College of Arts and Sciences
Applied Math Seminar – Haomin Zhou, Georgia Institute of Technology
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Optimal Transport on Finite Graphs with Applications Abstract: In this talk, I will discuss the optimal transport theory on discrete spaces. Various recent developments related to free energy, Fokker-Planck equations, as well as Wasserstein distance on graphs will be presented, some of them are rather surprising. Applications in game theory and robotics will be
Joint Program in Applied Mathematics – University of Alabama in Huntsville
https://www.uah.edu/science/departments/math/research/applied-mathematics-meetings
Analysis Seminar – David Cruz-Uribe, University of Alabama
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesAbstract: In this talk I will give an over-view of the Stieltjes integral and review some of the many definitions that appear in the literature. I will talk about the strengths and weaknesses of each, particularly in relationship to the classical Darboux and Riemann integrals. I will conclude with a discussion of a new definition
Colloquium – Rodrigo Bañuelos, Purdue University
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: On the discrete Hilbert transform Abstract: The discrete Hilbert transform, acting on the space of (doubly infinite) sequences, was introduced by David Hilbert at the beginning of the 20th century. It is the discrete analogue of the continuous Hilbert transform acting on functions on the real line (conjugate function in the periodic case).
Applied Math Seminar – Shan Zhao, University of Alabama
302 Gordon Palmer HallTitle: An overview of numerical algorithms for the Poisson-Boltzmann equation in biomolecular electrostatics Abstract: The Poisson-Boltzmann Equation (PBE) is a widely used implicit solvent model for the electrostatic analysis of solvated biomolecules. The numerical solution of the PBE is known to be challenging, due to the consideration of discontinuous coefficients, complex geometry of protein structures,
Analysis Seminar – Tuoc Phan, University of Tennessee, Knoxville
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Calderon-Zygmund theory for nonlinear partial differential equations and applications Abstract: In this talk, we will discuss several recent developments on regularity theory estimates in Sobolev spaces for solutions of several classes of elliptic and parabolic nonlinear PDEs. Some classes of considered equations may be singular and degenerate. Important ideas and techniques will be highlighted. Connections and applications of the results
Colloquium – Kyungyong Lee, University of Nebraska-Lincoln
Topic: Introduction to cluster algebras Abstract: The theory of cluster algebras is one of the most mathematically well-studied areas in mathematical physics. Since its discovery in 2001, it has been shown that cluster algebras are related to diverse areas of mathematics such as algebraic geometry, commutative algebra, knot theory, total positivity, quiver representations, string theory, statistical
Colloquium – Bo Li, University of California, San Diego
302 Gordon Palmer HallTitle: Predict the Ligand-Receptor Binding/Unbinding Kinetics with the Variational Implicit-Solvent Model and the String Method Abstract: The ligand-receptor binding/unbinding is a complex biophysical process in which water plays a critical role. To understand the fundamental mechanisms of such a process, we have developed a new and efficient approach that combines our level-set variational implicit-solvent model
Applied Math Seminar – Wei Zhu, University of Alabama
302 Gordon Palmer HallTitle: A lower-order image denoising model for staircase reduction Abstract: In this talk, we will discuss a total-variation based lower-order image denoising model that is able to reduce the well-known staircasing phenomenon possessed by the Rudin-Osher-Fatemi model. To minimize the proposed variational model, we employ augmented Lagrangian method (ALM). Convergence analysis is established for the