On the numerical solution of involutive ordinary differential systems: enhanced linear algebra |
| |
| Authors: | Tuomela Jukka; Arponen Teijo; Normi Villesamuli |
| |
| Institution: |
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
|
| |
| 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 Runge–Kutta 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. |
| |
| Keywords: | differential-algebraic equations integral manifolds Runge– Kutta methods symmetric LQ |
| 本文献已被 Oxford 等数据库收录！ |
|
