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arXiv · 2101.07846

Parallel-in-time high-order multiderivative IMEX solvers

Jochen Schütz·David C. Seal·Jonas Zeifang
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Abstract

In this work, we present a novel class of parallelizable high-order time integration schemes for the approximate solution of additive ODEs. The methods achieve high order through a combination of a suitable quadrature formula involving multiple derivatives of the ODE's right-hand side and a predictor-corrector ansatz. The latter approach is designed in such a way that parallelism in time is made possible. We present thorough analysis as well as numerical results that showcase scaling opportunities of methods from this class of solvers.

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Jochen Schütz, David C. Seal, Jonas Zeifang. 2021-01-19. Parallel-in-time high-order multiderivative IMEX solvers. https://arxiv.org/abs/2101.07846

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