35 citations · 50 across the 5 of their papers we have counts for
7 papers
A second-order semi-implicit method for the inertial Landau-Lifshitz-Gilbert equation
Panchi Li, Lei Yang, Jin Lan +2
Recent theoretical and experimental advances show that the inertia of magnetization emerges at sub-picoseconds and contributes to the ultrafast magnetization dynamics which cannot…
Advantages of a semi-implicit scheme over a fully implicit scheme for Landau-Lifshitz-Gilbert equation
Yifei Sun, Jingrun Chen, Rui Du +1
Magnetization dynamics in magnetic materials is modeled by the Landau-Lifshitz-Gilbert (LLG) equation. In the LLG equation, the length of magnetization is conserved and the system…
Enforcing exact boundary and initial conditions in the deep mixed residual method
Liyao Lyu, Keke Wu, Rui Du +1
In theory, boundary and initial conditions are important for the wellposedness of partial differential equations (PDEs). Numerically, these conditions can be enforced exactly in cl…
A comparison study of deep Galerkin method and deep Ritz method for elliptic problems with different boundary conditions
Jingrun Chen, Rui Du, Keke Wu
Recent years have witnessed growing interests in solving partial differential equations by deep neural networks, especially in the high-dimensional case. Unlike classical numerical…
Numerical methods for antiferromagnetics
Panchi Li, Jingrun Chen, Rui Du +1
Compared with ferromagnetic counterparts, antiferromagnetic materials are considered as the future of spintronic applications since these materials are robust against the magnetic…
Quasi-Monte Carlo sampling for machine-learning partial differential equations
Jingrun Chen, Rui Du, Panchi Li +1
Solving partial differential equations in high dimensions by deep neural network has brought significant attentions in recent years. In many scenarios, the loss function is defined…