Revisionist integral deferred correction with adaptive step-size control
Department of Mathematical Sciences, Center for Data Sciences
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.
Communications in Applied Mathematics and Computational Science
Macdonald, C. B.,
Ong, B. W.,
Spiteri, R. J.
Revisionist integral deferred correction with adaptive step-size control.
Communications in Applied Mathematics and Computational Science,
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1074