MenuEvents for 10/24/2018 from all calendars
Inverse Problems and Machine Learning
Time: 12:00PM - 1:00PM
Location: Blocker 628
Speaker: Dr. Ngoc T. Do, University of Arizona
Title: Inverse source problem for the wave equation with reduced data: an explicit solution
Abstract: The inverse source problem for the standard wave equation is a mathematical foundation for several promising emerging modalities of medical imaging. I will review the physical and biological motivation behind these techniques, and will concentrate on the theoretical and algorithmic aspects of this problem. Of special interest here are theoretically exact inversion formulas, explicitly expressing solution of the problem in terms of the measured data. Practically all such formulas require data to be taken on a surface completely surrounding the object under investigation, which, in many cases, cannot be done in practice. The alternative approach we present yields explicit, theoretically exact reconstruction from data measured on an open surface. This is the first result of this kind. Numerical simulations illustrating the work of the method will be also presented. This is a joint work with Prof. L. Kunyansky.
Postdoc Lunch Time Talks
Time: 12:00PM - 12:20PM
Location: BLOC 220
Speaker: Jurij Volcic, Texas A&M University
Description:
Title: Positivity in Noncommuting Variables
Abstract: Free real algebraic geometry deals with noncommutative polynomials and matrix tuples where the said polynomials attain positive semidefinite values. The talk will start with a motivation from Hilbert's 17th problem and conclude with a convexity result that demonstrates intrigues of the noncommutative world.
Postdoc Lunch Time Talks
Time: 12:35PM - 12:55PM
Location: BLOC 220
Speaker: Xin Liu, Texas A&M University
Description:
Title: Free boundary and the gaseous star problem
Abstract: I will talk about a simplified model of radiation gaseous stars inspired by Chandrasekhar’s book on the introduction to stellar structures. In this work, we establish the equilibria of the equations and introduce the degeneracy of density and temperature as an analogy to the physical vacuum in the study of isentropic flows. In addition, we study the local well-posedness of the associated dynamical problem. Some related works will be introduced as well.
Postdoc Lunch Time Talks
Time: 12:55PM - 1:15PM
Location: BLOC 220
Speaker: Peter Jantsch, Texas A&M University
Description:
Title: Piecewise Polynomial Approximation for Parametric PDEs
Abstract: Many real world problems are described by partial differential equations, where the inputs such as boundary data, coefficients, and forcing may not be known exactly. We show how this may lead to the problem of approximating a function of many variables, and discuss some theory and techniques involved in approximating such a function.
Postdoc Lunch Time Talks
Time: 1:15PM - 1:35PM
Location: BLOC 220
Speaker: Alicia Harper, Texas A&M University
AMUSE
Time: 6:00PM - 7:00PM
Location: BLOC 220
Speaker: Mohammad Aramfard, PhD Student, Department of Mechanical Engineering, Texas A&M University
Title: “Heaven of Mathematicians”; An Introduction to Numerical Methods in Mechanics
Abstract: Mechanics is considered to be a fertile field for many branches of mathematics to be born or flourish including calculus of variation and partial differential equations, among others. In this presentation some main branches of mathematics used in mechanics are explained and an overview of numerical methods is presented. Numerical methods are used to solve problems which are difficult or impossible to be solved analytically. Among famous numerical methods used to study systems at atomistic scales, Molecular Dynamics is versatile and easy to use. This method can be used to model individual atoms in different systems from biological to metallic materials.
