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Mathematics of Computation

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A curiosity of low-order explicit Runge-Kutta methods

Author: J. Oliver
Journal: Math. Comp. 29 (1975), 1032-1036
MSC: Primary 65L05
MathSciNet review: 0391514
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Abstract: By introducing an additional parameter into the first stage of the explicit Runge-Kutta process, new formulae of second and third order are derived, offering improved error bounds in the second-order case.

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Keywords: Runge-Kutta methods
Article copyright: © Copyright 1975 American Mathematical Society