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

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