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On Reusing the Stages of a Rejected Runge-Kutta Step

On Reusing the Stages of a Rejected Runge-Kutta Step

Runge-Kutta (RK) pairs are amongst the most popular methods for numerically solving Initial Value Problems. While using an RK pair, we may experience rejection of some steps through the interval of integration. Traditionally, all of the evaluations are then dropped, and we proceed with a completely new round of computations. …