most citedOptical-vortex diagnostics via Fraunhofer slit diffraction with controllable wavefront curvature

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A Variational Physics-Informed Neural Network Framework Using Petrov-Galerkin Method for Solving Singularly Perturbed Boundary Value Problems

Vijay Kumar, Gautam Singh

This work proposes a Variational Physics-Informed Neural Network (VPINN) framework that integrates the Petrov-Galerkin formulation with deep neural networks (DNNs) for solving one-…