A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime

Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator

(2014) Weizhu Bao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Asymptotic preserving schemes for the Klein–Gordon equation in the non-relativistic limit regime

(2013) Erwan Faou et al.   NUMERISCHE MATHEMATIK

An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System

(2013) Weizhu Bao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

(2012) Weizhu Bao et al.   MATHEMATICS OF COMPUTATION

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

(2012) Weizhu Bao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

(2011) Weizhu Bao et al.   NUMERISCHE MATHEMATIK

On second-order differential equations with highly oscillatory forcing terms

(2010) M. Condon et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations

(2008) David Cohen et al.   NUMERISCHE MATHEMATIK

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

Mollified Impulse Methods for Highly Oscillatory Differential Equations

(2008) J. M. Sanz-Serna   SIAM JOURNAL ON NUMERICAL ANALYSIS