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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. doi:10.1093/imanum/dri049 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 | ||||
| Official Date: | October 2006 | ||||
| Dates: |
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| Volume: | 26 | ||||
| Number: | 4 | ||||
| Number of Pages: | 36 | ||||
| Page Range: | pp. 811-846 | ||||
| DOI: | 10.1093/imanum/dri049 | ||||
| Publication Status: | Published |
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