活動時間：8:30

活動日期：2018-06-15

地點：長安校區 文津樓數學與信息科學學院學術報告廳

主辦單位：數學與信息科學學院

講座題目1：Orthogonal Polynomials and Asymptotic Methods

講座時間：8:30-9:30

報告人：王世全 院士

講座內容簡介：

Orthogonal Polynomials is an important classical subject in mathematics, physics and engineering. One of the research topics in this area is to investigate the behaviours of these polynomials as their degree tends to infinity. In this talk, I will first recall some discrete and neo-classical orthogonal polynomials. Then I will briefly describe various asymptotic methods in differential equations that are available for applications. Finally, I will present a recent development in the asymptotic theory for second-order difference equations. The importance of this development is that orthogonal polynomials may not satisfy any differential equations, but they all satisfy a three-term recurrence relation, which is a second-order difference equation.

講座人簡介：

王世全院士，著名數學家，香港城市大學劉壁如數學研究中心主任。1982年獲得Killam Research Fellowship，該獎項是加拿大議會授予研究工作者最杰出獎項之一； 1993年被選為加拿大皇家科學院院士；2001年被選為意大利都靈科學院外籍院士；2004年獲法國政府頒授法國國家榮譽軍團勛章；2007年獲選為歐洲科學院院士。

王世全教授于2006年至2016年任香港城市大學副校長，曾任加拿大應用數學協會主席，加拿大數學學會主席及香港數學學會主席，出任18本期刊的編委。2000年他創辦數學期刊《Analysis and Applications》。

王世全教授的主要研究領域是漸進分析和特殊函數等數學領域，他在這些領域做出了一系列原創性的貢獻。迄今他已經在國際期刊發表了近200篇文章并出版了多本學術專著。他的專著《Asymptotic Approximation of Integral》于1989年出版，2001年重印。該書廣為應用數學、統計學及工程學學者及研究員使用，成為研究漸進分析的重要參考文獻。

講座題目2：Asymptotic analysis of differential equations with applications in mathematical biology

講座時間：9:30-10:30

報告人：汪翔升 教授

講座內容簡介：

In the study of biological models, functional analysis and dynamical system approach enable us to obtain qualitative information of the model systems. Moreover, numerical techniques help us interpret the solutions quantitatively. However, there are some limitations on abstract analysis and numerical analysis. In this talk, we will illustrate how to go beyond these limits via asymptotic methods. Especially, we will conduct asymptotic analysis on an ion channel model which couples an elliptic equation with several parabolic equations, and on an avian influenza model which is characterized by a periodic system with time delays. We will find an asymptotic solution for the first model system and approximate the dynamic threshold for the second one.

講座人簡介：

汪翔升教授于2009年獲得香港城市大學博士學位；2009-2013年先后在香港城市大學，加拿大York大學、Memorial University of Newfoundland大學從事博士后研究工作，現在任職于美國University of Louisiana 大學，主要研究漸進分析、微分動力系統、生物數學和計算數學。迄今為止已在SIAM Journal on Control and Optimization、Journal of Differential Equations、Physics Review E、 Journal of Dynamics and Differential Equations、Journal of Theoretical Biology、Statistica Sinica等國際期刊上發表學術論文三十余篇。