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Original Articles

Extrapolated Implicit–Explicit Runge–Kutta Methods

, , &
Pages 18-43 | Received 01 Aug 2013, Accepted 06 Feb 2014, Published online: 06 Mar 2014
 

Abstract

We investigate a new class of implicit–explicit singly diagonally implicit Runge–Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current step by stage values in the previous step. This approach was first proposed by the authors in context of implicit–explicit general linear methods.

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