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Error bounds for Physics Informed Neural Networks in Generalized KdV Equations placed on unbounded domains

Freire, Ricardo et al.
arXiv (All) · Papers
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68t07analysis-of-pdesprimarysecondary
In this paper we study a rigorous setting for the numerical approximation via deep neural networks of the generalized Korteweg-de Vries (gKdV) model in one dimension, for subcritical and critical nonlinearities, and assuming that the domain is the unbounded real line. The fact that the model is pose
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