Exponentially-fitted methods and their stability functions |
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Authors: | D Hollevoet M Van Daele |
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Institution: | Vakgroep Toegepaste Wiskunde en Informatica, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium |
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Abstract: | We 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. |
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Keywords: | Exponential fitting Stability functions Integrating factor methods Exponential collocation methods |
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