A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods
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.
Keywords:
ordinary differential equations, two-step Runge-Kutta methods, general linear methods, G-stability, algebraic stabilityHow to Cite
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.