Stability of parallel Volterra-Runge-Kutta methods:
Abstract: "In this paper, we analyse parallel iteration of Volterra-Runge-Kutta methods (PIVRK methods) for solving second-kind Volterra integral equations on parallel computers. We focuss [sic] on the determination of the region of convergence C and on the stability region S[subscript m] of th...
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Amsterdam
1992,7
|
| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1992,7 |
| Subjects: | |
| Summary: | Abstract: "In this paper, we analyse parallel iteration of Volterra-Runge-Kutta methods (PIVRK methods) for solving second-kind Volterra integral equations on parallel computers. We focuss [sic] on the determination of the region of convergence C and on the stability region S[subscript m] of the iterated method obtained after m iterations. Results are presented for the convolution test equation. It turns out that the stability region S[subscript m] does not necessarily converge to the stability region S of the corrector. However, for finite m, S[subscript m] need not to be contained in C or S and may be much larger than C." |
| Physical Description: | 11 S. |
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MARC
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| 520 | 3 | |a Abstract: "In this paper, we analyse parallel iteration of Volterra-Runge-Kutta methods (PIVRK methods) for solving second-kind Volterra integral equations on parallel computers. We focuss [sic] on the determination of the region of convergence C and on the stability region S[subscript m] of the iterated method obtained after m iterations. Results are presented for the convolution test equation. It turns out that the stability region S[subscript m] does not necessarily converge to the stability region S of the corrector. However, for finite m, S[subscript m] need not to be contained in C or S and may be much larger than C." | |
| 650 | 4 | |a Runge-Kutta formulas | |
| 650 | 4 | |a Volterra equations | |
| 700 | 1 | |a Crisci, M. R. |e Sonstige |4 oth | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1992,7 |w (DE-604)BV010177152 |9 1992,7 | |
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| id | DE-604.BV010185720 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006766573 |
| oclc_num | 27961200 |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 11 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Stability of parallel Volterra-Runge-Kutta methods Amsterdam 1992,7 11 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1992,7 Abstract: "In this paper, we analyse parallel iteration of Volterra-Runge-Kutta methods (PIVRK methods) for solving second-kind Volterra integral equations on parallel computers. We focuss [sic] on the determination of the region of convergence C and on the stability region S[subscript m] of the iterated method obtained after m iterations. Results are presented for the convolution test equation. It turns out that the stability region S[subscript m] does not necessarily converge to the stability region S of the corrector. However, for finite m, S[subscript m] need not to be contained in C or S and may be much larger than C." Runge-Kutta formulas Volterra equations Crisci, M. R. Sonstige oth Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1992,7 (DE-604)BV010177152 1992,7 |
| spellingShingle | Stability of parallel Volterra-Runge-Kutta methods Runge-Kutta formulas Volterra equations |
| title | Stability of parallel Volterra-Runge-Kutta methods |
| title_auth | Stability of parallel Volterra-Runge-Kutta methods |
| title_exact_search | Stability of parallel Volterra-Runge-Kutta methods |
| title_full | Stability of parallel Volterra-Runge-Kutta methods |
| title_fullStr | Stability of parallel Volterra-Runge-Kutta methods |
| title_full_unstemmed | Stability of parallel Volterra-Runge-Kutta methods |
| title_short | Stability of parallel Volterra-Runge-Kutta methods |
| title_sort | stability of parallel volterra runge kutta methods |
| topic | Runge-Kutta formulas Volterra equations |
| topic_facet | Runge-Kutta formulas Volterra equations |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT criscimr stabilityofparallelvolterrarungekuttamethods |