A transformation relating explicit and diagonally-implicit general linear methods

Applied Numerical Mathematics

Volumn 44, Issue 3, 2003, Pages 313-327

  Butcher, J C ^a   Wright, W M ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

General linear methods; Inherent Runge Kutta stability; Nordsieck form; Transformation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS;

LINEAR METHODS;

RUNGE KUTTA METHODS;

EID: 0037298113     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00149-6     Document Type: Article

References (6)

1. Butcher J.C. On the convergence of numerical solutions of ordinary differential equations. Math. Comp. 20:1966;1-10.
2. Butcher J.C. Diagonally implicit multistage integration methods. Appl. Numer. Math. 11:1993;347-363.
3. Butcher J.C. General linear methods for stiff differential equations. BIT. 41:2001;240-264.
4. Butcher J.C., Jackiewicz Z. Construction of high order DIMSIMs for ordinary differential equations. Appl. Numer. Math. 21:1996;385-415.
5. T.M.H. Chan, Algebraic structures for the analysis of numerical methods, Ph.D. Thesis, The University of Auckland, Auckland, 1998.
6. Wright W.M. Explicit general linear methods with inherent Runge-Kutta stability. Numer. Algorithms. 31:2002;381-399.