© 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 language||English (US)|
|Number of pages||25|
|Journal||Communications in Applied Mathematics and Computational Science|
|State||Published - Mar 27 2015|
Bibliographical noteKAUST 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.