Comparing error estimators for Runge-Kutta methods

Shampine, L. F.; Watts, H. A.

doi:10.1090/S0025-5718-1971-0297138-9

Comparing error estimators for Runge-Kutta methods
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by L. F. Shampine and H. A. Watts PDF

Math. Comp. 25 (1971), 445-455 Request permission

Abstract:

A way is proposed to compare local error estimators. This is applied to the major estimators for fourth-order Runge-Kutta procedures. An estimator which leads to a production code 18

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RUNKUT-Runge Kutta Integrator of Systems of First Order Ordinary Differential Equations

Efficient Runge-Kutta Codes