Year: 1983
Type: article
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.
Source: Mathematics of Computation
Authors: G. J. Cooper, A. Sayfy
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2065888571