We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.

A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods

CONTE, Dajana;D'AMBROSIO, RAFFAELE;PATERNOSTER, Beatrice
2012-01-01

Abstract

We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3094654
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