Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers

22 Aug 2020 Yu-Ying Liu J. Nathan Kutz Steven L. Brunton

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 computationally expensive due to numerical stiffness... (read more)

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