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On the numerical solution of involutive ordinary differential systems : enhanced linear algebra
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Tuomela, Jukka, Arponen, Teijo and Normi, Villesamuli. (2006) On the numerical solution of involutive ordinary differential systems : enhanced linear algebra. IMA JOURNAL OF NUMERICAL ANALYSIS, 26 (4). pp. 811-846. ISSN 0272-4979
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Official URL: http://dx.doi.org/10.1093/imanum/dri049
Abstract
We analyse some Runge-Kutta type methods for computing 1D integral manifolds, i.e. solutions to ordinary differential equations and differential-algebraic equations. We show that we can compute the solutions which respect all the constraints of the problem reliably and reasonably quickly. Moreover, we show that the so-called impasse points are regular points in our approach and hence require no special attention.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | IMA JOURNAL OF NUMERICAL ANALYSIS |
| Publisher: | OXFORD UNIV PRESS |
| ISSN: | 0272-4979 |
| Date: | October 2006 |
| Volume: | 26 |
| Number: | 4 |
| Number of Pages: | 36 |
| Page Range: | pp. 811-846 |
| Identification Number: | 10.1093/imanum/dri049 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/32968 |
Data sourced from Thomson Reuters' Web of Knowledge
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