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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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
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

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