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- W2256192016 abstract "Among the most popular methods for the solution of the Initial Value Problem are the Runge–Kutta (RK) pairs. These methods can be derived by solving a system of nonlinear equations after admitting various simplifying assumptions. The more simplifying assumptions we consider the more we narrow the solution space. In [1] Tsitouras presented an algorithm for the construction of Runge–Kutta pairs of orders 5 and 4 satisfying only the so called “first column simplifying assumption”. In [2] Famelis and Tsitouras have studied the ability of Differential Evolution techniques to find solutions satisfying all the order conditions needed for the derivation of orders 5 and 4 pairs. In this work we propose an modification on the Differential Evolution strategy for the same problem. The current study will be a guide to the construction of other classes of RK that have not been presented in the literature." @default.
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- W2256192016 date "2016-01-01" @default.
- W2256192016 modified "2023-09-23" @default.
- W2256192016 title "On the modification of Differential Evolution strategy for the construction of Runge Kutta pairs" @default.
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- W2256192016 doi "https://doi.org/10.1051/matecconf/20164105001" @default.
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