Starting algorithms for some DIRK methods

Numerical Algorithms

Volumn 23, Issue 4, 2000, Pages 357-369

  Higueras, Inmaculada ^a   Roldán, Teo ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

DIRK methods; Starting algorithms

Indexed keywords

EID: 0042727597     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019112419829     Document Type: Article

References (9)

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3. I. Higueras and T. Roldán, Starting algorithms for some SDIRK methods, Preprint, Dpto. Matemática e Informática, UPNA, Sec. 1, n. 2 (1999).
4. M.P. Laburta, Starting algorithms for IRK methods, J. Comput. Appl. Math. 83 (1997) 269-288.
5. W.M. Lioen and J.J.B. de Swart, Test Set for Initial Value Problem Solvers (The Netherlands, 1998).
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7. T. Roldán and I. Higueras, IRK methods for DAE Starting algorithms, J. Comput. Appl. Math. 111 (1999) 77-92.
8. J. Sand, Methods for starting iterations schemes for implicit Ruge-Kutta formulae, Department of Computer Science, University Copenhagen, Denmark (1989).
9. P.J. Van der Houwen and B.P. Sommeijer, Diagonally implicit Runge-Kutta methods, SIAM J. Numer. Anal. 26 (1989) 214-229.