Research interests: applied math, numerical analysis and scientific computing.

Recent work:

J. Hu, R. Shu and X. Zhang, Asymptotic-preserving and
positivity-preserving implicit-explicit schemes for the stiff BGK
equation, submitted to SIAM Journal on Numerical Analysis, PDF

S. Srinivasan, J. Poggie and X. Zhang, A positivity-preserving high
order discontinuous Galerkin scheme for convection-diffusion equations,
submitted to Journal of Computational Physics, PDF

W. Huang, K. Gallivan and X. Zhang, Solving PhaseLift by low-rank Riemannian optimization methods for complex
semidefinite constraints. SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 39-5 (2017),
pp. B840-B859. CODE.PDF

J. Hu and X. Zhang, On a class of implicit-explicit Runge Kutta schemes
for stiff kinetic equations preserving the Navier-Stokes limit,
to appear in Journal of Scientific Computing, PDF

X.
Zhang, On positivity-preserving high order discontinuous Galerkin
schemes for compressible Navier-Stokes equations, Journal of Computational Physics, 328 (2017): 301–343.DOI. PDF

X. Zhang, A curved boundary treatment for discontinuous
Galerkin schemes solving time dependent problems,
Journal of Computational Physics, 308 (2016): 153-170.DOI.PDF