EPOCH: a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations
Abstract: "This paper presents a new discretization scheme for the efficient integration of highly oscillatory second-order differential equations. The construction of the method is based on the principle of coherence due to Hersch. The analysis proves consistency, P-stability, and a phase-lag...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
München
1993
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| Series: | Technische Universität <München>: TUM-MATH
9321 |
| Subjects: | |
| Summary: | Abstract: "This paper presents a new discretization scheme for the efficient integration of highly oscillatory second-order differential equations. The construction of the method is based on the principle of coherence due to Hersch. The analysis proves consistency, P-stability, and a phase-lag of the order [infinity] for the multistep formulas. The variable step size variable order multistep code EPCOH integrates efficiently and reliably problems arising from circuit simulation and mechanics." |
| Physical Description: | 19 S. graph. Darst. |
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| 490 | 1 | |a Technische Universität <München>: TUM-MATH |v 9321 | |
| 520 | 3 | |a Abstract: "This paper presents a new discretization scheme for the efficient integration of highly oscillatory second-order differential equations. The construction of the method is based on the principle of coherence due to Hersch. The analysis proves consistency, P-stability, and a phase-lag of the order [infinity] for the multistep formulas. The variable step size variable order multistep code EPCOH integrates efficiently and reliably problems arising from circuit simulation and mechanics." | |
| 650 | 4 | |a Differential equations | |
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| id | DE-604.BV009298118 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:34:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006187383 |
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| physical | 19 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
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| series | Technische Universität <München>: TUM-MATH |
| series2 | Technische Universität <München>: TUM-MATH |
| spelling | Denk, Georg Verfasser aut EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations Georg Denk München 1993 19 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Technische Universität <München>: TUM-MATH 9321 Abstract: "This paper presents a new discretization scheme for the efficient integration of highly oscillatory second-order differential equations. The construction of the method is based on the principle of coherence due to Hersch. The analysis proves consistency, P-stability, and a phase-lag of the order [infinity] for the multistep formulas. The variable step size variable order multistep code EPCOH integrates efficiently and reliably problems arising from circuit simulation and mechanics." Differential equations Technische Universität <München>: TUM-MATH 9321 (DE-604)BV006186461 9321 |
| spellingShingle | Denk, Georg EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations Technische Universität <München>: TUM-MATH Differential equations |
| title | EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations |
| title_auth | EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations |
| title_exact_search | EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations |
| title_full | EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations Georg Denk |
| title_fullStr | EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations Georg Denk |
| title_full_unstemmed | EPOCH a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations Georg Denk |
| title_short | EPOCH |
| title_sort | epoch a coherent p stable discretization scheme for highly oscillatory ordinary differential equations |
| title_sub | a coherent P-stable discretization scheme for highly oscillatory ordinary differential equations |
| topic | Differential equations |
| topic_facet | Differential equations |
| volume_link | (DE-604)BV006186461 |
| work_keys_str_mv | AT denkgeorg epochacoherentpstablediscretizationschemeforhighlyoscillatoryordinarydifferentialequations |