A Multistep Generalization of Runge - Kutta Methods with 4 or 5 Stages
نویسنده
چکیده
To obtain high order integration methods for ordinary differential equations which combine to some extent the advantages of RungeKutta methods on one hand and linear multistep methods on the other, the use of “modified multistep” or “hybrid” methods has been proPosedIll, PI, 131. In this paper formulae are derived for methods which use one extra intermediate point than in the previously pub lished methods so that they are analogues of the fourth order RungeKutta method. A five stage method of order 7 is also given. (Submitted to Journal of the Association for Computing Machinery) * Work supported by the U. S. Atomic Energy Commission.
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تاریخ انتشار 1999