Improved Uniform Error Bounds on a Lawson-type Exponential Integrator Method for Long-Time Dynamics of the Nonlinear Double Sine-Gordon Equation.

Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs.

A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime.

Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein-Gordon Equation.

Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points.

Normalized Wolfe-Powell-type Local Minimax Method for Finding Multiple Unstable Solutions of Nonlinear Elliptic PDEs.

Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation.

Optimal Resolution Methods for the Klein-Gordon-Dirac System in the Nonrelativistic Limit Regime.

An augmented singular transform and its partial Newton method for finding new solutions.