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2018 NCTS Summer Course: Mathematical Problems Arising in Materials Science
10:20 - 14:10 on 7/16, 7/23, 7/25, 7/27, 7/30, July 16 - 30, 2018
Room 201, Astronomy-Mathematics Building, NTU

Petr Plechac (University of Delaware)
Miao-Jung Yvonne Ou (University of Delaware)

Tai-Chia Lin (National Taiwan University)

Lecture time schedule:
7/16, 23, 25, 27, 30
10:20-12:10 lecture
12:10-13:20 lunch and discussion
13:20-14:10 lecture 
In this course, we will focus on the mathematical problems arising from the study of materials and their interplay with other topics in complex function theory, operator theory, homogenization theory and stochastic analysis.
The first part will be on the mathematical quantification of microstructure's influence on the bulk properties of composite materials.
The topics will include
(1) Mathematical structure of effective properties of composite materials
(2) Homogenization theory
(3) Stieltjes functions
(4) Inverse Problems
In the second part of the course, we explore mathematical and computational methods for simulation of molecular systems. We will focus on problems related to building reduced models of stochastic molecular systems, estimating error uncertainty quantification for reduced models,  and coupling of quantum and molecular dynamics.
The topics will include
(1) Stochastic simulations for molecular systems and stochastic reaction networks
(2) Variational inference and information-theoretic methods for reduced models
(3) Parametric sensitivity and uncertainty quantification in stochastic molecular models
(4) Coupling quantum and molecular dynamics (questions and simple models)

Poster: events_3_147180603235969420.pdf

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 (C) 2018 National Center for Theoretical Sciences