ESDIRK methods fro index 2 dae: starting algorithms

• Autores: T. Roldán
• Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort, 2003, ISBN 84-96214-04-4, págs. 345-352
• Idioma: inglés
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• Resumen

  • When semi-explicit differential-algebraic equations are solved with implicit Runge- Kutta methods, the computational effort is dominated by the cost of solving the non-linear systems and therefore it is important to have good starting values to begin the iterations. In this paper we show how to construct an efficient starting algorithm, without additional computational cost, for a class of Runge-Kutta methods in the case of index-2 DAEs.