Revisionist integral deferred correction with adaptive step-size control
Document Type
Article
Publication Date
3-27-2019
Department
Department of Mathematical Sciences; Center for Data Sciences
Abstract
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 step-size control, and we report results from exploring a few of them.
Publication Title
Communications in Applied Mathematics and Computational Science
Recommended Citation
Christlieb, A.,
Macdonald, C. B.,
Ong, B. W.,
&
Spiteri, R. J.
(2019).
Revisionist integral deferred correction with adaptive step-size control.
Communications in Applied Mathematics and Computational Science,
10(1), 1-25.
http://doi.org/10.2140/camcos.2015.10.1
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1074