Revisionist integral deferred correction with adaptive step-size control

Andrew Christlieb, Colin Macdonald, Benjamin Ong, Raymond Spiteri

Research output: Contribution to journalArticlepeer-review

5 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

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