Explicit parallel two-step Runge-Kutta-Nyström methods:
Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström methods of arbitrarily high order for the special second-order equation y''(t)=f(y(t)) for use on parallel computers. Starting with an s-stage implicit two-step Runge-Kutta-Nyström method of order p...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1994
|
| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1994,1 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström methods of arbitrarily high order for the special second-order equation y''(t)=f(y(t)) for use on parallel computers. Starting with an s-stage implicit two-step Runge-Kutta-Nyström method of order p with k=p/2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)[superscript m]E mode. In this way, we obtain an explicit two-step Runge-Kutta-Nyström method that has order p for all m and that requires k(m+1) righthand side evaluations per step of which each k evaluations can be computed in parallel. By a number of numerical experiments we show the superiority of the parallel predictor-corrector methods proposed in this paper over both sequential and parallel methods available in the literature." |
| Beschreibung: | 13 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010188396 | ||
| 003 | DE-604 | ||
| 005 | 20180302 | ||
| 007 | t | ||
| 008 | 950518s1994 |||| 00||| engod | ||
| 035 | |a (OCoLC)32230930 | ||
| 035 | |a (DE-599)BVBBV010188396 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G | ||
| 100 | 1 | |a Nguyen, Huu Cong |e Verfasser |0 (DE-588)1150724099 |4 aut | |
| 245 | 1 | 0 | |a Explicit parallel two-step Runge-Kutta-Nyström methods |
| 264 | 1 | |a Amsterdam |c 1994 | |
| 300 | |a 13 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 1994,1 | |
| 520 | 3 | |a Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström methods of arbitrarily high order for the special second-order equation y''(t)=f(y(t)) for use on parallel computers. Starting with an s-stage implicit two-step Runge-Kutta-Nyström method of order p with k=p/2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)[superscript m]E mode. In this way, we obtain an explicit two-step Runge-Kutta-Nyström method that has order p for all m and that requires k(m+1) righthand side evaluations per step of which each k evaluations can be computed in parallel. By a number of numerical experiments we show the superiority of the parallel predictor-corrector methods proposed in this paper over both sequential and parallel methods available in the literature." | |
| 650 | 4 | |a Runge-Kutta formulas | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1994,1 |w (DE-604)BV010177152 |9 1994,1 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006768917 | ||
Datensatz im Suchindex
| _version_ | 1804124589940277248 |
|---|---|
| any_adam_object | |
| author | Nguyen, Huu Cong |
| author_GND | (DE-588)1150724099 |
| author_facet | Nguyen, Huu Cong |
| author_role | aut |
| author_sort | Nguyen, Huu Cong |
| author_variant | h c n hc hcn |
| building | Verbundindex |
| bvnumber | BV010188396 |
| ctrlnum | (OCoLC)32230930 (DE-599)BVBBV010188396 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01793nam a2200289 cb4500</leader><controlfield tag="001">BV010188396</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180302 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950518s1994 |||| 00||| engod</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)32230930</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010188396</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Nguyen, Huu Cong</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1150724099</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Explicit parallel two-step Runge-Kutta-Nyström methods</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">13 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM</subfield><subfield code="v">1994,1</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström methods of arbitrarily high order for the special second-order equation y''(t)=f(y(t)) for use on parallel computers. Starting with an s-stage implicit two-step Runge-Kutta-Nyström method of order p with k=p/2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)[superscript m]E mode. In this way, we obtain an explicit two-step Runge-Kutta-Nyström method that has order p for all m and that requires k(m+1) righthand side evaluations per step of which each k evaluations can be computed in parallel. By a number of numerical experiments we show the superiority of the parallel predictor-corrector methods proposed in this paper over both sequential and parallel methods available in the literature."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Runge-Kutta formulas</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Afdeling Numerieke Wiskunde: Report NM</subfield><subfield code="t">Centrum voor Wiskunde en Informatica <Amsterdam></subfield><subfield code="v">1994,1</subfield><subfield code="w">(DE-604)BV010177152</subfield><subfield code="9">1994,1</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006768917</subfield></datafield></record></collection> |
| id | DE-604.BV010188396 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006768917 |
| oclc_num | 32230930 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 13 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Nguyen, Huu Cong Verfasser (DE-588)1150724099 aut Explicit parallel two-step Runge-Kutta-Nyström methods Amsterdam 1994 13 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1994,1 Abstract: "The aim of this paper is to design a class of two-step Runge-Kutta-Nyström methods of arbitrarily high order for the special second-order equation y''(t)=f(y(t)) for use on parallel computers. Starting with an s-stage implicit two-step Runge-Kutta-Nyström method of order p with k=p/2 implicit stages, we apply the highly parallel predictor-corrector iteration process in P(EC)[superscript m]E mode. In this way, we obtain an explicit two-step Runge-Kutta-Nyström method that has order p for all m and that requires k(m+1) righthand side evaluations per step of which each k evaluations can be computed in parallel. By a number of numerical experiments we show the superiority of the parallel predictor-corrector methods proposed in this paper over both sequential and parallel methods available in the literature." Runge-Kutta formulas Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1994,1 (DE-604)BV010177152 1994,1 |
| spellingShingle | Nguyen, Huu Cong Explicit parallel two-step Runge-Kutta-Nyström methods Runge-Kutta formulas |
| title | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_auth | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_exact_search | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_full | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_fullStr | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_full_unstemmed | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_short | Explicit parallel two-step Runge-Kutta-Nyström methods |
| title_sort | explicit parallel two step runge kutta nystrom methods |
| topic | Runge-Kutta formulas |
| topic_facet | Runge-Kutta formulas |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT nguyenhuucong explicitparalleltwosteprungekuttanystrommethods |