This paper introduces a new method of detecting and handling discontinuities in arbitrary functions which form part of an ordinary differential equation set. The method has been implemented in conjunction with the Gear [6] integration algorithm for stiff equation sets, published by Hindmarsh[9], but
Efficient integration over discontinuities for differential-algebraic systems
β Scribed by Guiyou Mao; L.R. Petzold
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 743 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0898-1221
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This paper describes a method of automatically detecting and accurately locating discontinuities which occur in many applications of ordinary differential equations. The integration formula is a Runge-Kutta so chosen that accurate values between integration points can be found by Hermite interpolati
A new algorithm and software for numerical sensitivity analysis of differential-algebraic equations are presented. The staggered corrector method proposed has lower computational complexity than both the staggered direct and the simultaneous corrector methods. The results here are especially signifi