2 papers
math.NA2025
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…
math.NA2023
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…