Nicolás Valenzuela

Error Bounds for Physics Informed Neural Networks in Generalized KdV Equations Placed on Unbounded Domains

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 th...