A Class of Implicit Runge-Kutta Methods for the Numerical Integration of Stiff Ordinary Differential Equations
- 1 October 1975
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 22 (4) , 504-511
- https://doi.org/10.1145/321906.321915
Abstract
One-step methods similar in design to the well-known class of Runge-Kutta methods are developed for the efficient numerical integration of both stiff and nonstiff systems of first-order ordinary differential equations The algomthms developed combine accuracy in the hrait h --~ 0 with a large regmn of absolute stabdity and are demonstrated by direct apphcation to certain particular examples.Keywords
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