A new test frame for ordinary differential equation solvers:
Abstract: "Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed and new problems are still collected. So, a whole variety of problems can be used to check the efficiency of a method under investigation. In general, efficiency is measured by the amo...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1997
|
| Schriftenreihe: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1997,68 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed and new problems are still collected. So, a whole variety of problems can be used to check the efficiency of a method under investigation. In general, efficiency is measured by the amount of work which is necessary to get a reliable solution for a prescribed accuracy. In order to quantify the term 'amount of work' usually not only the computing time is measured but also the number of calls of functional units. To quantify the term 'quality of a numerical solution' usually the l₂-norm of the true error at the final point of the integration interval is used. In our contribution we first discuss some general aspects of benchmarking. Then we present a new test frame which allows to solve typical benchmark problems with some of the state of the art integrators within a unified framework. Finally we show some results of our benchmark tests. Part of the test frame can be used interactively in the World Wide Web." |
| Beschreibung: | 7 S. Ill., graph. Darst. |
Internformat
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| 100 | 1 | |a Nowak, Ulrich |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A new test frame for ordinary differential equation solvers |c Ulrich Nowak ; Susanna Gebauer |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1997 | |
| 300 | |a 7 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1997,68 | |
| 520 | 3 | |a Abstract: "Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed and new problems are still collected. So, a whole variety of problems can be used to check the efficiency of a method under investigation. In general, efficiency is measured by the amount of work which is necessary to get a reliable solution for a prescribed accuracy. In order to quantify the term 'amount of work' usually not only the computing time is measured but also the number of calls of functional units. To quantify the term 'quality of a numerical solution' usually the l₂-norm of the true error at the final point of the integration interval is used. In our contribution we first discuss some general aspects of benchmarking. Then we present a new test frame which allows to solve typical benchmark problems with some of the state of the art integrators within a unified framework. Finally we show some results of our benchmark tests. Part of the test frame can be used interactively in the World Wide Web." | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Initial value problems | |
| 700 | 1 | |a Gebauer, Susanna |d 1972- |e Verfasser |0 (DE-588)120158752 |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1997,68 |w (DE-604)BV004801715 |9 1997,68 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010360941 | ||
Datensatz im Suchindex
| _version_ | 1804130046527406080 |
|---|---|
| any_adam_object | |
| author | Nowak, Ulrich Gebauer, Susanna 1972- |
| author_GND | (DE-588)120158752 |
| author_facet | Nowak, Ulrich Gebauer, Susanna 1972- |
| author_role | aut aut |
| author_sort | Nowak, Ulrich |
| author_variant | u n un s g sg |
| building | Verbundindex |
| bvnumber | BV017190026 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)39980970 (DE-599)BVBBV017190026 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017190026 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:14:48Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010360941 |
| oclc_num | 39980970 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 7 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Nowak, Ulrich Verfasser aut A new test frame for ordinary differential equation solvers Ulrich Nowak ; Susanna Gebauer Berlin Konrad-Zuse-Zentrum für Informationstechnik 1997 7 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,68 Abstract: "Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed and new problems are still collected. So, a whole variety of problems can be used to check the efficiency of a method under investigation. In general, efficiency is measured by the amount of work which is necessary to get a reliable solution for a prescribed accuracy. In order to quantify the term 'amount of work' usually not only the computing time is measured but also the number of calls of functional units. To quantify the term 'quality of a numerical solution' usually the l₂-norm of the true error at the final point of the integration interval is used. In our contribution we first discuss some general aspects of benchmarking. Then we present a new test frame which allows to solve typical benchmark problems with some of the state of the art integrators within a unified framework. Finally we show some results of our benchmark tests. Part of the test frame can be used interactively in the World Wide Web." Differential equations Initial value problems Gebauer, Susanna 1972- Verfasser (DE-588)120158752 aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1997,68 (DE-604)BV004801715 1997,68 |
| spellingShingle | Nowak, Ulrich Gebauer, Susanna 1972- A new test frame for ordinary differential equation solvers Differential equations Initial value problems |
| title | A new test frame for ordinary differential equation solvers |
| title_auth | A new test frame for ordinary differential equation solvers |
| title_exact_search | A new test frame for ordinary differential equation solvers |
| title_full | A new test frame for ordinary differential equation solvers Ulrich Nowak ; Susanna Gebauer |
| title_fullStr | A new test frame for ordinary differential equation solvers Ulrich Nowak ; Susanna Gebauer |
| title_full_unstemmed | A new test frame for ordinary differential equation solvers Ulrich Nowak ; Susanna Gebauer |
| title_short | A new test frame for ordinary differential equation solvers |
| title_sort | a new test frame for ordinary differential equation solvers |
| topic | Differential equations Initial value problems |
| topic_facet | Differential equations Initial value problems |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT nowakulrich anewtestframeforordinarydifferentialequationsolvers AT gebauersusanna anewtestframeforordinarydifferentialequationsolvers |