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- W2091250834 abstract "One of the primary drawbacks in the use of Runge-Kutta for the solution of the initial-value problem for ordinary differential equations is the high price one must pay in computer time in order to gain an accurate estimate of the local truncation error. A very common practice with Runge-Kutta is to do the calculations with a given step-size h and simultaneously do the calculations with step-size 2h. A combination of the two answers thus produced is then used to control step-size. In this paper we derive and test some estimates for variable step-size Runge-Kutta which are accurate and which do not require any other function evaluations than those normally used by Runge-Kutta. In addition, one method for using these estimates is presented along with numerical results." @default.
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- W2091250834 date "1972-09-01" @default.
- W2091250834 modified "2023-09-28" @default.
- W2091250834 title "Variable-step truncation error estimates for Runge-Kutta methods of order 4 or less" @default.
- W2091250834 cites W2014104830 @default.
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- W2091250834 doi "https://doi.org/10.1016/0022-247x(72)90187-4" @default.
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