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20222026
most citedStabilized exponential time differencing schemes for the convective Allen-Cahn equation

1 citations · 1 across the 4 of their papers we have counts for

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math.NA2026

Structure-preserving generalized transferable neural networks for the Cahn-Hilliard equation

Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1

This paper is concerned with a structure-preserving neural network-based framework for the Cahn-Hilliard equation in mixed form. We employ generalized transferable neural networks…

math.NA2026

Evo-GTransNet for Parabolic PDEs: A Fixed-Feature Galerkin Method of Lines with Quadrature-Mass Orthonormalization

Lili Ju, Jin Zhao

In this paper, we develop an evolutionary generalized transferable neural network (Evo-GTransNet) solver for parabolic partial differential equations, formulated as a retained-spac…

math.NA2026

Fully discrete parameter-robust error analysis of a grad-div stabilized Crank-Nicolson artificial compressibility method for the Navier-Stokes equations

Feiyu Chen, Lili Ju, Rihui Lan +1

The artificial compressibility method (ACM) relaxes the incompressibility constraint in the Navier-Stokes equations by introducing a perturbation term proportional to the time deri…