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Some Practical Runge-Kutta Formulas
Lawrence F. Shampine
Mathematics of Computation
Vol. 46, No. 173 (Jan., 1986), pp. 135-150
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2008219
Page Count: 16
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A new selection is made of the most practical of the many explicit Runge-Kutta formulas of order 4 which have been proposed. A new formula is considered, formulas are modified to improve their quality and efficiency in agreement with improved understanding of the issues, and formulas are derived which permit interpolation. It is possible to do a lot better than the pair of Fehlberg currently regarded as "best".
Mathematics of Computation © 1986 American Mathematical Society