Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems

Abstract

A new strategy to avoid the order reduction of Runge-Kutta methods when integrating linear, autonomous, nonhomogeneous initial boundary value problems is presented. The solution is decomposed into two parts. One of them can be computed directly in terms of the data and the other satisfies an initial value problem without any order reduction. A numerical… (More)
DOI: 10.1090/S0025-5718-01-01362-X

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Cite this paper

@article{Calvo2002AvoidingTO, title={Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems}, author={Mari Paz Calvo and Cesar Palencia}, journal={Math. Comput.}, year={2002}, volume={71}, pages={1529-1543} }