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Block Runge-Kutta methods for the numerical integration of initial value problems in ordinary differential equations. II. The stiff case


Author: J. R. Cash
Journal: Math. Comp. 40 (1983), 193-206
MSC: Primary 65L05
DOI: https://doi.org/10.1090/S0025-5718-1983-0679440-X
MathSciNet review: 679440
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Abstract: The approach described in the first part of this paper is extended to include diagonally implicit Runge-Kutta (DIRK) formulae. The algorithms developed are suitable for the numerical integration of stiff differential systems, and their efficiency is illustrated by means of some numerical examples.


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DOI: https://doi.org/10.1090/S0025-5718-1983-0679440-X
Article copyright: © Copyright 1983 American Mathematical Society

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