Dr. Zeng always has a passion for solving partial differential equations with analytical or numerical methods, and utilizing them in various applications. These problems arise in a wide range of contexts, such as cell migration in tumor growth modeling, salt diapir formation in tectonics, dynamical responses of various materials, and flow computations in shock hydrodynamics, just to name a few. Currently, he focuses on three research subjects: firstly, a computational framework for multi-physics problems that involve more than two entities such as nonlinear solids and multi-material/multi-phase fluids; secondly, a novel hybrid-variable discretization technique for hyperbolic and parabolic equations; and finally a numerical strategy for reliable investigation of infiltration dynamics in tumor growth modeling and model validation with experimental data.