A stability property of implicit Runge-Kutta methods
@article{Butcher1975ASP, title={A stability property of implicit Runge-Kutta methods}, author={John C. Butcher}, journal={BIT Numerical Mathematics}, year={1975}, volume={15}, pages={358-361} }
A class of implicit Runge-Kutta methods is shown to possess a stability property which is a natural extension of the notion ofA-stability for non-linear systems.
147 Citations
High order algebraically stable Runge-Kutta methods
- Computer Science
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A new technique to calculate the characteristic functions and to examine theA-stability of implicit Runge-Kutta processes is presented. This technique is based on a direct algebraic approach and an…
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It is shown to what extent the linear (A-st stability) and non-linear (G-stability) stability concepts are equivalent for multistep methods in their one-leg formulation for Runge-Kutta methods.
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- 1986
Analyse des approximations completement discretes de Galerkin pour les equations paraboliques a coefficients dependant du temps. Utilisation des methodes de Runge-Kutta implicites
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