Lecture Content：

In this talk, we present a generalized scalar auxiliary variable (SAV) method for the time-dependent Ginzburg-Landau equations. The backward Euler method is employed to discretize the temporal derivative of the equations. This method decouples and linearizes the system to avoid solving nonlinear equations at each step. Theoretical analysis demonstrates that the generalized SAV method can preserve the maximum bound principle and energy stability, which is confirmed by numerical results. It also shows that the numerical algorithm is stable.

Speaker Introduction:

Zhiyong Si, Ph.D., Professor, and Master's Supervisor. He received his Bachelor of Science degree from Henan Normal University, Master of Science degree from Xinjiang University, and Doctor of Science degree from Xi'an Jiaotong University, where he was awarded Outstanding Graduate and Outstanding Thesis. His research areas include finite element analysis, computational fluid dynamics, and numerical analysis. He has presided over and completed 3 National Natural Science Foundation of China projects, 1 First-Class Funding of the China Postdoctoral Science Foundation General Program, and 1 Key Scientific Research Project of Henan Provincial Institutions of Higher Education. He has published over 50 papers in international authoritative journals such as SIAM J. Numer. Anal. and Numer. Math.. He has visited institutions including City University of Hong Kong, University of Pittsburgh (USA), and Peking University.