2 citations · 2 across the 11 of their papers we have counts for
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math.NA2011
Global Error Control in the Runge-Kutta Solution of a Hamiltonian System using the RKQ Algorithm
J. S. C. Prentice
We study the effect of global error control in the numerical solution of Hamiltonian systems. In particular, we apply the RKQ algorithm in the numerical solution of a Hamiltonian s…
math.NA2011
Nystrom Methods in the RKQ Algorithm for Initial-value Problems
J. S. C. Prentice
We incorporate explicit Nystrom methods into the RKQ algorithm for stepwise global error control in numerical solutions of initial-value problems. The initial-value problem is tran…
math.NA2011
Runge-Kutta Methods: Local error control does not imply global error control
J. S. C. Prentice
We study the relationship between local and global error in Runge-Kutta methods for initial-value problems in ordinary differential equations. We show that local error control by m…