Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime

(2011) Weizhu Bao et al.   NUMERISCHE MATHEMATIK

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

On the convergence of splitting methods for linear evolutionary Schrödinger equations involving an unbounded potential

(2009) Christof Neuhauser et al.   BIT NUMERICAL MATHEMATICS

Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation

(2009) Arnaud Debussche et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations

(2008) Christian Lubich   MATHEMATICS OF COMPUTATION

Analysis of an Asymptotic Preserving Scheme for the Euler–Poisson System in the Quasineutral Limit

(2008) Pierre Degond et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations

(2008) Mechthild Thalhammer   SIAM JOURNAL ON NUMERICAL ANALYSIS