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Hierarchical deep learning of multiscale differential equation time-steppers

Nonlinear differential equations rarely admit closed-form solutions, thus requiring numerical time-stepping algorithms to approximate solutions. Further, many systems characterized by multiscale physics exhibit dynamics over a vast range of timescales, making numerical integration expensive. In this...

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Detalles Bibliográficos
Autores principales: Liu, Yuying, Kutz, J. Nathan, Brunton, Steven L.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9207536/
https://www.ncbi.nlm.nih.gov/pubmed/35719073
http://dx.doi.org/10.1098/rsta.2021.0200