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Longfei Li, University of Louisiana at Lafayette, Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates

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We propose novel numerical methods for solving a class of high-order hyperbolic PDEs on general geometries, which involve 2nd-order derivatives in time and up-to 4th-order derivatives in space. These PDEs are widely used in modeling thin-walled elastic structures such as beams, plates and shells, etc. High-order spatial derivatives together with general geometries bring a number…

Irina Kogan, NC State, Group Actions, Invariants, and Applications

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I will overview some important milestones in the development of the Invariant Theory from its classical times to modern days, leading into a discussion of the current progress in theory, computation, and applications. The highlights include Hilbert's basis theorem, geometric invariant theory, differential algebra of invariants, the moving frame approach, Lie's work on symmetries of…

Riccardo Sacco, Politecnico di Milano, Italy, A Nonlinear Heterogeneous Transmission Model for Organic Polymer Retinal Prostheses

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In this talk we propose a model for the simulation of retinal prostheses based on the use  of organic polymer nanoparticles (NP). The model consists of a nonlinearly coupled system of elliptic partial differential equations accounting for: (1) light photoconversion into free charged carriers in the NP bulk; (2) charge transport in the NP bulk…

Ilse Ipsen, NC State Randomized Algorithms for Least Squares/Regression Problems

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We review randomized algorithms for the numerical solution of least squares/regression problems, with a focus on algorithms that row-sketch from the left, or column-sketch from the right. These algorithms tend to be efficient and accurate on matrices that have many more rows than columns. We present probabilistic bounds for the amount of sampling required to…

Pengtao Sun, University of Nevada, Las Vegas

SAS 4201

The zoom link and passcode for all talks is below: https://ncsu.zoom.us/j/97638681103?pwd=dDJrRkE3d3NQZEhrRlhOMDc4T0pRUT09 passcode: NAseminar

Dan Lucas, Keele University

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The zoom link and passcode for all talks is below: https://ncsu.zoom.us/j/97638681103?pwd=dDJrRkE3d3NQZEhrRlhOMDc4T0pRUT09 passcode: NAseminar

Daniel Massatt, University of Chicago, Electronics of Relaxed Bilayer 2D Heterostructures in Momentum Space

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Incommensurate stacked 2D materials have gained significant attention after the recent discovery of a new mechanism of superconductivity in systems with small twist angles. Theoretically, the electronics of such systems are studied through tight-binding models. These models can be studied in several different spaces, though momentum space is often the leading favorite for physicists because…

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