New Preconditioned Conjugate Gradient Methods For Some Structured Problems In Physics,
2023
Clemson University
New Preconditioned Conjugate Gradient Methods For Some Structured Problems In Physics, Tianqi Zhang
All Dissertations
This dissertation concerns the development and analysis of new preconditioned conjugate gradient (PCG) algorithms for three important classes of large-scale and complex physical problems characterized by special structures. We propose several new iterative methods for solving the eigenvalue problem or energy minimization problem, which leverage the unique structures inherent in these problems while preserving the underlying physical properties. The new algorithms enable more efficient and robust large-scale modeling and simulations in many areas, including condensed matter physics, optical properties of materials, stabilities of dynamical systems arising from control problems, and many more. Some methods are expected to be applicable to …
Stochastic Optimal Control Of Conditional Mckean-Vlasov Equations With Jump And Markovian Switching,
2023
Florida Institute of Technology
Stochastic Optimal Control Of Conditional Mckean-Vlasov Equations With Jump And Markovian Switching, Charles Samuel Conly Sharp
Theses and Dissertations
This thesis obtains a number of results in stochastic optimal control for conditional McKean-Vlasov equations with jump and Markovian switching. First, we prove the uniqueness of the solutions and derive a relevant version of Itô's formula. We provide the dynamic programming principle and prove the associated verification theorem. A stochastic maximum principle is established. Further, we derive the relationship between dynamic programming and the stochastic maximum principle. Additionally, we utilize our stochastic maximum principle result for a mean-variance portfolio selection problem.
Development Of A Physics-Informed Neural Network For Prediction Of Blood Flow,
2023
Florida Institute of Technology - Melbourne
Development Of A Physics-Informed Neural Network For Prediction Of Blood Flow, Marcello Vittorio Mattei Di Eugenio
Theses and Dissertations
Abstract—Objective: We propose a new neural network architecture that accepts point clouds and outputs 3D velocity profiles for aneurysm geometries. Methods: We generated a synthetic aneurysm 3D flow dataset using CFD and used it to train our model architecture and compare it with other popular architectures like U-net and PointNet. We incorporate tools for improving model performance such as incorporating a distance function, a physics-informed loss to enforce the law of mass conservation, and the Huber loss to learn patterns across heterogeneous velocity components of multiple dimensions. Results: The tools implemented together with our architecture achieved the best performance on …
Two-Dimensional Boundary Value Problems For Quasi-Linear Hyperbolic Systems Of Second Order,
2023
Florida Institute of Technology
Two-Dimensional Boundary Value Problems For Quasi-Linear Hyperbolic Systems Of Second Order, Maram Alrumayh
Theses and Dissertations
Boundary value problems in a characteristic rectangle Ω = [0, ω1] × [0, ω2] for second order quasi-linear hyperbolic systems are considered. The concept of strong well– posedness of a boundary value problem is introduced. For initial–boundary value problems there are established: (i) Necessary and sufficient conditions of strong well–posedness; (ii) Unimprovable sufficient conditions of local and global solvability; (iii) Effective sufficient conditions of solvability of Nicoletti type two–point initial– boundary value problems in case, where the righthand side of the system has arbitrary growth order in some phase variables. For nonlocal boundary value problems there are established: (i) Necessary …
Understanding Collective Performance: Human Factors And Team Science,
2023
Embry-Riddle Aeronautical University
Understanding Collective Performance: Human Factors And Team Science, Joseph Keebler
Math Department Colloquium Series
This talk will focus on modern issues with team science. Joe will discuss a variety of projects he's been involved with aimed at improving teamwork in complex sociotechnical systems including military, aviation, and healthcare. He will discuss major theoretical facets of teamwork and provide evidence-based best practices that were utilized to improve teams in applied settings.
Differentiating By Prime Numbers,
2023
University of Nebraska-Lincoln
Differentiating By Prime Numbers, Jack Jeffries
Department of Mathematics: Faculty Publications
It is likely a fair assumption that you, the reader, are not only familiar with but even quite adept at differentiating by x. What about differentiating by 13? That certainly didn’t come up in my calculus class! From a calculus perspective, this is ridiculous: are we supposed to take a limit as 13 changes? One notion of differentiating by 13, or any other prime number, is the notion of p-derivation discovered independently by Joyal [Joy85] and Buium [Bui96]. p-derivations have been put to use in a range of applications in algebra, number theory, and arithmetic geometry. Despite the wide range …
A Primer On The Legendre Transformation,
2023
Monroe County Community College
A Primer On The Legendre Transformation, Steven J. Kilner, David L. Farnsworth
Articles
Guidance is offered for understanding and using the Legendre transformation and its associated duality among functions and curves. The genesis of this paper was encounters with colleagues and students asking about the transformation. A main feature is simplicity of exposition, while keeping in mind the purpose or application for using the transformation.
A Comparative Study On The Rheological Properties Of Upper Convected Maxwell Fluid Along A Permeable Stretched Sheet,
2023
The British University in Egypt
A Comparative Study On The Rheological Properties Of Upper Convected Maxwell Fluid Along A Permeable Stretched Sheet, Sara I. Abdelsalam, W. Abbas, A. M. Megahed, A. M. Said
Basic Science Engineering
The objective of this paper is to examine the flow of a non-Newtonian Maxwell fluid induced by a permeable stretching sheet in motion within a porous medium. The research incorporates the Cattaneo-Christov heat flux model to study the heat transfer process. The utilization of the Cattaneo-Christov heat flux approach becomes relevant in scenarios involving materials with high thermal conductivity or during short time intervals. Consequently, the current investigation holds significant importance. It is assumed that the viscosity of the Maxwell fluid changes exponentially as the temperature changes. The modeling of the physical phenomena being investigated takes into account the effects …
Understanding The Implications Of Underreporting, Vaccine Efficiency And Social Behavior On The Post-Pandemic Spread Using Physics Informed Neural Networks: A Case Study Of China,
2023
East Texas A&M University
Understanding The Implications Of Underreporting, Vaccine Efficiency And Social Behavior On The Post-Pandemic Spread Using Physics Informed Neural Networks: A Case Study Of China, Samiran Ghosh, Alonso Ogueda-Oliva, Aditi Ghosh, Malay Banerjee
Faculty Publications
In late 2019, the emergence of COVID-19 in Wuhan, China, led to the implementation of stringent measures forming the zero-COVID policy aimed at eliminating transmission. Zero COVID policy basically aimed at completely eliminating the transmission of COVID-19. However, the relaxation of this policy in late 2022 reportedly resulted in a rapid surge of COVID-19 cases. The aim of this work is to investigate the factors contributing to this outbreak using a new SEIR-type epidemic model with time-dependent level of immunity. Our model incorporates a time-dependent level of immunity considering vaccine doses administered and time-post-vaccination dependent vaccine efficacy. We find that …
Modelling Prediction Of Cities Real Estate Price Trend Using Recurrent Neural Network: A Case Of Dar Es Salaam City,
2023
1Department of Computer Science and Engineering, College of Information and Communication Technologies, University of Dar es Salaam
Modelling Prediction Of Cities Real Estate Price Trend Using Recurrent Neural Network: A Case Of Dar Es Salaam City, Ellen Kalinga
Tanzania Journal of Engineering and Technology (TJET)
Real estate refers to a class of real property such as land and its associated infrastructure. The prediction of real estate prices in cities, which is affected by a number of parameters, is an open research problem. The lack of reliable and effective tools for price forecasting in real estate, especially in residential housing, can adversely affect investment flows and the growth of the real estate sector. Taking Tanzania as an example, the price prediction practices rely on human suggestions that are prone to personal bias and subjective to price hysteria for personal gain and impact consumer expectations. To address …
Long-Acting Cabotegravir And The Emergence Of Drug-Resistant Hiv,
2023
Howard University
Long-Acting Cabotegravir And The Emergence Of Drug-Resistant Hiv, Katharine Gurski
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Utilizing Non-Negative Least Squares For Data-Driven Discovery Of Dynamics,
2023
George Mason University
Utilizing Non-Negative Least Squares For Data-Driven Discovery Of Dynamics, Tracey G. Oellerich
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression,
2023
Illinois State University
Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression, Samiran Ghosh, Samiran Ghosh
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Incorporating Adaptive Human Behavior Into Epidemiological Models Using Equation Learning,
2023
Georgia Institute of Technology - Main Campus
Incorporating Adaptive Human Behavior Into Epidemiological Models Using Equation Learning, Austin Barton, Jordan Klein, Jonathan Greer, Kevin Flores, Patrick Haughey
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Computational Modeling Using A Novel Continuum Approach Coupled With Pathway-Informed Neural Networks To Optimize Dynein-Mediated Centrosome Positioning In Polarized Cells,
2023
George Mason University
Computational Modeling Using A Novel Continuum Approach Coupled With Pathway-Informed Neural Networks To Optimize Dynein-Mediated Centrosome Positioning In Polarized Cells, Arkaprovo Ghosal, Padmanabhan Seshaiyar Dr., Adriana Dawes Dr., General Genomics Inc.
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
An Ode Model For Investigating The Sleep-Pain Relationship In Sickle Cell Disease,
2023
Virginia Commonwealth University
An Ode Model For Investigating The Sleep-Pain Relationship In Sickle Cell Disease, Quindel Jones, Angela Reynolds, Rebecca Segal, Reginald Mcgee
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Baa-Ttling Sore Mouth In Sheep With Mathematical Modeling,
2023
University of Wisconsin-La Crosse
Baa-Ttling Sore Mouth In Sheep With Mathematical Modeling, David C. Elzinga, W. Christopher Strickland
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Understanding Impact Of Educational Awareness And Vaccines As Optimal Control Mechanisms For Changing Human Behavior In Disease Epidemics,
2023
George Mason University
Understanding Impact Of Educational Awareness And Vaccines As Optimal Control Mechanisms For Changing Human Behavior In Disease Epidemics, Manal Badgaish, Dr. Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Parameter Estimation In Epidemiological And Climate Models Using Ensemble Smoothing With Multiple Data Assimilation,
2023
George Mason University
Parameter Estimation In Epidemiological And Climate Models Using Ensemble Smoothing With Multiple Data Assimilation, Emmanuel Fleurantin
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Multi-Model Approach To Understanding Growth, Reproduction, And Life History Strategies In Bromeliads,
2023
Rhodes College
A Multi-Model Approach To Understanding Growth, Reproduction, And Life History Strategies In Bromeliads, Erin N. Bodine
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
