Parallel-in-time high-order multiderivative IMEX solvers
Numerical Analysis
2021-01-21 v1 Numerical Analysis
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.
Cite
@article{arxiv.2101.07846,
title = {Parallel-in-time high-order multiderivative IMEX solvers},
author = {Jochen Schütz and David C. Seal and Jonas Zeifang},
journal= {arXiv preprint arXiv:2101.07846},
year = {2021}
}
Comments
36 pages