1 citations · 2 across the 3 of their papers we have counts for
3 papers
cs.LG2025★ 1 cited
A Structure-Preserving Framework for Solving Parabolic Partial Differential Equations with Neural Networks
Gaohang Chen, Lili Ju, Zhonghua Qiao
Solving partial differential equations (PDEs) with neural networks (NNs) has shown great potential in various scientific and engineering fields. However, most existing NN solvers m…
math.NA2023★ 1 cited
A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility
Dianming Hou, Zhonghua Qiao, Lili Ju
In this paper, a linear second order numerical scheme is developed and investigated for the Allen-Cahn equation with a general positive mobility. In particular, our fully discrete…
math.NA2023
Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems
Dianming Hou, Lili Ju, Zhonghua Qiao
In this paper, we present a novel spectral renormalization exponential integrator method for solving gradient flow problems. Our method is specifically designed to simultaneously s…