Numerical schemes for Hamilton-Jacobi equations on unstructured meshes. - Xiang-Gui Li; Wei Yan; C. K. Chan (Numerische Mathematik, 2003)

A numerical method with particle conservation for the Maxwell-Dirac system. - Xiang-Gui Li; C. K. Chan; Y. Hou (Appl. Math. Comput., 2010)

A numerical study of the ground state and dynamics of atomic-molecular Bose-Einstein condensates. - Wei Jiang 008; Hanquan Wang; Xiang-Gui Li (Comput. Phys. Commun., 2013)

The finite element method for computing the ground states of the dipolar Bose-Einstein condensates. - Dong-Ying Hua; Xiang-Gui Li (Appl. Math. Comput., 2014)

Prolongation structures and matter-wave solitons in F=1 spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential. - Deng-Shan Wang; Yu-Quan Ma; Xiang-Gui Li (Commun. Nonlinear Sci. Numer. Simul., 2014)

A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation. - Xiang-Gui Li; Jiang Zhu 003; Rongpei Zhang; Shengshan Cao (J. Comput. Phys., 2014)

High-order numerical method for the derivative nonlinear Schrödinger equation. - Shu-Cun Li; Xiang-Gui Li; Jun-Jie Cao; Wen-Bo Li (Int. J. Model. Simul. Sci. Comput., 2017)

Implicit integration factor method for the nonlinear Dirac equation. - Jing-Jing Zhang; Xiang-Gui Li; Jing-Fang Shao (Int. J. Model. Simul. Sci. Comput., 2018)

High-order conservative schemes for the nonlinear Dirac equation. - Shu-Cun Li; Xiang-Gui Li (Int. J. Comput. Math., 2020)

High-order numerical methods with mass and energy conservation for spin-orbit-coupled Bose-Einstein condensates. - Xiang-Gui Li; Shu-Cun Li (Int. J. Comput. Math., 2021)

An ALE numerical method with HLLC-2D solver for the two-phase flow ejecta transporting model. - Jianqiao Zhang 004; Wei Yan; Xianggui Li (CoRR, 2024)

The energy-diminishing weak Galerkin finite element method for the computation of ground state and excited states in Bose-Einstein condensates. - Lin Yang; Xiang-Gui Li; Wei Yan; Ran Zhang (J. Comput. Phys., 2025)