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On pseudo-Runge-Kutta methods with 2 and 3 stages. (English) Zbl 0507.65031


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
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[4] Costabile, F., Metodi Pseudo-Runge-Kutta di seconda specie, Calcolo, 1 (1970), 305-322. · Zbl 0214.15004 · doi:10.1007/BF02575603
[5] >9 Metodi Pseudo-Runge-Kutta ottimali, Calcolo, 10 (1973), 101-116. · Zbl 0282.65058 · doi:10.1007/BF02575507
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[8] ., A modification of some Pseudo-Runge-Kutta Methods, to appear.
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[11] Tanaka, M., Pseudo-Runge-Kutta methods and their application to the estimation of truncation errors in 2nd and 3rd order Runge-Kutta methods, Joho Short, 6 (1969), 406-417 (in Japanese and in full).
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[14] Lotkin, M., On the accuracy of Runge-Kutta s methods, M. T. A. C., 5 (1951), 128-132. · Zbl 0044.33104 · doi:10.2307/2002436
[15] William, B. G., Pseudo-Runge-Kutta methods of fifth order, /. Assoc. Comput. Mach., 17 (1970). · Zbl 0214.15003 · doi:10.1145/321607.321611
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