Equations of condition for high order Runge-Kutta-Nystrom formulaeDerivation of the equations of condition of order eight for a general system of second-order differential equations approximated by the basic Runge-Kutta-Nystrom algorithm. For this general case, the number of equations of condition is considerably larger than for the special case where the first derivative is not present. Specifically, it is shown that, for orders two through eight, the number of equations for each order is 1, 1, 1, 2, 3, 5, and 9 for the special case and is 1, 1, 2, 5, 13, 34, and 95 for the general case.
Document ID
19740050629
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Bettis, D. G. (Texas, University Austin, Tex., United States)