Abstract
Multirate time stepping is a numerical technique for efficiently solving large-scale ordinary differential equations (ODEs) with widely different time scales localized over the components. This technique enables one to use large time steps for slowly time-varying components, and small steps for rapidly varying ones. In this paper we describe a self-adjusting multirate time stepping strategy, in which the step size for a particular component is determined by its own local temporal variation, instead of using a single step size for the whole system. We primarily consider Rosenbrock methods, suitable for stiff or mildly stiff ODEs.
| Original language | English |
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| Title of host publication | Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece |
| Editors | T.E. Simos, G. Psihoyios, C. Tsi touras |
| Place of Publication | Melville NY |
| Publisher | American Institute of Physics |
| Pages | 492-495 |
| ISBN (Print) | 978-0-7354-0447-2 |
| DOIs | |
| Publication status | Published - 2007 |
| Event | 5th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) - Hotel Marbella, Corfu, Greece Duration: 16 Sept 2007 → 20 Sept 2007 Conference number: 5 |
Publication series
| Name | AIP Conference Proceedings |
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| Volume | 936 |
| ISSN (Print) | 0094-243X |
Conference
| Conference | 5th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) |
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| Abbreviated title | ICNAAM 2007 |
| Country/Territory | Greece |
| City | Corfu |
| Period | 16/09/07 → 20/09/07 |