Revisionist Integral Deferred Correction with Adaptive Stepsize Control

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.

revised paper (regeneration of graphics, typos, added embedded RK error estimators)

Cited by in corpus (4)

• On the convergence of spectral deferred correction methods
• Algorithm xxx: RIDC Methods -- A Family of Parallel Time-Integrators
• Two-derivative deferred correction time discretization for the discontinuous Galerkin method
• Adaptive time step selection for Spectral Deferred Correction