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math.NA2026
Spectrally Safe Neural Operator Warm-Starts for Large-Scale Newton Solvers
Jaemin Oh, Youngkyu Lee, Jerome Darbon +1
Neural operators are increasingly used to warm-start Newton solvers for nonlinear PDEs, on the premise that a low test error places the initial guess inside the basin of attraction…
math.NA2024★ 8 cited
Separable Physics-informed Neural Networks for Solving the BGK Model of the Boltzmann Equation
Jaemin Oh, Seung Yeon Cho, Seok-Bae Yun +2
In this study, we introduce a method based on Separable Physics-Informed Neural Networks (SPINNs) for effectively solving the BGK model of the Boltzmann equation. While the mesh-fr…