Corpus ID: 221266564

Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers

  title={Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers},
  author={Yuying Liu and J. Kutz and S. Brunton},
  • Yuying Liu, J. Kutz, S. Brunton
  • Published 2020
  • Computer Science, Mathematics, Physics
  • ArXiv
  • 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. In this work, we develop a hierarchy of deep neural network time-steppers to approximate the flow map of the dynamical system over a disparate range of time-scales… CONTINUE READING
    3 Citations


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