Simulation of high-power multimode fiber amplifier arrays using a system of Schröerdinger equations with various coupling models.
Coding of time and frequency domain Maxwell equations using finite element and spectral element Galerkin methods.
Adaptive mesh refinement (AMR) and moving adaptive meshes for finite difference methods with applications to the study of collapse problem for 3D Maxwell’s equations.
Comparison of moving adaptive mesh algorithms with the AMR approach.
Study of accuracy and efficiency of the long-time symplectic MVS integrators for nearly integrable Hamiltonian systems.