Revisionist integral deferred correction with adaptive step-size control
KAUST Grant NumberKUK-C1-013-04
Permanent link to this recordhttp://hdl.handle.net/10754/599508
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Abstract© 2015 Mathematical Sciences Publishers. 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 stepsize control, and we report results from exploring a few of them.
CitationChristlieb, A., Macdonald, C., Ong, B., & Spiteri, R. (2015). Revisionist integral deferred correction with adaptive step-size control. Communications in Applied Mathematics and Computational Science, 10(1), 1–25. doi:10.2140/camcos.2015.10.1
SponsorsThis publication was based on work supported in part by award no. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), AFRL and AFOSR under contract and grants FA9550-12-1-0455, NSF grant number DMS-0934568, NSERC grant number RGPIN-228090-2013, and the Oxford Center for Collaborative and Applied Mathematics (OCCAM).
PublisherMathematical Sciences Publishers