A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers:
Abstract: "In this paper, we study diagonally implicit Runge- Kutta-Nyström methods (DIRKN methods) for use on parallel computers. These methods are obtained by diagonally implicit iteration of fully implicit Runge-Kutta-Nyström methods (corrector methods). The number of iterations is chosen su...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1992
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| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1992,8 |
| Subjects: | |
| Summary: | Abstract: "In this paper, we study diagonally implicit Runge- Kutta-Nyström methods (DIRKN methods) for use on parallel computers. These methods are obtained by diagonally implicit iteration of fully implicit Runge-Kutta-Nyström methods (corrector methods). The number of iterations is chosen such that the method has the same order of accuracy as the corrector, and the iteration parameters serve to make the method at least A-stable. Since a large number of the stages can be computed in parallel, the methods are very efficient on parallel computers. We derive a number of A-stable, strongly A-stable and L-stable DIRKN methods of order p with s*(p) sequential, singly diagonal-implicit stages where s*(p) = [(p+1)/2] or s*(p) = [(p+1)/2]+1, [.] denoting the integer part function." |
| Physical Description: | 20 S. |
Staff View
MARC
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| 520 | 3 | |a Abstract: "In this paper, we study diagonally implicit Runge- Kutta-Nyström methods (DIRKN methods) for use on parallel computers. These methods are obtained by diagonally implicit iteration of fully implicit Runge-Kutta-Nyström methods (corrector methods). The number of iterations is chosen such that the method has the same order of accuracy as the corrector, and the iteration parameters serve to make the method at least A-stable. Since a large number of the stages can be computed in parallel, the methods are very efficient on parallel computers. We derive a number of A-stable, strongly A-stable and L-stable DIRKN methods of order p with s*(p) sequential, singly diagonal-implicit stages where s*(p) = [(p+1)/2] or s*(p) = [(p+1)/2]+1, [.] denoting the integer part function." | |
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Record in the Search Index
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| author | Nguyen, Huu Cong |
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| author_facet | Nguyen, Huu Cong |
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| author_sort | Nguyen, Huu Cong |
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| id | DE-604.BV010185745 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006766593 |
| oclc_num | 27961150 |
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| physical | 20 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
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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 A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers Amsterdam 1992 20 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1992,8 Abstract: "In this paper, we study diagonally implicit Runge- Kutta-Nyström methods (DIRKN methods) for use on parallel computers. These methods are obtained by diagonally implicit iteration of fully implicit Runge-Kutta-Nyström methods (corrector methods). The number of iterations is chosen such that the method has the same order of accuracy as the corrector, and the iteration parameters serve to make the method at least A-stable. Since a large number of the stages can be computed in parallel, the methods are very efficient on parallel computers. We derive a number of A-stable, strongly A-stable and L-stable DIRKN methods of order p with s*(p) sequential, singly diagonal-implicit stages where s*(p) = [(p+1)/2] or s*(p) = [(p+1)/2]+1, [.] denoting the integer part function." Runge-Kutta formulas Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1992,8 (DE-604)BV010177152 1992,8 |
| spellingShingle | Nguyen, Huu Cong A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers Runge-Kutta formulas |
| title | A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers |
| title_auth | A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers |
| title_exact_search | A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers |
| title_full | A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers |
| title_fullStr | A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers |
| title_full_unstemmed | A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers |
| title_short | A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers |
| title_sort | a stable diagonally implicit runge kutta nystrom methods for parallel computers |
| topic | Runge-Kutta formulas |
| topic_facet | Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT nguyenhuucong astablediagonallyimplicitrungekuttanystrommethodsforparallelcomputers |