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Nonlocal models on bounded domains: formulation, analysis,,and computation

發(fā)布日期:2024-05-11點擊: 發(fā)布人:統(tǒng)計與數(shù)學學院

報告題目:Nonlocal models on bounded domains: formulation, analysis,,and computation

主講人:杜強教授(美國哥倫比亞大學

時間:2024年5月23日(周四)10:00 a.m.

地點:北院卓遠樓305會議室

主辦單位:統(tǒng)計與數(shù)學學院


摘要:There has been much interest in nonlocal models associated with a finite horizon parameter that characterizes the effective range of nonlocal interactions. For such models defined on a bounded domain, it is an important topic to study their mathematical formulations near or at the domain boundary. This lecture will mainly offer an overview of related works. We will discuss a few possibilities for imposing suitable local or nonlocal boundary conditions to complement the nonlocal equations prescribed in the interior of the domain. We will also present recent development in the mathematical and numerical analysis of the resulting problems and their impact on practical applications.


主講人簡介:

杜強教授,應(yīng)用數(shù)學和計算科學家,,現(xiàn)任美國紐約哥倫比亞大學應(yīng)用物理與數(shù)學系傅氏基金會應(yīng)用數(shù)學講席教授,。1983年杜強從中國科技大學數(shù)學系畢業(yè),;1988年獲美Carnegie Mellon大學博士學位,;杜強曾被中國科技部聘請為國家第二批973規(guī)劃“大規(guī)模科學計算研究”項目首席科學家,,該項目2008年獲科技部授予的優(yōu)秀科研團隊獎,。2005年,獲得馮康科學計算獎,。2013年,,當選應(yīng)用與工業(yè)數(shù)學會SIAM會士。2017年,,入選美科學促進會(AAAS)會士,。2018年,國際數(shù)學家大會邀請報告人,。2019年,,當選美數(shù)學學會(AMS)會士。