My research focuses on numerical methods and analysis for hyperbolic partial differential equations for conservation laws and their implementation on high-performance computing supercomputers. I am also interested in applications of PDEs in science and engineering, in particular, numerical fluid dynamics. Field expertise: High-order numerical methods for hyperbolic PDEs: WENO, CENO finite differce/finite volume methods
High-order explicit/implicit time-stepping methods: RK, IF, ETD, BDF, SDIRK, Rosenbrock
Smoothed particle hydrodynamics (SPH) methods and applications
Numerical solvers for fractional differential equations
Stiff problems with singular perturbation analysis
Taught courses:
School of Mathematical Sciences, Monash University, Melbourne, Australia
- Computational Linear Algebra (Course tutor)
Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Ulsan, South Korea
- Numerical Analysis (Teaching assistant)
- Introduction to Partial Differential Equations (Teaching assistant)
- Calculus I and II (Teaching assistant)
UNIST Education Center for Gifted Students, Ulsanl National Institute of Science and Technology, Ulsan, South Korea
- Research and Education Program (Instructor)