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author = {Fr{\'{e}}d{\'{e}}ric Legoll and Tony Leli{\`{e}}vre and Upanshu Sharma},
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doi = {10.1137/21m1412979},
@@ -6995,6 +7008,15 @@ @article{JanssensEtAl2024
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year = {2024},
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}
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@unpublished{KaiserEtAl2024,
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abstract = {Recent advances in wave modeling use sufficiently accurate fine solver outputs to train a neural network that enhances the accuracy of a fast but inaccurate coarse solver. In this paper we build upon the work of Nguyen and Tsai (2023) and present a novel unified system that integrates a numerical solver with a deep learning component into an end-to-end framework. In the proposed setting, we investigate refinements to the network architecture and data generation algorithm. A stable and fast solver further allows the use of Parareal, a parallel-in-time algorithm to correct high-frequency wave components. Our results show that the cohesive structure improves performance without sacrificing speed, and demonstrate the importance of temporal dynamics, as well as Parareal, for accurate wave propagation.},
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author = {Luis Kaiser and Richard Tsai and Christian Klingenberg},
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howpublished = {arXiv:2402.02304v4 [math.AP]},
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title = {Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model},
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