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- W4287621395 abstract "In this paper we extend the polynomial time integration framework to include exponential integration for both partitioned and unpartitioned initial value problems. We then demonstrate the utility of the exponential polynomial framework by constructing a new class of parallel exponential polynomial block methods (EPBMs) based on the Legendre points. These new integrators can be constructed at arbitrary orders of accuracy and have improved stability compared to existing exponential linear multistep methods. Moreover, if the ODE right-hand side evaluations can be parallelized efficiently, then high-order EPBMs are significantly more efficient at obtaining highly accurate solutions than exponential linear multistep methods and exponential spectral deferred correction methods of equivalent order." @default.
- W4287621395 created "2022-07-25" @default.
- W4287621395 creator A5025339401 @default.
- W4287621395 date "2020-11-01" @default.
- W4287621395 modified "2023-09-23" @default.
- W4287621395 title "Exponential Polynomial Block Methods" @default.
- W4287621395 doi "https://doi.org/10.48550/arxiv.2011.00670" @default.
- W4287621395 hasPublicationYear "2020" @default.
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