Energy Conserving Local Discontinuous Galerkin Methods for the Nonlinear Schrödinger Equation with Wave Operator

Energy conserving local discontinuous Galerkin methods for wave propagation problems

(2013) Yulong Xing et al.   Inverse Problems and Imaging

A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator

(2012) Xin Li et al.   APPLIED MATHEMATICS AND COMPUTATION

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations

(2012) Yan Xu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator

(2010) Shanshan Wang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse

(2010) Weizhu Bao et al.   PHYSICA D-NONLINEAR PHENOMENA

Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems

(2009) Bo Dong et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrödinger–Poisson equations with discontinuous potentials

(2008) Tiao Lu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A generalized discontinuous Galerkin (GDG) method for Schrödinger equations with nonsmooth solutions

(2007) Kai Fan et al.   JOURNAL OF COMPUTATIONAL PHYSICS