Research Interests

Mathematical and Computational Biology/Physics

• Free boundary problem of invasive behavior of one species
• Free boundary problem of invasive behavior with competition between two/three species
• Cell polarization and cell movement
• Free boundary Grad-Shafranov problem

Numerical Methods for Free Boundary Problems

• Front tracking methods and front fixing methods
• Fast local level set method
• Integration factor methods and ETD/ETDRK schemes
• CPU parallel cut-cell algorithm
• AMG accelerated embedded boundary method for PDEs in irregular domains

Biomolecular Modeling and Simulations

• Binary level set method
• GPU parallel computing for variational implicit-solvent models
• Monte Carlo simulations for protein folding/unfolding

Computer Skills

• Programming Languages: C/C++, PETSc, Julia, Matlab, Maple.
• GPU/CPU Parallel Computing

Computational Packages

• Free-boundary GS solver: A parallel PETSc-based cut cell free-boundary MHD equilibrium solver (primary developer)
• AMG Accelerated Cut Cell Algorithm: A universal AMG accelerated cut cell solver (one of the principle developers)