On the numerical solution of involutive ordinary differential systems: enhanced linear algebra |
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| Authors: | Tuomela, Jukka Arponen, Teijo Normi, Villesamuli |
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| Affiliation: | 1 Department of Mathematics, University of Joensuu, PL 111, 80101 Joensuu, Finland, 2 Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK, 3 Department of Mathematics, University of Joensuu, PL 111, 80101 Joensuu, Finland |
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| Abstract: | ** Email: jukka.tuomela{at}joensuu.fi*** Corresponding author. Email: arponen{at}maths.warwick.ac.uk**** Email: villesamuli.normi{at}joensuu.fi We analyse some RungeKutta type methods for computing1D integral manifolds, i.e. solutions to ordin-ary differentialequations and differential-algebraic equations. We show thatwe can compute the solutions which respect all the constraintsof the problem reliably and reasonably quickly. Moreover, weshow that the so-called impasse points are regular points inour approach and hence require no special attention. |
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| Keywords: | differential-algebraic equations integral manifolds Runge– Kutta methods symmetric LQ |
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