IRK methods for index 2 and 3 DAEs: Starting algorithms

BIT Numerical Mathematics

Volumn 43, Issue 1, 2003, Pages 67-92

  Higueras, I ^a   Roldan T ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

DA series; Differential algebraic equations; Iterative schemes; Runge Kutta methods; Starting algorithms

Indexed keywords

EID: 4043087673     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023640704609     Document Type: Article

References (10)

1. Walter M. Lioen and Jacques J. B. de Swart, Test Set for Initial Value Problem Solvers, Amsterdam, available at http://www.cwi.nl/cwi/projects/ IVPtestset.
2. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems, Springer, Berlin, 1991.
3. E. Hairer, Ch. Lubich and M. Roche, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics 1409, Springer, Berlin, 1989.
4. I. Higueras and T. Roldán, Starting algorithms for some DIRK methods, Numerical Algorithms, 23 (2000) 357-369.
5. I. Higueras and T. Roldán, IRK methods for index-2 DAE: Starting algorithms, preprint no.3, Departamento de Matemática e Informática, Universidad Pública de Navarra, 1999.
6. I. Higueras and T. Roldán, Starting algorithms for index-3 DAEs, preprint no.9, Departamento de Matemática e Informática, Universidad Pública de Navarra, 2000.
7. L. Jay, Métodes du type Runge-Kutta pour des équations différentielles algébriques d'index 3 avec des applications aux systèmes Hamiltoniens. Ph.D., Université de Genève. 1994.
8. H. Olsson and G. Söderlind, Stage value predictors and efficient Newton iterations in implicit Runge-Kutta methods. SISC 20:1 (1999), 185-202.
9. T. Roldán and I. Higueras, IRK methods for DAE: Starting algorithms, Journal of Computational and Applied Mathematics 111 (1999), pp. 77-92.
10. T. Roldán, Implicit Runge-Kutta methods for DAEs: starting algorithms. Ph.D., Universidad Pública de Navarra, 2000.