Cheap Error Estimation for Runge-Kutta Methods

Abstract

Explicit Runge–Kutta (RK) methods in the form of pairs of orders p (p− 1) provide an attractive means for the solution of initial value problems of first-order differential equations. Most existing RK formulas (single methods as well as pairs) use the minimal number of stages required for achieving a prescribed order. In this article we shall study, in… (More)
DOI: 10.1137/S1064827596302230

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Cite this paper

@article{Tsitouras1999CheapEE, title={Cheap Error Estimation for Runge-Kutta Methods}, author={Charalampos Tsitouras and S. N. Papakostas}, journal={SIAM J. Scientific Computing}, year={1999}, volume={20}, pages={2067-2088} }