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cs.LG2025
Evaluation of Sampling Strategies and Physics-Informed Kolmogorov--Arnold Networks in Unbounded Domains
Gregorio Pérez-Bernal, Oscar Rincón-Cardeño, Silvana Montoya-Noguera +1
Physics-informed neural networks (PINNs) have emerged as an effective approach for solving partial differential equations (PDEs) by incorporating physical laws into the learning pr…
cs.LG2025
Benchmarking Physics-Informed Neural Networks and Boundary Elements Methods for Wave Scattering
Oscar Rincón-Cardeno, Gregorio Pérez Bernal, Silvana Montoya Noguera +1
This study compares the Boundary Element Method (BEM) and Physics-Informed Neural Networks (PINNs) for solving the two-dimensional Helmholtz equation in wave scattering problems. T…