Solving implicit differential equations on parallel computers:
Abstract: "We construct and analyse three methods for solving initial value problems for implicit differential equations (IDEs) on parallel computer systems. The first IDE method can be applied to general IDEs of higher index, the other two methods can be applied to partitioned (or semi-explici...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1995
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| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1995,26 |
| Subjects: | |
| Summary: | Abstract: "We construct and analyse three methods for solving initial value problems for implicit differential equations (IDEs) on parallel computer systems. The first IDE method can be applied to general IDEs of higher index, the other two methods can be applied to partitioned (or semi-explicit) IDEs. The partitioned IDE methods both exploit the special form of the problem and often converge faster than the general IDE method. The first partitioned IDE method is suitable for higher-index problems, the second partitioned IDE method only applies to index 1 problems, but possesses more parallelism across the method. The convergence of these methods is illustrated by solving implicit IDEs of index 0 until 3 that are taken from the literature." |
| Physical Description: | 17 S. |
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MARC
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| 100 | 1 | |a Houwen, Pieter J. van der |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Solving implicit differential equations on parallel computers |c P. J. van der Houwen ; W. A. van der Veen |
| 264 | 1 | |a Amsterdam |c 1995 | |
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1995,26 | |
| 520 | 3 | |a Abstract: "We construct and analyse three methods for solving initial value problems for implicit differential equations (IDEs) on parallel computer systems. The first IDE method can be applied to general IDEs of higher index, the other two methods can be applied to partitioned (or semi-explicit) IDEs. The partitioned IDE methods both exploit the special form of the problem and often converge faster than the general IDE method. The first partitioned IDE method is suitable for higher-index problems, the second partitioned IDE method only applies to index 1 problems, but possesses more parallelism across the method. The convergence of these methods is illustrated by solving implicit IDEs of index 0 until 3 that are taken from the literature." | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Differential equations |x Numerical solutions |x Data processing | |
| 650 | 4 | |a Differential-algebraic equations | |
| 650 | 4 | |a Initial value problems | |
| 650 | 4 | |a Runge-Kutta formulas | |
| 700 | 1 | |a Veen, W. A. van der |e Verfasser |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1995,26 |w (DE-604)BV010177152 |9 1995,26 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007388543 | ||
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| author | Houwen, Pieter J. van der Veen, W. A. van der |
| author_facet | Houwen, Pieter J. van der Veen, W. A. van der |
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| author_sort | Houwen, Pieter J. van der |
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| id | DE-604.BV011033669 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:02:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007388543 |
| oclc_num | 35799561 |
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| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 17 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Houwen, Pieter J. van der Verfasser aut Solving implicit differential equations on parallel computers P. J. van der Houwen ; W. A. van der Veen Amsterdam 1995 17 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1995,26 Abstract: "We construct and analyse three methods for solving initial value problems for implicit differential equations (IDEs) on parallel computer systems. The first IDE method can be applied to general IDEs of higher index, the other two methods can be applied to partitioned (or semi-explicit) IDEs. The partitioned IDE methods both exploit the special form of the problem and often converge faster than the general IDE method. The first partitioned IDE method is suitable for higher-index problems, the second partitioned IDE method only applies to index 1 problems, but possesses more parallelism across the method. The convergence of these methods is illustrated by solving implicit IDEs of index 0 until 3 that are taken from the literature." Datenverarbeitung Differential equations Numerical solutions Data processing Differential-algebraic equations Initial value problems Runge-Kutta formulas Veen, W. A. van der Verfasser aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1995,26 (DE-604)BV010177152 1995,26 |
| spellingShingle | Houwen, Pieter J. van der Veen, W. A. van der Solving implicit differential equations on parallel computers Datenverarbeitung Differential equations Numerical solutions Data processing Differential-algebraic equations Initial value problems Runge-Kutta formulas |
| title | Solving implicit differential equations on parallel computers |
| title_auth | Solving implicit differential equations on parallel computers |
| title_exact_search | Solving implicit differential equations on parallel computers |
| title_full | Solving implicit differential equations on parallel computers P. J. van der Houwen ; W. A. van der Veen |
| title_fullStr | Solving implicit differential equations on parallel computers P. J. van der Houwen ; W. A. van der Veen |
| title_full_unstemmed | Solving implicit differential equations on parallel computers P. J. van der Houwen ; W. A. van der Veen |
| title_short | Solving implicit differential equations on parallel computers |
| title_sort | solving implicit differential equations on parallel computers |
| topic | Datenverarbeitung Differential equations Numerical solutions Data processing Differential-algebraic equations Initial value problems Runge-Kutta formulas |
| topic_facet | Datenverarbeitung Differential equations Numerical solutions Data processing Differential-algebraic equations Initial value problems Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT houwenpieterjvander solvingimplicitdifferentialequationsonparallelcomputers AT veenwavander solvingimplicitdifferentialequationsonparallelcomputers |