Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Additive Runge-Kutta methods for stiff ordinary differential equations


Authors: G. J. Cooper and A. Sayfy
Journal: Math. Comp. 40 (1983), 207-218
MSC: Primary 65L05
DOI: https://doi.org/10.1090/S0025-5718-1983-0679441-1
MathSciNet review: 679441
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Certain pairs of Runge-Kutta methods may be used additively to solve a system of n differential equations $ x' = J(t)x + g(t,x)$. Pairs of methods, of order $ p \leqslant 4$, where one method is semiexplicit and A-stable and the other method is explicit, are obtained. These methods require the LU factorization of one $ n \times n$ matrix, and p evaluations of g, in each step. It is shown that such methods have a stability property which is similar to a stability property of perturbed linear differential equations.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65L05

Retrieve articles in all journals with MSC: 65L05


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1983-0679441-1
Article copyright: © Copyright 1983 American Mathematical Society