4 papers · 1 filter
Improving Learning of Green's Functions Through Kernel Decomposition
Beiji Chen, Qiang Du, Kui Ren +1
This work analyzes a framework for learning the solution operator, or equivalently, the Green's function, of a general self-adjoint second-order elliptic operator $\cL$. Subtractin…
Sampling Using Hybrid Stochastic Dynamics
Björn Engquist, Kui Ren, Yunan Yang
This work proposes a framework for sampling from the Gibbs distribution of a given potential using hybrid stochastic dynamics. In this framework, two distinct sampling dynamics are…
A discontinuous Galerkin method for one-dimensional nonlocal wave problems
Qiang Du, Kui Ren, Lu Zhang +1
This paper presents a fully discrete numerical scheme for one-dimensional nonlocal wave equations and provides a rigorous theoretical analysis. To facilitate the spatial discretiza…
An energy-based discontinuous Galerkin method for the nonlinear Schrödinger equation with wave operator
Kui Ren, Lu Zhang, Yin Zhou
This work develops an energy-based discontinuous Galerkin (EDG) method for the nonlinear Schrödinger equation with the wave operator. The focus of the study is on the energy-conser…