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- W3046372653 abstract "Continuous, explicit Runge–Kutta methods with the minimal number of stages are considered. These methods are continuously differentiable if and only if one of the stages is the FSAL evaluation. A characterization of a subclass of these methods is developed for orders 3, 4, and 5. It is shown how the free parameters of these methods can be used either to minimize the continuous truncation error coefficients or to maximize the stability region. As a representative for these methods the fifth-order method with minimized error coefficients is chosen, supplied with an error estimation method, and analysed by using the DETEST software. The results are compared with a similar implementation of the Dormand–Prince 5(4) pair with interpolant, showing a significant advantage in the new method for the chosen problems." @default.
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- W3046372653 date "1992-01-01" @default.
- W3046372653 modified "2023-09-23" @default.
- W3046372653 title "Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods." @default.
- W3046372653 hasPublicationYear "1992" @default.
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