ARK methods for stiff problems

Applied Numerical Mathematics

Volumn 53, Issue 2-4, 2005, Pages 165-181

  Butcher, John C ^a   Rattenbury, Nicolette ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

A stable methods; Almost Runge Kutta methods; Stiff problems

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATRIX ALGEBRA; NUMERICAL METHODS;

A-STABLE METHODS; ALMOST RUNGE-KUTTA METHODS; LINEAR METHODS; STIFF PROBLEMS;

RUNGE KUTTA METHODS;

EID: 14844315748     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.09.033     Document Type: Conference Paper

References (5)

1. J.C. Butcher An introduction to "Almost Runge-Kutta" methods Appl. Numer. Math. 24 1997 331 342
2. J.C. Butcher ARK methods up to order five Numer. Algorithms 17 1998 193 221
3. J.C. Butcher Numerical Methods for Ordinary Differential Equations 2003 Wiley Chichester
4. J.C. Butcher, and N. Moir Experiments with a new fifth order method Numer. Algorithms 33 2003 137 151
5. W. Wright, General Linear Methods with Inherent Runge-Kutta Stability, Ph.D. Thesis, Department of Mathematics, The University of Auckland, 2002