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. © 2012 Copyright Vilnius Gediminas Technical University.
A Practical Approach for the Derivation of Algebraically Stable Two-Step Runge-Kutta Methods
D'Ambrosio, Raffaele;
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. © 2012 Copyright Vilnius Gediminas Technical University.File in questo prodotto:
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