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College Colloquium: A recent progress on the numerical analysis of variable-step (generalized) BDF2 schemes

发布日期:2026-06-15点击数:

报告人:张继伟 教授(武汉大学)

时间:2026年06月23日 11:15-

地点:理科楼LA103


摘要: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.


邀请人:邱越


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。