School of Mathematics
Georgia Institute of Technology
686 Cherry Street, Skiles Building
Atlanta, GA 30332-0160
Phone: 404-894-2381
Fax: 404-894-4409
E-mail: yingjie at math dot gatech dot edu
My research interests have been on the numerical analysis, scientific
computing,
algorithm, partial differential equations and tangential suspension system.
I have been working on:
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 [1] (1D) and [2] (2D). )
