Note on the performance of direct and indirect Runge-Kutta-Nyström methods:
Abstract: "This paper deals with predictor-corrector iteration of Runge-Kutta-Nyström (RKN) methods for integrating initial-value problems for special second-order, ordinary differential equations. We consider RKN correctors based on both direct and indirect collocation techniques. The paper fo...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1992
|
| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1992,14 |
| Subjects: | |
| Summary: | Abstract: "This paper deals with predictor-corrector iteration of Runge-Kutta-Nyström (RKN) methods for integrating initial-value problems for special second-order, ordinary differential equations. We consider RKN correctors based on both direct and indirect collocation techniques. The paper focusses on the convergence factors and stability regions of the iterated RKN correctors. It turns out that the methods based on direct collocation RKN correctors possess smaller convergence than those based on idirect collocation RKN correctors. Both families of methods have sufficiently large stability boundaries for nonstiff problems." |
| Physical Description: | 11 S. |
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| 520 | 3 | |a Abstract: "This paper deals with predictor-corrector iteration of Runge-Kutta-Nyström (RKN) methods for integrating initial-value problems for special second-order, ordinary differential equations. We consider RKN correctors based on both direct and indirect collocation techniques. The paper focusses on the convergence factors and stability regions of the iterated RKN correctors. It turns out that the methods based on direct collocation RKN correctors possess smaller convergence than those based on idirect collocation RKN correctors. Both families of methods have sufficiently large stability boundaries for nonstiff problems." | |
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Record in the Search Index
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| author | Nguyen, Huu Cong |
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| bvnumber | BV010185994 |
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| id | DE-604.BV010185994 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006766814 |
| oclc_num | 29451521 |
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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 | Nguyen, Huu Cong Verfasser (DE-588)1150724099 aut Note on the performance of direct and indirect Runge-Kutta-Nyström methods Amsterdam 1992 11 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1992,14 Abstract: "This paper deals with predictor-corrector iteration of Runge-Kutta-Nyström (RKN) methods for integrating initial-value problems for special second-order, ordinary differential equations. We consider RKN correctors based on both direct and indirect collocation techniques. The paper focusses on the convergence factors and stability regions of the iterated RKN correctors. It turns out that the methods based on direct collocation RKN correctors possess smaller convergence than those based on idirect collocation RKN correctors. Both families of methods have sufficiently large stability boundaries for nonstiff problems." Runge-Kutta formulas Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1992,14 (DE-604)BV010177152 1992,14 |
| spellingShingle | Nguyen, Huu Cong Note on the performance of direct and indirect Runge-Kutta-Nyström methods Runge-Kutta formulas |
| title | Note on the performance of direct and indirect Runge-Kutta-Nyström methods |
| title_auth | Note on the performance of direct and indirect Runge-Kutta-Nyström methods |
| title_exact_search | Note on the performance of direct and indirect Runge-Kutta-Nyström methods |
| title_full | Note on the performance of direct and indirect Runge-Kutta-Nyström methods |
| title_fullStr | Note on the performance of direct and indirect Runge-Kutta-Nyström methods |
| title_full_unstemmed | Note on the performance of direct and indirect Runge-Kutta-Nyström methods |
| title_short | Note on the performance of direct and indirect Runge-Kutta-Nyström methods |
| title_sort | note on the performance of direct and indirect runge kutta nystrom methods |
| topic | Runge-Kutta formulas |
| topic_facet | Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT nguyenhuucong noteontheperformanceofdirectandindirectrungekuttanystrommethods |