A reliable error estimation for diagonally implicit multistage integration methods

BIT Numerical Mathematics

Volumn 41, Issue 4, 2001, Pages 656-665

  Butcher, J C ^a   Jackiewicz, Z ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

DIMSIM methods; Local error estimation; Nordsieck representation

Indexed keywords

EID: 0042318570     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021987717046     Document Type: Article

References (3)

1. J. C. Butcher, P. Chartier, and Z. Jackiewicz, Nordsieck representation of DIMSIMs, Numer. Algorithms, 16 (1997), pp. 209-230.
2. J. C. Butcher, P. Chartier, and Z. Jackiewicz, Experiments with a variable-order type 1 DIMSIM code, Numer. Algorithms, 22 (1999), pp. 237-261.
3. J. C. Butcher and Z. Jackiewicz, Implementation of diagonally implicit multistage integration methods for ordinary differential equations, SIAM J. Numer. Anal., 34 (1997), pp. 2119-2141.