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Constructing Pair Operations

In his survey of closure operations, Epstein goes over several constructions which always produce closure operations. Pair operations were introduced by Epstein, R.G. and Vassilev as generalizations of closure and interior operations, but they are so general that they encompass other types of operations that don't behave like closure or interior [Read More...]

Presenter: Sarah Poiani, University of New Mexico
Authors: Sarah Poiani, Janet Vassilev
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: September 30, 2023; 4:10 pm

High-Order Asymptotic Preserving IMEX-BDF-DG Schemes for Linear Kinetic Transport Equation

Kinetic transport equations are used to model phenomena such as radiative transfer and neutron transport. In particular, we consider a linear kinetic transport equation under a diffusive scaling that converges to a diffusion equation as the Knudsen number epsilon goes to 0. One challenge that arises when solving this equation is that it is multiscale in [Read More...]

Presenter: Kimberly Matsuda, Rensselaer Polytechnic Institute
Authors: Kimberly Matsuda, Fengyan Li
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: September 30, 2023; 4:10 pm

Dynamics of a Multi-Layer Fluid System

A long-wave asymptotic model is used to analyze the linear stability of the Navier-Stokes equations. The impact of different parameters on the linear growth of the interfacial disturbances is investigated, when disturbances are small. The growth rate of the disturbances is computed by solving an eigenvalue problem, which helps determine where the system is [Read More...]

Presenter: Awa Traore, University of Alabama
Authors: Awa Traore, David Halpern
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: September 30, 2023; 4:10 pm

Dynamic Entrainment: A data-driven process approach for synchronization in the Hodgkin-Huxley model

Resonance and synchronized rhythm are important phenomena and can be either constructive or destructive in dynamical systems in the nature, specifically in biology. There are many examples showing that the human’s body organs must maintain their rhythm in order to function properly. For instance, in the brain, synchronized or desynchronized electrical [Read More...]

Presenter: Lawan Wijayasooriya, Georgia State University
Authors: Pejman Sanaei, Soheil Saghaf
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: September 30, 2023; 4:10 pm

Analysis and Numerical Simulations of Nanofluids with the Impact of Magnetic Field

Computational Fluid Dynamics predicts many fascinating fluid problems and conjectures for the behavior of solutions related to their flows characterized by conservation laws. The fundamental of all CFD problems are Navier-Stokes equations that describe fluid motion. Several analytical and numerical methods are designed to handle these coupled partial [Read More...]

Presenter: Mittu Walia, Indian Institute of Technology Roorkee
Authors: Mittu Walia
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: September 30, 2023; 4:10 pm

Stability analysis and a priori error estimation for Nitsche-type CIP/GP-CutFEM multi-phase flow.

Two-phase flows are encountered in various industrial applications and natural phenomena. Since the interface is significantly thin in two-phase flow, it can be treated as a discontinuity in the flow field where localized surface tension forces act. Defining the interface implicitly means that elements may be intersected by the interface, and the [Read More...]

Presenter: Himali Gammanpila, Texas Tech University
Authors: Himali Gammanpila , Dr. Eugenio Aulisa
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: September 30, 2023; 4:10 pm

A Simplified Mathematical Model For Erosion and Deposition in a Porous Medium

In this study, we investigate the dynamic processes of erosion and deposition in a porous medium that occur when the solid internal morphology of the porous medium interacts with fluids at its contact interface. These phenomena are encountered in both natural settings, such as soil erosion, and various industrial applications, like water filtration devices [Read More...]

Presenter: Priyanka Joseph, Georgia State University
Authors: Priyanka Joseph, Sai Kunnatha, Kulsum Saber, Emeka Peter Mazi, Dr, Pejman Sanaei
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: September 30, 2023; 4:10 pm

Efficient Iterative Scheme for Solving Variational Inclusion Problem with Applications

Constructing fixed point iterative schemes for solving variational inclusion problems (VIP) are active research areas for many decades. In this talk, overview of the existing algorithms for solving class of VIP will be presented. Furthermore, we introduce a new efficient algorithm which is of Mann type for solving VIP. The method is proposed with inertial [Read More...]

Presenter: Amara Rebecca Eze, Clarkson University
Authors: Amara Eze, Olaniyi Iyiola
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: October 1, 2023; 3:45 pm

A Simplified Model for Cell Proliferation in a Tissue-Engineering Scaffold

Tissue engineering is a burgeoning multidisciplinary field that aims to regenerate damaged tissues and organs by cultivating artificial tissue outside the human body. Central to tissue engineering is the design and fabrication of scaffolds, which serve as templates for tissue growth and regeneration. Environmental factors such as flow rate, shear stress, and [Read More...]

Presenter: Amy María Sims, Georgia State University
Authors: Mona James, Ashok Joseph, Paul Joseph, Sai Kunnatha, Amy María Sims, Haniyeh Fattahpour, Pejman Sanaei
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: October 1, 2023; 3:45 pm

Modeling Crystals with Physics-Informed Neural Networks

Deep learning approaches have seen a wave of success in modeling partial differential equations, being applied to a number of traditional dynamical systems. However, deep learning techniques have seldom been applied to quantum systems. Traditional methods, such as density functional theory, provide accurate solutions but become computationally expensive for [Read More...]

Presenter: Circe Hsu, Northeastern University
Authors: Circe Hsu, Daniel T Larson, Gabriel R Schleder, Marios Mattheakis, Efthimios Kaxiras
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: October 1, 2023; 3:45 pm

Pełcyński’s Property (V) on Positive Tensor Products of Banach Lattices

Let $E$ be an atomic reflexive Banach lattice and $X$ be any Banach lattice with Pełcyński's Property (V) on Positive Tensor Products of Banach Lattices property (V). We show that the positive injective tensor product $E \check{\otimes}_{|\varepsilon|} X$ has Pełcyński's Property (V) on Positive Tensor Products of Banach Lattices property (V) and the [Read More...]

Presenter: Apoorva Mate, University of Mississippi
Authors: Yongjin Li, Apoorva Mate, and Qingying Bu
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: October 1, 2023; 3:45 pm

An Accurate and Efficient Exponential Integrator Method for solving Differential Equations

Several exponential integrator methods have been developed using various Pade rational functions approximation of the matrix exponential such as ETD Crank-Nicolson Scheme. An overview of these methods will be presented in this talk. Furthermore, we introduce a strongly stable second order exponential time differencing scheme for solving differential [Read More...]

Presenter: Madushi U. Wickramasinghe, Clarkson University
Authors: Madushi U. Wickramasinghe, Olaniyi S. Iyiola
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: October 1, 2023; 3:45 pm

Cake Buildup and its Influence on Flow and Transport within Pleated Membrane Filters

Pleated membrane filters play a crucial role in various industrial applications due to their enhanced surface area-to-volume ratio compared to flat filters. This study presents a mathematical model for fouling mechanisms, with a particular focus on cake formation, and flow transport in pleated membrane filters. The proposed three-dimensional mathematical [Read More...]

Presenter: Sima Moshafi, georgia state university
Authors: Sima Moshafi, Daniel Fong, Pejman Sanaei
Symposium Year: 2023
Session: Poster Presentation
Presentation Time: October 1, 2023; 3:45 pm

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