Singular Limits of Klein-Gordon-Schrödinger Equations to Schrödinger-Yukawa Equations. - Weizhu Bao; Xuanchun Dong; Shu Wang (Multiscale Model. Simul., 2010)

Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars. - Weizhu Bao; Xuanchun Dong (J. Comput. Phys., 2011)

A short note on simplified pseudospectral methods for computing ground state and dynamics of spherically symmetric Schrödinger-Poisson-Slater system. - Xuanchun Dong (J. Comput. Phys., 2011)

On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system. - Yong Zhang; Xuanchun Dong (J. Comput. Phys., 2011)

Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime. - Weizhu Bao; Xuanchun Dong (Numerische Mathematik, 2012)

A trigonometric integrator pseudospectral discretization for the N-coupled nonlinear Klein-Gordon equations. - Xuanchun Dong (Numer. Algorithms, 2013)

An Exponential Wave Integrator Sine Pseudospectral Method for the Klein-Gordon-Zakharov System. - Weizhu Bao; Xuanchun Dong; Xiaofei Zhao (SIAM J. Sci. Comput., 2013)

Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations. - Xuanchun Dong (Appl. Math. Comput., 2014)

Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations. - Zhiguo Xu; Xuanchun Dong; Yongjun Yuan (J. Comput. Appl. Math., 2016)