The construction of order 4 DIMSIMs for ordinary differential equations

Numerical Algorithms

Volumn 26, Issue 2, 2001, Pages 123-130

  Wright, W M ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Ordinary differential equations; Runge Kutta stability; Variable stepsize

Indexed keywords

EID: 0035616409     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016611914097     Document Type: Article

References (8)

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2. J.C. Butcher, A transformation for the analysis of DIMSIMs, BIT 11 (1993) 347-363.
3. J.C. Butcher, P. Chartier and Z. Jackiewicz, Nordsieck representation of DIMSIMs, Numer. Algorithms 16 (1997) 209-230.
4. J.C. Butcher, P. Chartier and Z. Jackiewicz, Experiments with a variable-order type 1 DIMSIM code, Numer. Algorithms 22 (1999) 237-261.
5. J.C. Butcher and Z. Jackiewicz, Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations, Appl. Numer. Math. 21 (1996) 385-415.
6. J.C. Butcher and Z. Jackiewicz, Construction of high order DIMSIMs for ordinary differential equations, Appl. Numer. Math. 27 (1998) 1-12.
7. J.C. Butcher, Z. Jackiewicz and H.D. Mittelmann, A nonlinear optimization approach to the construction of general linear methods of high order, Comp. Appl. Math. 81 (1997) 181-196.
8. E. Hairer and G. Wanner, Solving Ordinary Differential Equations, II. Stiff and Differential Algebraic Problems (Springer, Berlin, 1996).