iterated Runge-Kutta methods of high order designed in such a way that the righthand side evaluations can be computed in parallel. Using stepsize control based on embedded formulas a highly efficient code is developed. On parallel computers, the 8th-order mode of this code is more efficient than the DOPRI8 implmentation of the formulas of Prince and Dormand. The 10th-order mode is about twice as cheap for comparable accuracies." |
| Beschreibung: | 12 S. |
Internformat
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| 100 | 1 | |a Houwen, Pieter J. van der |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Variable step iteration of high-order Runge-Kutta methods on parallel computers |c P. J. van der Houwen ; B. P. Sommeijer |
| 264 | 1 | |a Amsterdam |c 1988 | |
| 300 | |a 12 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1988,17 | |
| 520 | 3 | |a "This paper investigates iterated Runge-Kutta methods of high order designed in such a way that the righthand side evaluations can be computed in parallel. Using stepsize control based on embedded formulas a highly efficient code is developed. On parallel computers, the 8th-order mode of this code is more efficient than the DOPRI8 implmentation of the formulas of Prince and Dormand. The 10th-order mode is about twice as cheap for comparable accuracies." | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Parallel processing (Electronic computers) | |
| 650 | 4 | |a Runge-Kutta formulas | |
| 700 | 1 | |a Sommeijer, Ben P. |d ca. 20. Jh. |e Verfasser |0 (DE-588)132820269 |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1988,17 |w (DE-604)BV010177152 |9 1988,17 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006763231 | ||
Datensatz im Suchindex
| _version_ | 1804124580527210496 |
|---|---|
| any_adam_object | |
| author | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh |
| author_GND | (DE-588)132820269 |
| author_facet | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh |
| author_role | aut aut |
| author_sort | Houwen, Pieter J. van der |
| author_variant | p j v d h pjvd pjvdh b p s bp bps |
| building | Verbundindex |
| bvnumber | BV010181185 |
| ctrlnum | (OCoLC)20058308 (DE-599)BVBBV010181185 |
| format | Book |
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| id | DE-604.BV010181185 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:47:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006763231 |
| oclc_num | 20058308 |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 12 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Houwen, Pieter J. van der Verfasser aut Variable step iteration of high-order Runge-Kutta methods on parallel computers P. J. van der Houwen ; B. P. Sommeijer Amsterdam 1988 12 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1988,17 "This paper investigates iterated Runge-Kutta methods of high order designed in such a way that the righthand side evaluations can be computed in parallel. Using stepsize control based on embedded formulas a highly efficient code is developed. On parallel computers, the 8th-order mode of this code is more efficient than the DOPRI8 implmentation of the formulas of Prince and Dormand. The 10th-order mode is about twice as cheap for comparable accuracies." Numerical analysis Parallel processing (Electronic computers) Runge-Kutta formulas Sommeijer, Ben P. ca. 20. Jh. Verfasser (DE-588)132820269 aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1988,17 (DE-604)BV010177152 1988,17 |
| spellingShingle | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Variable step iteration of high-order Runge-Kutta methods on parallel computers Numerical analysis Parallel processing (Electronic computers) Runge-Kutta formulas |
| title | Variable step iteration of high-order Runge-Kutta methods on parallel computers |
| title_auth | Variable step iteration of high-order Runge-Kutta methods on parallel computers |
| title_exact_search | Variable step iteration of high-order Runge-Kutta methods on parallel computers |
| title_full | Variable step iteration of high-order Runge-Kutta methods on parallel computers P. J. van der Houwen ; B. P. Sommeijer |
| title_fullStr | Variable step iteration of high-order Runge-Kutta methods on parallel computers P. J. van der Houwen ; B. P. Sommeijer |
| title_full_unstemmed | Variable step iteration of high-order Runge-Kutta methods on parallel computers P. J. van der Houwen ; B. P. Sommeijer |
| title_short | Variable step iteration of high-order Runge-Kutta methods on parallel computers |
| title_sort | variable step iteration of high order runge kutta methods on parallel computers |
| topic | Numerical analysis Parallel processing (Electronic computers) Runge-Kutta formulas |
| topic_facet | Numerical analysis Parallel processing (Electronic computers) Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT houwenpieterjvander variablestepiterationofhighorderrungekuttamethodsonparallelcomputers AT sommeijerbenp variablestepiterationofhighorderrungekuttamethodsonparallelcomputers |