应兰州大学数学与统计学院邀请,于帆博士将于2026年10月25日举行线上学术报告。
报告题目:Implicit andimplicit-explicithigh-orderBDF methods for coupled elliptic-parabolic systems
报告摘要:We develop fully implicit as well as implicit-explicit backward difference formula (BDF) schemes of order up to sixfor coupled elliptic-parabolic systems. The implicit-explicit variants are decoupled, thereby enhancing computational efficiency; their convergence analysis requires a weak coupling condition on the poroelastic parameters. In contrast, no coupling conditions are needed for the fully implicit, coupled schemes. We determine novel and suitable multipliers for the two proposed classes and establish error estimates via the energy technique. A prominent advantage of these higher-order schemes is that, with almost the computational cost of first-order schemes, they greatly improve the accuracy.
时 间:2026年10月25日(周日)10:00
腾讯会议ID:672-1382-2936
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个人简介:
于帆,2024年6月博士毕业于兰州大学,现为武汉大学武汉数学与智能研究院博士后。主要研究方向为偏微分方程数值解。主持国家自然科学基金青年科学基金项目(C类),中国博士后科学基金面上项目和湖北省博士后尖端人才引进项目,已在SIAM J. Numer. Anal., IMA J. Numer. Anal., J. Sci. Comput.等期刊上发表SCI论文十余篇。
甘肃省计算数学基础学科研究中心
数学与统计学院
萃英学院
2026年10月22日