Yulong Xing is a Professor and Vice Chair for Graduate Studies in the Department of Mathematics at The Ohio State University. His research focuses on numerical analysis and scientific computing, particularly in high-order numerical methods for partial differential equations, computational fluid dynamics, and multiscale modeling. He holds a PhD from Brown University (2006) and has authored numerous papers on discontinuous Galerkin methods, well-balanced schemes, and computational approaches for fluid dynamics and geophysical flows. Key research areas include: Discontinuous Galerkin (DG) methods for hyperbolic conservation laws, radiative transfer, and wave propagation Well-balanced schemes for geophysical and astrophysical flows High-order adaptive algorithms for phase field models and nonlinear PDEs Structure-preserving numerical methods for Hamiltonian systems and energy conservation Recent work emphasizes asymptotic preserving methods for multiscale problems, positivity-preserving techniques, and applications to relativistic radiation transport and shallow water equations. Articles often address stability, error analysis, and computational efficiency in complex physical systems. His contributions include pioneering work on DG methods for the Euler equations with gravitational fields and innovative treatments of discontinuous bottom topography in shallow water modeling. Despite extensive publications, no specific awards or grants are explicitly listed in the provided text.
