Prof.  Jiang  Yang
Southern University of Science and Technology,  China

Title: Energy stable schemes for gradient flows

Abstract:

We propose a new technique dealing with nonlinear terms in the numerical schemes of gradient flows. By introducing a scalar auxiliary variable, we construct second-order schemes unconditionally energy stable based on the Crank--Nicolson (CN) or the BDF scheme for the linear part. The scheme is not restricted to specific forms of the nonlinear part of the free energy, and only requires to solve decoupled linear equations which are independent of the nonlinear terms. We use this technique to deal with several challenging applications which can not be easily handled by existing approaches, and present convincing numerical results to show that our schemes are not only much more efficient and easy to implement, but also can better capture the physical properties in these models.

Biography:

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.