Consistency of a class of RK methods for index-2 DAEs

• Autores: Teodoro Roldán Marrodán, Inmaculada Higueras Sanz
• Localización: VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques / coord. por Manuel Pedro Palacios Latasa, David Trujillo, Juan José Torrens Iñigo, Monique Madaune-Tort, María Cruz López de Silanes Busto, Gerardo Sanz Sáiz, 2003, ISBN 84-7733-720-9, págs. 179-188
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • When index 2 semi-explicit differential algebraic equations (DAEs) are solved with a Runge-Kutta method (A, b), a standard assumption is the regularity of the matrix coefficient A. However, Runge-Kutta methods with singular matrix coefficient A can also be used for index 2 DAEs if the matrix A has a special structure. In this case, the standard consistency analysis is not longer valid. In this paper we give conditions to ensure a certain order of consistency.