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- W4302543380 abstract "In this paper, the effect that produces the local linearization of the embedded Runge-Kutta formulas of Dormand and Prince for initial value problems is studied. For this, embedded Locally Linearized Runge-Kutta formulas are defined and their performance is analyzed by means of exhaustive numerical simulations. For a variety of well-known physical equations with different dynamics, the simulation results show that the locally linearized formulas exhibit significant higher accuracy than the original ones, which implies a substantial reduction of the number of time steps and, consequently, a sensitive reduction of the overall computation cost of their adaptive implementation." @default.
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- W4302543380 date "2012-09-06" @default.
- W4302543380 modified "2023-09-24" @default.
- W4302543380 title "Locally Linearized Runge Kutta method of Dormand and Prince" @default.
- W4302543380 doi "https://doi.org/10.48550/arxiv.1209.1415" @default.
- W4302543380 hasPublicationYear "2012" @default.
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