New type of singly-implicit Runge-Kutta method

Applied Numerical Mathematics

Volumn 34, Issue 2, 2000, Pages 179-188

  Butcher, J C ^a   Chen, D J L ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b LING TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MATRIX ALGEBRA; POLES AND ZEROS; PROBLEM SOLVING;

COEFFICIENT MATRIX; SINGLY IMPLICIT RUNGE-KUTTA METHOD; STABILITY FUNCTION;

RUNGE KUTTA METHODS;

EID: 0034227240     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00126-9     Document Type: Article

References (6)

1. [1] Rr. Alexander, Diagonally implicit Runge - Kutta methods for stiff ODEs, SIAM J. Numer. Anal. 14 (1977) 1006-1021.
2. [2] K. Burrage, A special family of Runge - Kutta methods for solving stiff differential equations, BIT 18 (1978) 22-41.
3. [3] J.C. Butcher, On the implementation of implicit Runge - Kutta methods, BIT 16 (1976) 237-240.
4. [4] J.C. Butcher, The Numerical Analysis of Ordinary Differential Equations, Wiley, New York, 1987.
5. [5] J.C. Butcher, J.R. Cash, Towards efficient Runge - Kutta methods for stiff systems, SIAM J. Numer. Anal. 27 (1990) 753-761.
6. [6] J.C. Butcher, J.R. Cash, M.T. Diamantakis, DESI methods for stiff initial-value problems, ACM Trans. Math. Software 22 (1996) 401-422.