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Revisionist integral deferred correction with adaptive step-size control

Abstract:

Abstract Adaptive step-size control is a critical feature for the robust and efficient numerical
solution of initial-value problems in ordinary differential equations. In this paper, we show
that adaptive step-size control can be incorporated within a family of parallel time integrators
known as revisionist integral deferred correction (RIDC) methods. The RIDC framework
allows for various strategies to implement step-size control, and we report results from
exploring a few of them.

 

Authors: Andrew Christlieb, Colin Macdonald, Benjamin Ong, Raymond Spiteri

Link: Here