Physics Informed Neural Networks (PINNs)for approximating nonlinear dispersive PDEs. - Genming Bai; Ujjwal Koley; Siddhartha Mishra; Roberto Molinaro (CoRR, 2021)

Erratum: Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements. - Genming Bai; Buyang Li (SIAM J. Numer. Anal., 2023)

Maximal regularity of evolving FEMs for parabolic equations on an evolving surface. - Genming Bai; Balázs Kovács; Buyang Li (CoRR, 2024)

Convergence of a stabilized parametric finite element method of the Barrett-Garcke-Nürnberg type for curve shortening flow. - Genming Bai; Buyang Li (Math. Comput., 2024)

A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field. - Genming Bai; Jiashun Hu; Buyang Li (SIAM J. Numer. Anal., 2024)

High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation. - Genming Bai; Jiashun Hu; Buyang Li (SIAM J. Sci. Comput., 2024)

A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow. - Genming Bai; Buyang Li (Found. Comput. Math., 2024)

Weak maximum principle of finite element methods for parabolic equations in polygonal domains. - Genming Bai; Dmitriy Leykekhman; Buyang Li (Numerische Mathematik, 2025)

Convergence of multistep projection methods for harmonic map heat flows into general surfaces. - Genming Bai; Xinping Gui; Buyang Li (Numerische Mathematik, 2025)