Thinh T . Kieu

I am interested in nonlinear partial differential equations and numerical methods. My work explores equations arising from many different areas of applied sciences such as engineering, fluid mechanics, and biology: especially the generalized Forchheimer equations and hyperbolic equations. In particular, our results on the stability and long time dynamics of solutions can be used to understand nonlinear physical/biological phenomena. I am also focused on proving stability, error estimate, conservation of energy, and convergence of numerical methods. Besides, I am involved in using Bernstein polynomial bases in the finite element method.