Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems:
Abstract: "This paper discusses parallel iteration schemes for collocation-based, symmetric Runge-Kutta (SRK) methods for solving nonstiff initial-value problems. Our main result is the derivation of four A- stable SRK corrector methods of orders 4, 6, 8, and 10 that optimize the rate of conver...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1993
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| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1993,20 |
| Subjects: | |
| Summary: | Abstract: "This paper discusses parallel iteration schemes for collocation-based, symmetric Runge-Kutta (SRK) methods for solving nonstiff initial-value problems. Our main result is the derivation of four A- stable SRK corrector methods of orders 4, 6, 8, and 10 that optimize the rate of convergence when iterated by means of the highly parallel fixed point iteration process. The resulting PISRK method (parallel iterated SRK method) shows considerably increased efficiency when compared with fixed point iteration process applied to Gauss-Legendre correctors." |
| Physical Description: | 10 S. |
Staff View
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| 520 | 3 | |a Abstract: "This paper discusses parallel iteration schemes for collocation-based, symmetric Runge-Kutta (SRK) methods for solving nonstiff initial-value problems. Our main result is the derivation of four A- stable SRK corrector methods of orders 4, 6, 8, and 10 that optimize the rate of convergence when iterated by means of the highly parallel fixed point iteration process. The resulting PISRK method (parallel iterated SRK method) shows considerably increased efficiency when compared with fixed point iteration process applied to Gauss-Legendre correctors." | |
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Record in the Search Index
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| author | Nguyen, Huu Cong |
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| id | DE-604.BV010188305 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006768840 |
| oclc_num | 31499771 |
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| physical | 10 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
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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 Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems Amsterdam 1993 10 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1993,20 Abstract: "This paper discusses parallel iteration schemes for collocation-based, symmetric Runge-Kutta (SRK) methods for solving nonstiff initial-value problems. Our main result is the derivation of four A- stable SRK corrector methods of orders 4, 6, 8, and 10 that optimize the rate of convergence when iterated by means of the highly parallel fixed point iteration process. The resulting PISRK method (parallel iterated SRK method) shows considerably increased efficiency when compared with fixed point iteration process applied to Gauss-Legendre correctors." Runge-Kutta formulas Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1993,20 (DE-604)BV010177152 1993,20 |
| spellingShingle | Nguyen, Huu Cong Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems Runge-Kutta formulas |
| title | Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems |
| title_auth | Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems |
| title_exact_search | Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems |
| title_full | Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems |
| title_fullStr | Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems |
| title_full_unstemmed | Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems |
| title_short | Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems |
| title_sort | parallel iteration of symmetric runge kutta methods for nonstiff initial value problems |
| topic | Runge-Kutta formulas |
| topic_facet | Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT nguyenhuucong paralleliterationofsymmetricrungekuttamethodsfornonstiffinitialvalueproblems |