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理学院2018-2019学年夏季第二周学术报告(2)


学 术 报 告


报告题目:Porous Functions: A New Tool For Modeling of Real Materials


报告学者:Prof. Igor Podlubny


报告者单位Technical University of Kosice


报告时间2019年7月8日上午,9:30—10:30


报告地点思源东楼306会议室


摘要:Modeling of real materials (elastic, viscoelastic, granular, porous, etc.) will be discussed from various viewpoints: modeling of their physical properties, some approaches to classification of materials based on their structure and properties, modeling of dynamical processes in materials based on their geometric and physical models, and some other aspects. Methods for identification of parameters of mathematical models of real materials will be discussed, as well as some approaches to performing experimental measurements for that purpose. The use of integer-order models, fractional-order models, numerical approaches and models, computational methods, and other currently available approaches in relation to modeling of real materials will also be discussed.  

A new approach to modeling the geometric structure of real materials based on a new type of functions – porous functions – will be introduced. There will be outlined the general concept, basic operations, operations of calculus, visualization and interpretations, and potential applications. 


报告人简介:Igor Podlubny:现任斯洛伐克共和国科希策技术大学伯格学院教授。主要研究领域,在理论上有分数阶微积分、积分变换、积分方程、正交多项式、数值算法、Mittag-Leffler函数;在应用上有粘弹性、热传导、断裂力学、动力系统、控制理论、生物学和医学、非牛顿物理学。1983年于乌克兰敖德萨大学获得应用数学理学硕士学位;1989年于敖德萨州立大学获得微分方程和数学物理博士学位;1990年于夸美纽斯大学主修应用数学;2001年由斯洛伐克共和国总统授予大学教授称号;2010年由斯洛伐克技术大学授予应用数学高级博士学位。Igor Podlubny教授是国际微积分和应用分析杂志编委会成员、美国数学学会会员、美国数学协会成员、IEEE成员、数学家和物理学家斯洛伐克联盟成员、应用控制论和信息学的斯洛伐克学会会员。2005-2009年担任数学分析与应用杂志副主编,2007-2009年担任应用数学与计算数学副主编。



主办教师:于永光

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