3 papers
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.NA2025
Convergence analysis of the dynamically regularized Lagrange multiplier method for the incompressible Navier-Stokes equations
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1
This paper is concerned with temporal convergence analysis of the recently introduced Dynamically Regularized Lagrange Multiplier (DRLM) method for the incompressible Navier-Stokes…
math.NA2022
Low regularity integrators for semilinear parabolic equations with maximum bound principles
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1
This paper is concerned with conditionally structure-preserving, low regularity time integration methods for a class of semilinear parabolic equations of Allen-Cahn type. Important…