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math.NA2026
Weak adversarial tensor neural network for high-dimensional Fokker-Planck equations
Sihong Shao, Zhongwei Xu
Solving high-dimensional stationary Fokker-Planck (SFP) equations remains challenging. Recently, deep learning methods have shown great potential for solving high-dimensional SFP e…
math.NA2026
Learning a generalized Navier-Stokes model beyond the continuum regime
Sihong Shao, Yanli Wang, Zhongwei Xu
Navier-Stokes (NS) equations lose accuracy in the transition regime when the Knudsen number is large, while the Boltzmann equation provides an adequate kinetic description with a s…