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【学术报告】2024年4月2日Georgios Akrivis教授来我院举办学术讲座

时间:2024-03-28

报告人:Georgios Akrivis(约阿尼拉大学)

邀请人:李东方

报告时间:2024年4月2日(星期二)10:00-12:00

报告地点:科技楼706室

报告题目:The variable two-step BDF methodfor parabolic equations

报告摘要:The two-step BDF method on variable grids for parabolic equations with self-adjoint elliptic part is considered. Standard stability estimates  for adjacent time-step ratios $r_j:=k_j/k_{j-1}\leqslant 1.8685$ and $1.9104$,  respectively,   have been proved by Becker (1998) and Emmrich (2005) by the energy technique with  a single multiplier. Even slightly improving the ratio is cumbersome. Here,  we  present  a novel technique to examine the positive definiteness of banded matrices that are neither Toeplitz nor weakly diagonally dominant; this result can be viewed as a variant of  the Grenander--Szeg\H{o} theorem. Then, utilizing the energy technique with two multipliers, we establish stability  for adjacent time-step  ratios up to $1.9398$.

报告人简介:Georgios Akrivis,希腊约阿尼拉大学教授,SIAM J Num. Anal 编委。计算数学顶级专家,主要研究微分方程数值解。在Numer Math, Math Comput, SIAM. J. Numer. Anal等杂志发表SCI论文70余篇。

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