ESIRK methods and variable stepsize

Applied Numerical Mathematics

Volumn 28, Issue 2-4, 1998, Pages 193-207

  Butcher, J C ^a   Chen, D J L ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Effective order; Singly implicit Runge Kutta methods; Variable stepsize

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; MATRIX ALGEBRA; PROBLEM SOLVING;

EFFECTIVE ORDER; ESIRK METHODS; VARIABLE STEPSIZE;

RUNGE KUTTA METHODS;

EID: 0032182591     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00076-2     Document Type: Article

References (3)

1. J.C. Butcher, The effective order of Runge-Kutta methods, in: Proc. of Conference on the Numerical Solution of Differential Equations, Lecture Notes in Mathematics, Vol. 109 (1969) 133-139.
2. J.C. Butcher and P. Chartier, A generalization of singly-implicit Runge-Kutta methods, Appl. Numer. Math. 24 (1997) 343-350.
3. J.C. Butcher and P. Chartier, The effective order of singly-implicit Runge-Kutta methods, in preparation.