General linear methods with external stages of different orders

BIT Numerical Mathematics

Volumn 36, Issue 4, 1996, Pages 688-712

  Jackiewicz, Z ^a   Vermiglio, R ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF UDINE   (Italy)

Author keywords

Error estimation; General linear methods; Order conditions; Stage errors

Indexed keywords

EID: 0001472260     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01733788     Document Type: Article

References (9)

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3. J. C. Butcher, The Numerical Analysis of Ordinary Differential Equations, John Wiley and Sons, New York, 1987.
4. J. C. Butcher, Diagonally-implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993), pp. 347-364.
5. J. C. Butcher and Z. Jackiewicz, Diagonally implicit general linear methods for ordinary differential equations, BIT 33 (1993), pp. 452-472.
6. J. C. Butcher and Z. Jackiewicz, Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations, to appear in Appl. Numer. Math..
7. J. D. Lambert, Numerical Methods for Ordinary Differential Systems, John Wiley & Sons, Chichester, 1991.
8. Z. Jackiewicz and S. Tracogna, A general class of two-step Runge-Kutta methods for ordinary differential equations, SIAM J. Numer. Anal. 32 (1995), pp. 1390-1427.
9. Z. Jackiewicz, R. Vermiglio and M. Zennaro, Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations, Appl. Numer. Math. 16 (1995), pp. 343-367.