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Genming Bai
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Year
Physics informed neural networks (PINNs) for approximating nonlinear dispersive PDEs
G Bai, U Koley, S Mishra, R Molinaro
arXiv preprint arXiv:2104.05584, 2021
462021
A new approach to the analysis of parametric finite element approximations to mean curvature flow
G Bai, B Li
Foundations of Computational Mathematics 24 (5), 1673-1737, 2024
82024
Erratum: Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements
G Bai, B Li
SIAM Journal on Numerical Analysis 61 (3), 1609-1612, 2023
82023
A constructive low-regularity integrator for the 1d cubic nonlinear Schrödinger equation under the Neumann boundary condition
G Bai, B Li, Y Wu
IMA J. Numer. Anal, 2022
82022
A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition
G Bai, B Li, Y Wu
IMA Journal of Numerical Analysis 43 (6), 3243-3281, 2023
62023
High-Order Mass-and Energy-Conserving Methods for the Nonlinear Schrödinger Equation
G Bai, J Hu, B Li
SIAM Journal on Scientific Computing 46 (2), A1026-A1046, 2024
52024
Weak maximum principle of finite element methods for parabolic equations in polygonal domains
G Bai, D Leykekhman, B Li
Numerische Mathematik, 1-46, 2025
12025
A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field
G Bai, J Hu, B Li
SIAM Journal on Numerical Analysis 62 (5), 2172-2195, 2024
12024
Maximal regularity of evolving FEMs for parabolic equations on an evolving surface
G Bai, B Kovács, B Li
arXiv preprint arXiv:2408.14096, 2024
2024
Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow
G Bai, B Li
Mathematics of Computation, 2024
2024
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