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Jiang YANG
Associate Professor
Research interest: 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 $L^p$-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.