# Past Events

## Events Search and Views Navigation

## April 2020

## September 2020

### Applied Math Talk: Variable Selection via Arbitrary Rectangle-Range Generalized Elastic Net given by Yujia Ding (CGU)

We propose a regularization and variable selection method, named arbitrary rectangle-range generalized elastic net (ARGEN). It can be applied in high dimensional sparse linear regression models. We propose an algorithm to solve ARGEN; it is an extension of multiplicative updates. Multiple simulation studies and a real-world application in the stock market show that ARGEN applies to more complicated problems, outperforms and extends the lasso, ridge, and elastic net.

Find out more »### Applied Math Talk: Nonlocal Helmholz-Hodge decompositions for nonlocal operators given by Prof. Petronela Radu (University of Nebraska – Lincoln)

Nonlocal theories have emerged with powerful models and methods to analyze and predict complex phenomena. Different versions of nonlocal operators have been proposed, each with its advantages and challenges. In this talk I will give an introduction to main ideas in the nonlocality framework and present two sets of results for Helmholtz-Hodge type decompositions.

Find out more »## October 2020

### Applied Math Talk: Multiwavelet discontinuous Galerkin methods and automated parameters for troubled cell indication given by Professor Jennifer Ryan (Colorado School of Mines)

This talk focuses on using a multiwavelet representation of the discontinuous Galerkin (DG) approximation for trouble cell indication. The multiwavelet representation is related to the jumps in the (derivatives of) the DG approximation. We then compare this indicator with other, more established indicators as well as machine learning approaches and demonstrate that it is possible to choose the parameters for troubled cell indicators automatically and appropriately.

Find out more »### Applied Math Talk: Bounded-confidence models for opinion dynamics on online social networks given by Professor Heather Zinn Brooks (HMC)

Online social media networks have become extremely influential sources of news and information. Given the large audience and the ease of sharing content online, the content that spreads on online social networks can have important consequences on public opinion, policy, and voting. To better understand the online content spread, mathematical modeling of opinion dynamics is becoming an increasingly popular field of study. In this talk, I will introduce you to a special class of models of opinion dynamics on networks called bounded-confidence…

Find out more »### Applied Math Talk: Thin liquid film resulting from a distributed source on a vertical wall given by Yadong Ruan (CGU)

In this talk, we will talk about the thin film model derived for liquid film resulting from a distributed source on a vertical wall and some distinct properties about the model. We will discuss the different behavior and properties of the model with and without considering surface tension. When the surface tension is neglected, a critical source strength is found below which the film flows entirely upward due to the airflow, and above which some of the flow is carried…

Find out more »## November 2020

### Applied Math Seminar: Numerical approximation of statistical solutions of hyperbolic systems of conservation laws given by Professor Franziska Weber (Carnegie Mellon University)

Statistical solutions are time-parameterized probability measures on spaces of integrable functions, which have been proposed recently as a framework for global solutions for multi-dimensional hyperbolic systems of conservation laws. We present a numerical algorithm to approximate statistical solutions of conservation laws and show that under the assumption of 'weak statistical scaling', which is inspired by Kolmogorov's 1941 turbulence theory, the approximations converge in an appropriate topology to statistical solutions. We will show numerical experiments which indicate that the assumption might…

Find out more »### Applied Math Seminar: Multiscale analysis and high-order schemes for nonlinear multilevel Maxwell-Bloch equations given by Prof. Qing Xia (Rensselaer Polytechnic Institute)

In this talk, we will present a recent study of the Maxwell-Bloch equations that model the nonlinear interactions of light and matter, where the light is modeled classically by the Maxwell's equations with dispersions and the medium is modeled quantum-mechanically by the multilevel rate equations. We will show the connection between rate equations and the density matrix, where the former formulation is widely used in the engineering community and the latter in the Physics literature. A multiscale analysis of the…

Find out more »### Social hour

Join us for a social hour with applied mathematicians at Claremont Colleges and University of Utah.

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