Netsci High: Bringing Agency To Diverse Teens Through The Science Of Connected Systems, 2021 New York Hall of Science
Netsci High: Bringing Agency To Diverse Teens Through The Science Of Connected Systems, Stephen M. Uzzo, Catherine B. Cramer, Hiroki Sayama, Russell Faux
Northeast Journal of Complex Systems (NEJCS)
This paper follows NetSci High, a decadelong initiative to inspire teams of teenage researchers to develop, execute and disseminate original research in network science. The project introduced high school students to the computerbased analysis of networks, and instilled in the participants the habits of mind to deepen inquiry in connected systems and statistics, and to sustain interest in continuing to study and pursue careers in fields involving network analysis. Goals of NetSci High ranged from proximal learning outcomes (e.g., increasing high school student competencies in computing and improving student attitudes toward computing) to highly distal (e.g., preparing students ...
Flocc: From AgentBased Models To Interactive Simulations On The Web, 2021 Open Set
Flocc: From AgentBased Models To Interactive Simulations On The Web, Scott Donaldson
Northeast Journal of Complex Systems (NEJCS)
Agentbased modeling (ABM) is a computational technique wherein systems are represented through the actions and interactions of many individual entities (‘agents’) over time. ABM often attempts to elucidate the unpredictable, highlevel behavior of systems through the predictable, lowlevel behavior of actors within the system. There are currently few software or frameworks for ABM that allow modelers to design and build interactive models on the web, for a wide audience as well as a scientifically literate audience wellversed in complexity, models, and simulations. Flocc is a novel framework for agentbased modeling written in JavaScript, the lingua franca programming language of the ...
Emergent Hierarchy Through ConductanceBased Degree Constraints, 2021 Air Force Research Laboratory / Clarkson University
Emergent Hierarchy Through ConductanceBased Degree Constraints, Christopher Tyler Diggans, Jeremie Fish, Erik M. Bollt
Northeast Journal of Complex Systems (NEJCS)
The presence of hierarchy in many realworld networks is not yet fully understood. We observe that complex interaction networks are often coarsegrain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for simplicity of representation and computational feasibility. The emergence of hierarchy in such growing complex networks may stem from one particular property of these ignored subgraphs: their graph conductance. Being a quantification of the main bottleneck of flow through the coarsegrain node, this scalar quantity implies a structural limitation and supports the consideration of heterogeneous degree constraints. The internal conductance values of the subgraphs are ...
Are Terrorist Networks Just Glorified Criminal Cells?, 2021 USMA
Are Terrorist Networks Just Glorified Criminal Cells?, Elie Alhajjar, Ryan Fameli, Shane Warren
Northeast Journal of Complex Systems (NEJCS)
The notions of organized crime and terrorism have an old and rich history around the globe. Researchers and practitioners have been studying events and phenomena related to these notions for a long time. There are pointers in the literature in which it is misleading to see the unfair comparison between terrorist and criminal networks with the argument that all actors involved in these networks are simply evil individuals. In this paper, we conduct a systematic study of the operational structure of such networks from a network science perspective. We highlight some of the major differences between them and support our ...
Computational Modelling Enables Robust Multidimensional Nanoscopy, 2021 Washington University in St. Louis
Computational Modelling Enables Robust Multidimensional Nanoscopy, Matthew D. Lew
Electrical & Systems Engineering Publications and Presentations
The following sections are included:

Present State of Computational Modelling in Fluorescence Nanoscopy

Recent Contributions to Computational Modelling in Fluorescence Nanoscopy

Outlook on Computational Modelling in Fluorescence Nanoscopy

Acknowledgments

References
Modeling And Analysis Of Affiliation Networks With Subsumption, 2021 The Graduate Center, City University of New York
Modeling And Analysis Of Affiliation Networks With Subsumption, Alexey Nikolaev
Dissertations, Theses, and Capstone Projects
An affiliation (or twomode) network is an abstraction commonly used for representing systems with group interactions. It consists of a set of nodes and a set of their groupings called affiliations. We introduce the notion of affiliation network with subsumption, in which no affiliation can be a subset of another. A network with this property can be modeled by an abstract simplicial complex whose facets are the affiliations of the network.
We introduce a new model for generating affiliation networks with and without subsumption (represented as simplicial complexes and hypergraphs, respectively). In this model, at each iteration, a constant number ...
Numerical Integration Through Concavity Analysis, 2021 EmbryRiddle Aeronautical University
Numerical Integration Through Concavity Analysis, Daniel J. Pietz
RoseHulman Undergraduate Mathematics Journal
We introduce a relationship between the concavity of a C2 func tion and the area bounded by its graph and secant line. We utilize this relationship to develop a method of numerical integration. We then bound the error of the approximation, and compare to known methods, finding an improvement in error bound over methods of comparable computational complexity.
Multigrid For The Nonlinear Power Flow Equations, 2020 Southern Methodist University
Multigrid For The Nonlinear Power Flow Equations, Enrique Pereira Batista
Mathematics Theses and Dissertations
The continuously changing structure of power systems and the inclusion of renewable
energy sources are leading to changes in the dynamics of modern power grid,
which have brought renewed attention to the solution of the AC power flow equations.
In particular, development of fast and robust solvers for the power flow problem
continues to be actively investigated. A novel multigrid technique for coarsegraining
dynamic power grid models has been developed recently. This technique uses an
algebraic multigrid (AMG) coarsening strategy applied to the weighted
graph Laplacian that arises from the power network's topology for the construction
of coarsegrain approximations ...
Uncertainty Quantification Of Nonreflecting Boundary Schemes, 2020 Southern Methodist University
Uncertainty Quantification Of Nonreflecting Boundary Schemes, Brian Citty
Mathematics Theses and Dissertations
Numerical methods have been developed to solve partial differential equations involving the farfield radiation of waves. In addition, there has been recent interest in uncertainty quantification a burgeoning field involving solving PDEs where random variables are used to model uncertainty in the data. In this thesis we will apply uncertainty quantification methodology to the 1D and 2D wave equation with nonreflecting boundary. We first derive a boundary condition for the 1D wave equation assuming several models of the random wave speed. Later we use our result to compare to an asymptotic SDE approach, and finally we repeat our analysis for ...
The Revised Nim For Solving The NonLinear System Variant Boussinesq Equations And Comparison With Nim, 2020 University of Mosul, Mosul
The Revised Nim For Solving The NonLinear System Variant Boussinesq Equations And Comparison With Nim, Oday Ahmed Jasim
Karbala International Journal of Modern Science
This research aims to guide researchers to use a new method, and it is the Revised New Iterative Method (RNIM) to solve partial differential equation systems and apply them to solve problems in various disciplines such as chemistry, physics, engineering and medicine. In this paper, the numerical solutions of the nonlinear Variable Boussinesq Equation System (VBE) were obtained using a new modified iterative method (RNIM); this was planned by (Bhaleker and DatterderGejj). A numerical solution to the Variable Boussinesq Equation System (VBE) was also found using a widely known method, a new iterative method (NIM). By comparing the numerical solutions ...
Longitudinal Partitioning Waveform Relaxation Methods For The Analysis Of Transmission Line Circuits, 2020 The University of Western Ontario
Longitudinal Partitioning Waveform Relaxation Methods For The Analysis Of Transmission Line Circuits, Tarik Menkad
Electronic Thesis and Dissertation Repository
Three research projects are presented in this manuscript. Projects one and two describe two waveform relaxation algorithms (WR) with longitudinal partitioning for the timedomain analysis of transmission line circuits. Project three presents theoretical results about the convergence of WR for chains of general circuits.
The first WR algorithm uses a assignmentpartition procedure that relies on inserting external series combinations of positive and negative resistances into the circuit to control the speed of convergence of the algorithm. The convergence of the subsequent WR method is examined, and fast convergence is cast as a generic optimization problem in the frequencydomain. An automatic ...
Using Statistical Analysis To Examine Weather Variability In New York City, 2020 CUNY New York City College of Technology
Using Statistical Analysis To Examine Weather Variability In New York City, Ryan Chen, Yuhuang Wang, Jiehao Huang
Publications and Research
As the overall temperature of Earth continues to warm, atmospheric hazards (e.g. heatwaves, cyclones) may be driving increases in climatological trends. This study examines the daily precipitation and temperature record of the greater New York City region during the 19792014 period. Daily station observations from three greater New York City airports: John F. Kennedy (JFK), LaGuardia (LGA) and Newark (EWR), are used in this study. Climatological & statistical analyses are performed for the weather variability of New York City metro area to understand the impacts of climate change.The temperature climatology reveals a distinct seasonal cycle, while the precipitation climatology ...
A Collection Of Fast Algorithms For Scalar And VectorValued Data On Irregular Domains: Spherical Harmonic Analysis, DivergenceFree/CurlFree Radial Basis Functions, And Implicit Surface Reconstruction, 2020 Boise State University
A Collection Of Fast Algorithms For Scalar And VectorValued Data On Irregular Domains: Spherical Harmonic Analysis, DivergenceFree/CurlFree Radial Basis Functions, And Implicit Surface Reconstruction, Kathryn Primrose Drake
Boise State University Theses and Dissertations
This dissertation addresses problems that arise in a diverse group of fields including cosmology, electromagnetism, and graphic design. While these topics may seem disparate, they share a commonality in their need for fast and accurate algorithms which can handle large datasets collected on irregular domains. An important issue in cosmology is the calculation of the angular power spectrum of the cosmic microwave background (CMB) radiation. CMB photons offer a direct insight into the early stages of the universe's development and give the strongest evidence for the Big Bang theory to date. The Hierarchical Equal Area isoLatitude Pixelation (HEALPix) grid ...
Sum Of Cubes Of The First N Integers, 2020 California State University, San Bernardino
Sum Of Cubes Of The First N Integers, Obiamaka L. Agu
Electronic Theses, Projects, and Dissertations
In Calculus we learned that Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at ...
Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations, 2020 Illinois State University
Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations, Attou Miloua
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Deep Learning With Physics Informed Neural Networks For The Airborne Spread Of Covid19 In Enclosed Spaces, 2020 George Mason University
Deep Learning With Physics Informed Neural Networks For The Airborne Spread Of Covid19 In Enclosed Spaces, Udbhav Muthakana, Padmanabhan Seshaiyer, Maziar Raissi, Long Nguyen
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modelling And In Silico Experimentation To Estimate The Quantity Of Covid19 Infected Individuals In Tijuana, México, 2020 Tijuana Institute of Technology, México
Mathematical Modelling And In Silico Experimentation To Estimate The Quantity Of Covid19 Infected Individuals In Tijuana, México, Karla A. Encinas, Luis N. Coria, Paul A. Valle
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
From Wave Propagation To Spin Dynamics: Mathematical And Computational Aspects, 2020 University of New Mexico
From Wave Propagation To Spin Dynamics: Mathematical And Computational Aspects, Oleksii Beznosov
Mathematics & Statistics ETDs
In this work we concentrate on two separate topics which pose certain numerical challenges. The first topic is the spin dynamics of electrons in highenergy circular accelerators. We introduce a stochastic differential equation framework to study spin depolarization and spin equilibrium. This framework allows the mathematical study of known equations and new equations modelling the spin distribution of an electron bunch. A spin distribution is governed by a socalled Bloch equation, which is a linear FokkerPlanck type PDE, in general posed in six dimensions. We propose three approaches to approximate solutions, using analytical and modern numerical techniques. We also present ...
Applying The Data: Predictive Analytics In Sport, 2020 University of Washington, Tacoma
Applying The Data: Predictive Analytics In Sport, Anthony Teeter, Margo Bergman
Access*: Interdisciplinary Journal of Student Research and Scholarship
The history of wagering predictions and their impact on wide reaching disciplines such as statistics and economics dates to at least the 1700’s, if not before. Predicting the outcomes of sports is a multibilliondollar business that capitalizes on these tools but is in constant development with the addition of big data analytics methods. Sportsline.com, a popular website for fantasy sports leagues, provides odds predictions in multiple sports, produces proprietary computer models of both winning and losing teams, and provides specific point estimates. To test likely candidates for inclusion in these prediction algorithms, the authors developed a computer model ...
A PhaseField Approach To DiffusionDriven Fracture, 2020 Louisiana State University and Agricultural and Mechanical College
A PhaseField Approach To DiffusionDriven Fracture, Friedrich Wilhelm Alexander Dunkel
LSU Doctoral Dissertations
In recent years applied mathematicians have used modern analysis to develop variational phasefield models of fracture based on Griffith's theory. These variational phasefield models of fracture have gained popularity due to their ability to predict the crack path and handle crack nucleation and branching.
In this work, we are interested in coupled problems where a diffusion process drives the crack propagation. We extend the variational phasefield model of fracture to account for diffusiondriving fracture and study the convergence of minimizers using gammaconvergence. We will introduce Newton's method for the constrained optimization problem and present an algorithm to solve ...