Revisionist integral deferred correction with adaptive step-size control

Andrew Christlieb, Colin Macdonald, Benjamin Ong, Raymond Spiteri

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)1-25
Number of pages25
JournalCommunications in Applied Mathematics and Computational Science
Volume10
Issue number1
DOIs
StatePublished - Mar 27 2015
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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