Faculty Profile
Detailed information about our faculty member

Jiang YANG
Research Interests
Numerical Partial Differential Equations 、Numerical solutions of phase field models and their applications、Numerical solutions of nonlocal models and their applications
Research interest:
◆ Numerical Partial Differential Equations
◆ Numerical solutions of phase field models and their applications
◆ Numerical solutions of nonlocal models and their applications
Educational Background:
◆ Ph.D. of Applied Mathematics, Hong Kong Baptist University, 2014.
◆ B.S. of Mathematics, Zhejiang University, 2010.
Professional Experience:
◆ Assistant Professor, Southern University of Science and Technology, 2017/07- present.
◆ Postdoc, Columbia University, 2015/08 - 2017/07.
◆ Postdoc, Penn State University, 2014/08 - 2015/08.
Honors & Awards:
◆ Student Paper Prize at 10th East Asia SIAM Conference, 2014.
◆ Yakun Scholarship Scheme, Hong Kong Baptist University, 2014.
Selected Publications
- Numerical analysis on the uniform Lp
- -stability of Allen-Cahn equations, to appear in Int. J. Numer. Anal. Mod..
- Numerical analysis of fully discretized Crank--Nicolson scheme for fractional-in-space Allen-Cahn equations, J. Sci. Comput., doi:10.1007/s10915-017-0396-9.
- Fast and Accurate Implementation of Fourier Spectral Approximations of Nonlocal Diffusion Operators and its Applications, J. Comput. Phys., 332 (2017), 118-134.
- Robust a posteriori stress analysis for approximations of nonlocal models via nonlocal gradients, Comp. Meth. Appl. Mech. Eng., 310 (2016), 605-627.
- Asymptotically compatible Fourier spectral approximations of nonlocal Allen-Cahn equations, SIAM J. Numer. Anal., 54(3) (2016), 1899-1919.
- Long time numerical simulations for phase-field problems using \emph{p}-adaptive spectral deferred correction methods, SIAM J. Sci. Comput., 37 (2015), A271-A294.
- Artificial boundary conditions for nonlocal heat equations on unbounded domain, Comm. Comp. Phys., 21(1) (2017), 16-39.
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation, Comm. Math. Sci., 14(6) (2016), 1517-1534.
- Analysis of a nonlocal-in-time parabolic equations, Dis. Cont. Dyn. Sys. B, 22(2) (2017), 339-368.
- Implicit-explicit scheme for the Allen-Cahn equation preserves the maximum principle, J. Comput. Math., 34(5) (2016), 471-481.
- Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models, East Asian Journal on Applied Mathematics, 3 (2013), pp. 59-80.
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation, Inverse Problems and Imaging, Volume 7 (2013), pp. 679 - 695.