2 papers
math.NA2026
Robust training and rigorous error analysis of physics-informed neural networks for the -Laplace equation
Kyueon Choi, Seungchan Ko, Dohyun Kwon
With the rise of scientific machine learning, physics-informed neural networks (PINNs) have been extensively applied to a wide range of problems. Nevertheless, most theoretical ana…
math.AP2024
The regularity with respect to domains of the additive eigenvalues of superquadratic Hamilton--Jacobi equation
Farid Bozorgnia, Dohyun Kwon, Son N. T. Tu
We study the additive eigenvalues on changing domains, along with the associated vanishing discount problems. We consider the convergence of the vanishing discount problem on chang…