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cs.LG2024
SG-DeepONet: Source-generalized deep operator learning for full waveform inversion
Zekai Guo, Lihui Chai, Ye Li
Full waveform inversion (FWI) aims to reconstruct subsurface velocity models from observed seismic wavefields and has recently benefited from advances in deep learning (DL). The pe…
math.NA2024
Error estimates of physics-informed neural networks for approximating Boltzmann equation
Elie Abdo, Lihui Chai, Ruimeng Hu +1
Motivated by the recent successful application of physics-informed neural networks (PINNs) to solve Boltzmann-type equations [S. Jin, Z. Ma, and K. Wu, J. Sci. Comput., 94 (2023),…
math.NA2024
Frozen Gaussian approximation for the fractional Schrödinger equation
Lihui Chai, Hengzhun Chen, Xu Yang
We develop a refined Frozen Gaussian approximation (FGA) for the fractional Schrödinger equation in the semi-classical regime, where the solution exhibits rapid oscillations as the…