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IMA Journal of Applied Mathematics 1978 21(1):47-59; doi:10.1093/imamat/21.1.47
© 1978 by Institute of Mathematics and its Applications
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A Runge-Kutta Method of Order 10

E. HAIRER

Universität Innsbruck, Institut für Mathematik Innrain 52, A-6020, Innsbruck, Austria

In order to calculate a Runge-Kutta method of order 10, one has to solve a non-linear algebraic system of 1205 equations. We give here a special class of methods that needs only 17 function evaluations per step.


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