Error estimation for Nordsieck methods

Numerical Algorithms

Volumn 31, Issue 1-4, 2002, Pages 75-85

  Butcher, J C ^a   Jackiewicz, Z ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Error estimation; General linear methods; Nordsieck methods; Step changing strategy

Indexed keywords

EID: 0036441464     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021152005287     Document Type: Conference Paper

References (10)

1. J.C. Butcher, Diagonally-implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993) 347-363.
2. J.C. Butcher, P. Chartier and Z. Jackiewicz, Nordsieck representation of DIMSIMs, Numer. Algorithms 16 (1997) 209-230.
3. J.C. Butcher, P. Chartier and Z. Jackiewicz, Experiments with a variable-order type 1 DIMSIM code, Numer. Algorithms 22 (1999) 237-261.
4. 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.
5. J.C. Butcher and Z. Jackiewicz, Implementation of diagonally implicit multistage integration methods for ordinary differential equations, SIAM J. Numer. Anal. 34 (1997) 2119-2141.
6. J.C. Butcher and Z. Jackiewicz, Construction of high order diagonally implicit multistage integration methods for ordinary differential equations, Appl. Numer. Math. 27 (1998) 1-12.
7. J.C. Butcher and Z. Jackiewicz, A reliable error estimation for diagonally implicit integration methods, BIT 41 (2001) 656-665.
8. E. Hairer, S.P. Nørsett and G. Wanner, Solving Ordinary Differential Equations I. Nonstiff Problems (Springer, Berlin, 1993).
9. Z. Jackiewicz, Implementation of DIMSIMs for stiff differential systems, to appear in Appl. Numer. Math.
10. L.F. Shampine, Numerical Solution of Ordinary Differential Equations (Chapman & Hall, New York/London, 1994).