Embedded diagonally implicit Runge-Kutta algorithms on parallel computers:
Abstract: "This paper investigates diagonally implicit Runge-Kutta methods in which the implicit relations can be solved in parallel and are singly diagonally implicit on each processor. The algorithms are based on diagonally implicit iteration of fully implicit Runge-Kutta methods. The iterati...
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1989
|
| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1989,12 |
| Subjects: | |
| Summary: | Abstract: "This paper investigates diagonally implicit Runge-Kutta methods in which the implicit relations can be solved in parallel and are singly diagonally implicit on each processor. The algorithms are based on diagonally implicit iteration of fully implicit Runge-Kutta methods. The iteration scheme is chosen in such a way that the resulting algorithm is A([alpha])-stable or L([alpha])-stable with [alpha] equal or very close to [pi]/2. Because of the iterative nature of the methods, embedded formulas of lower orders are automatically available allowing a strategy for step order variation." |
| Physical Description: | 19 S. graph. Darst. |
Staff View
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| 100 | 1 | |a Houwen, Pieter J. van der |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Embedded diagonally implicit Runge-Kutta algorithms on parallel computers |c P. J. van der Houwen ; B. P. Sommeijer ; W. Couzy |
| 264 | 1 | |a Amsterdam |c 1989 | |
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1989,12 | |
| 520 | 3 | |a Abstract: "This paper investigates diagonally implicit Runge-Kutta methods in which the implicit relations can be solved in parallel and are singly diagonally implicit on each processor. The algorithms are based on diagonally implicit iteration of fully implicit Runge-Kutta methods. The iteration scheme is chosen in such a way that the resulting algorithm is A([alpha])-stable or L([alpha])-stable with [alpha] equal or very close to [pi]/2. Because of the iterative nature of the methods, embedded formulas of lower orders are automatically available allowing a strategy for step order variation." | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Parallel processing (Electronic computers) | |
| 700 | 1 | |a Sommeijer, Ben P. |d ca. 20. Jh. |e Verfasser |0 (DE-588)132820269 |4 aut | |
| 700 | 1 | |a Couzy, W. |e Verfasser |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1989,12 |w (DE-604)BV010177152 |9 1989,12 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006763890 | ||
Record in the Search Index
| _version_ | 1804124581592563712 |
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| any_adam_object | |
| author | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Couzy, W. |
| author_GND | (DE-588)132820269 |
| author_facet | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Couzy, W. |
| author_role | aut aut aut |
| author_sort | Houwen, Pieter J. van der |
| author_variant | p j v d h pjvd pjvdh b p s bp bps w c wc |
| building | Verbundindex |
| bvnumber | BV010181967 |
| ctrlnum | (OCoLC)20924776 (DE-599)BVBBV010181967 |
| format | Book |
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| id | DE-604.BV010181967 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:47:57Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006763890 |
| oclc_num | 20924776 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 19 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Houwen, Pieter J. van der Verfasser aut Embedded diagonally implicit Runge-Kutta algorithms on parallel computers P. J. van der Houwen ; B. P. Sommeijer ; W. Couzy Amsterdam 1989 19 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1989,12 Abstract: "This paper investigates diagonally implicit Runge-Kutta methods in which the implicit relations can be solved in parallel and are singly diagonally implicit on each processor. The algorithms are based on diagonally implicit iteration of fully implicit Runge-Kutta methods. The iteration scheme is chosen in such a way that the resulting algorithm is A([alpha])-stable or L([alpha])-stable with [alpha] equal or very close to [pi]/2. Because of the iterative nature of the methods, embedded formulas of lower orders are automatically available allowing a strategy for step order variation." Numerical analysis Parallel processing (Electronic computers) Sommeijer, Ben P. ca. 20. Jh. Verfasser (DE-588)132820269 aut Couzy, W. Verfasser aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1989,12 (DE-604)BV010177152 1989,12 |
| spellingShingle | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Couzy, W. Embedded diagonally implicit Runge-Kutta algorithms on parallel computers Numerical analysis Parallel processing (Electronic computers) |
| title | Embedded diagonally implicit Runge-Kutta algorithms on parallel computers |
| title_auth | Embedded diagonally implicit Runge-Kutta algorithms on parallel computers |
| title_exact_search | Embedded diagonally implicit Runge-Kutta algorithms on parallel computers |
| title_full | Embedded diagonally implicit Runge-Kutta algorithms on parallel computers P. J. van der Houwen ; B. P. Sommeijer ; W. Couzy |
| title_fullStr | Embedded diagonally implicit Runge-Kutta algorithms on parallel computers P. J. van der Houwen ; B. P. Sommeijer ; W. Couzy |
| title_full_unstemmed | Embedded diagonally implicit Runge-Kutta algorithms on parallel computers P. J. van der Houwen ; B. P. Sommeijer ; W. Couzy |
| title_short | Embedded diagonally implicit Runge-Kutta algorithms on parallel computers |
| title_sort | embedded diagonally implicit runge kutta algorithms on parallel computers |
| topic | Numerical analysis Parallel processing (Electronic computers) |
| topic_facet | Numerical analysis Parallel processing (Electronic computers) |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT houwenpieterjvander embeddeddiagonallyimplicitrungekuttaalgorithmsonparallelcomputers AT sommeijerbenp embeddeddiagonallyimplicitrungekuttaalgorithmsonparallelcomputers AT couzyw embeddeddiagonallyimplicitrungekuttaalgorithmsonparallelcomputers |