Order and stability of parallel methods for stiff problems

Advances in Computational Mathematics

Volumn 7, Issue 1-2, 1997, Pages 79-96

  Butcher, J C ^a  

^a NONE

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EID: 0031522243     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018934516771     Document Type: Article

References (7)

1. J. C. Butcher, Diagonally-implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993) 347-363.
2. J. C. Butcher, A transformation for the analysis of DIMSIMs, BIT 34 (1994) 25-32.
3. P. E. Chartier, L-stable parallel one-block methods for ordinary differential equations, SIAM J. Numer. Anal. (1994).
4. A. Iserles and S. P. Nørsett, On the theory of parallel Runge-Kutta methods, IMA J. Numer. Anal. 10 (1990) 463-488.
5. G. Polya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis (Springer, Berlin, 1925).
6. P. J. van der Houwen and B. P. Sommeijer, Parallel iteration of high-order Runge-Kutta methods with stepsize control, J. Comput. Appl. Math. 29 (1990) 111-127.
7. E. T. Whitaker and G. N. Watson, A Course of Modern Analysis (Cambridge University Press, 1915).