Revisionist Integral Deferred Correction with Adaptive Stepsize Control
Numerical Analysis
2015-04-27 v2
Abstract
Adaptive stepsize 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 stepsize 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.
Keywords
Cite
@article{arxiv.1310.6331,
title = {Revisionist Integral Deferred Correction with Adaptive Stepsize Control},
author = {Andrew J. Christlieb and Colin B. Macdonald and Benjamin W. Ong and Raymond J. Spiteri},
journal= {arXiv preprint arXiv:1310.6331},
year = {2015}
}
Comments
revised paper (regeneration of graphics, typos, added embedded RK error estimators)