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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Additive Runge-Kutta methods for stiff ordinary differential equations
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by G. J. Cooper and A. Sayfy PDF
Math. Comp. 40 (1983), 207-218 Request permission


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.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 207-218
  • MSC: Primary 65L05
  • DOI:
  • MathSciNet review: 679441