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Stability of some continuously imbedded Runge-Kutta methods of Sarafyan

By S. Thompson

Abstract

AbstractSarafyan and others have recently developed novel explicit Runge-Kutta methods. Associated with each method is an imbedded polynomial which interpolates the Runge-Kutta method and which is itself a Runge-Kutta approximation at non-meshpoints. In this paper, we show that the interpolation polynomials possess the desirable stability properties of the Runge-Kutta methods

Publisher: Published by Elsevier Ltd.
Year: 1987
DOI identifier: 10.1016/0898-1221(87)90040-X
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