Stability of collocation-based Runge-Kutta-Nyström methods:
Abstract: "We analyse the attainable order and the stability of Runge-Kutta-Nyström (RKN) methods for special second-order initial-value problems derived by collocation techniques. Like collocation methods for first-order equations the step point order of s-stage methods can be raised to 2s if...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1990
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1990,16 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We analyse the attainable order and the stability of Runge-Kutta-Nyström (RKN) methods for special second-order initial-value problems derived by collocation techniques. Like collocation methods for first-order equations the step point order of s-stage methods can be raised to 2s if s is even and to 2s-1 if s is odd. The attainable stage order is one higher and equals s+1. However, the stability results derived in this paper show that we have to pay a high price for the increased stage order." |
| Beschreibung: | 17 S. |
Internformat
MARC
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| 049 | |a DE-91G | ||
| 100 | 1 | |a Houwen, Pieter J. van der |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stability of collocation-based Runge-Kutta-Nyström methods |c P. J. van der Houwen ; B. P. Sommeijer ; Nguyen huu Cong |
| 264 | 1 | |a Amsterdam |c 1990 | |
| 300 | |a 17 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1990,16 | |
| 520 | 3 | |a Abstract: "We analyse the attainable order and the stability of Runge-Kutta-Nyström (RKN) methods for special second-order initial-value problems derived by collocation techniques. Like collocation methods for first-order equations the step point order of s-stage methods can be raised to 2s if s is even and to 2s-1 if s is odd. The attainable stage order is one higher and equals s+1. However, the stability results derived in this paper show that we have to pay a high price for the increased stage order." | |
| 650 | 4 | |a Collocation methods | |
| 700 | 1 | |a Sommeijer, Ben P. |d ca. 20. Jh. |e Verfasser |0 (DE-588)132820269 |4 aut | |
| 700 | 1 | |a Nguyen, Huu Cong |e Verfasser |0 (DE-588)1150724099 |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1990,16 |w (DE-604)BV010177152 |9 1990,16 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006771058 | ||
Datensatz im Suchindex
| _version_ | 1804124593693130752 |
|---|---|
| any_adam_object | |
| author | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Nguyen, Huu Cong |
| author_GND | (DE-588)132820269 (DE-588)1150724099 |
| author_facet | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Nguyen, Huu Cong |
| author_role | aut aut aut |
| author_sort | Houwen, Pieter J. van der |
| author_variant | p j v d h pjvd pjvdh b p s bp bps h c n hc hcn |
| building | Verbundindex |
| bvnumber | BV010190845 |
| ctrlnum | (OCoLC)24601465 (DE-599)BVBBV010190845 |
| format | Book |
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| id | DE-604.BV010190845 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:08Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006771058 |
| oclc_num | 24601465 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 17 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Houwen, Pieter J. van der Verfasser aut Stability of collocation-based Runge-Kutta-Nyström methods P. J. van der Houwen ; B. P. Sommeijer ; Nguyen huu Cong Amsterdam 1990 17 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1990,16 Abstract: "We analyse the attainable order and the stability of Runge-Kutta-Nyström (RKN) methods for special second-order initial-value problems derived by collocation techniques. Like collocation methods for first-order equations the step point order of s-stage methods can be raised to 2s if s is even and to 2s-1 if s is odd. The attainable stage order is one higher and equals s+1. However, the stability results derived in this paper show that we have to pay a high price for the increased stage order." Collocation methods Sommeijer, Ben P. ca. 20. Jh. Verfasser (DE-588)132820269 aut Nguyen, Huu Cong Verfasser (DE-588)1150724099 aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1990,16 (DE-604)BV010177152 1990,16 |
| spellingShingle | Houwen, Pieter J. van der Sommeijer, Ben P. ca. 20. Jh Nguyen, Huu Cong Stability of collocation-based Runge-Kutta-Nyström methods Collocation methods |
| title | Stability of collocation-based Runge-Kutta-Nyström methods |
| title_auth | Stability of collocation-based Runge-Kutta-Nyström methods |
| title_exact_search | Stability of collocation-based Runge-Kutta-Nyström methods |
| title_full | Stability of collocation-based Runge-Kutta-Nyström methods P. J. van der Houwen ; B. P. Sommeijer ; Nguyen huu Cong |
| title_fullStr | Stability of collocation-based Runge-Kutta-Nyström methods P. J. van der Houwen ; B. P. Sommeijer ; Nguyen huu Cong |
| title_full_unstemmed | Stability of collocation-based Runge-Kutta-Nyström methods P. J. van der Houwen ; B. P. Sommeijer ; Nguyen huu Cong |
| title_short | Stability of collocation-based Runge-Kutta-Nyström methods |
| title_sort | stability of collocation based runge kutta nystrom methods |
| topic | Collocation methods |
| topic_facet | Collocation methods |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT houwenpieterjvander stabilityofcollocationbasedrungekuttanystrommethods AT sommeijerbenp stabilityofcollocationbasedrungekuttanystrommethods AT nguyenhuucong stabilityofcollocationbasedrungekuttanystrommethods |