Professor Yingjie Liu
School of Mathematics
Georgia Institute of Technology
686 Cherry Street, Skiles Building
Atlanta, GA 30332-0160
E-mail: yingjie at math dot gatech dot edu
Advanced Numerical Methods for Partial Differential Equations
Simplified Physics behind a Powerful Forehand Loop in Table Tennis
Beautiful Okefenokee Swamp
My research interests have been on the numerical analysis, scientific computing, algorithm, partial differential equations and tangential suspension system. I have been working on:
Tangential Wheel Suspension System
Moving mesh finite element methods.
Conservative front tracking.
Back and forth error compensation and correction (BFECC) method with applications in level set interface computation, fluid simulations,
conveniently computing electromagnetic waves with complicated geometry
A smoke simulation by NVIDIA using BFECC
Central schemes and central discontinuous Galerkin methods on overlapping cells for conservation laws and associated differential equations.
Non-oscillatory hierarchical reconstruction (HR) for discontinuous Galerkin methods, central discontinuous Galerkin methods, central and finite volume schemes.
A common mistake in the implementation of HR.
Combining neural networks and numerical methods for solving differential equations. Predicting a solution containing discontinuities, e.g., shocks or contacts sharply and efficently with the help of neural networks (see