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A Machine-Learning Method for Time-Dependent Wave Equations over Unbounded Domains
[article]
2021
arXiv
pre-print
Time-dependent wave equations represent an important class of partial differential equations (PDE) for describing wave propagation phenomena, which are often formulated over unbounded domains. Given a compactly supported initial condition, classical numerical methods reduce such problems to bounded domains using artificial boundary condition (ABC). In this work, we present a machine-learning method to solve this type of equations as an alternative to ABCs. Specifically, the mapping from the
arXiv:2101.05807v2
fatcat:nfrfnwwqdrbmbppumlvqadem7i