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arXiv · 1310.6331

Revisionist Integral Deferred Correction with Adaptive Stepsize Control

Andrew J. Christlieb·Colin B. Macdonald·Benjamin W. Ong·Raymond J. Spiteri
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Abstract

Adaptive stepsize 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 stepsize 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 stepsize control, and we report results from exploring a few of them.

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Andrew J. Christlieb, Colin B. Macdonald, Benjamin W. Ong, Raymond J. Spiteri. 2014-08-14. Revisionist Integral Deferred Correction with Adaptive Stepsize Control. https://doi.org/10.2140/camcos.2015.10.1

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