Speaker: Zhang Jiwei, professor and doctoral supervisor, Wuhan University

Date: November 14, 2024

Time: 15:30-17:00

Location: B120d, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

While the variable time-steps two-step backward differentiation formula (BDF2) is valuable and widely used to capture the multi-scale dynamics of model solutions, the stability and convergence of BDF2 with variable time steps still remain incomplete. In this talk, we will revisit BDF2 scheme for a class of linear and nonlinear problems and present that BDF2 scheme is unconditionally stable under a mild adjacent time-step ratio condition, and achieve the second-order temporal convergence in L2- and H1-norms. Our analysis shows that the second-order convergence is sharp and robust.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/197019.htm