Exponentially-fitted methods and their stability functions
Copyright policy )Exponentially-fitted methods and their stability functions
AbstractWe investigate the properties of stability functions of exponentially-fitted Runge–Kutta methods, and we show that it is possible (to some extent) to determine the stability function of a method without actually constructing the method itself. To focus attention, examples are given for the case of one-stage methods. We also make the connection with so-called integrating factor methods and exponential collocation methods. Various approaches are given to construct these methods.
- Ghent University Belgium
Computational Mathematics, Mathematics and Statistics, Exponential fitting, Exponential collocation methods, Integrating factor methods, Applied Mathematics, Stability functions, RUNGE-KUTTA METHODS
Computational Mathematics, Mathematics and Statistics, Exponential fitting, Exponential collocation methods, Integrating factor methods, Applied Mathematics, Stability functions, RUNGE-KUTTA METHODS
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