A High Order Finite Difference Method To Solve The Steady State NavierStokes Equations, 2021 Prairie View A&M University
A High Order Finite Difference Method To Solve The Steady State NavierStokes Equations, Nihal J. Siriwardana, Saroj P. Pradhan
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we develop a fourth order finite difference method to solve the system of steady state NavierStokes equations and apply it to the benchmark problem known as the square cavity flow problem. The numerical results of 𝑢velocity components and 𝑣velocity components obtained at the center of the cavity are compared with the results obtained by the method developed by Greenspan and Casulli to solve the time dependent system of NavierStokes equations. The method described in this article is easy to implement and it has been shown to be more efficient and stable than the method by Greenspan and ...
Hybrid Algorithm For Singularly Perturbed Delay Parabolic Partial Differential Equations, 2021 Wollega University
Hybrid Algorithm For Singularly Perturbed Delay Parabolic Partial Differential Equations, Imiru T. Daba, Gemechis F. Duressa
Applications and Applied Mathematics: An International Journal (AAM)
This study aims at constructing a numerical scheme for solving singularly perturbed parabolic delay differential equations. Taylor’s series expansion is applied to approximate the shift term. The obtained result is approximated by using the implicit Euler method in the temporal discretization on a uniform step size with the hybrid numerical scheme consisting of the midpoint upwind method in the outer layer region and the cubic spline method in the inner layer region on a piecewise uniform Shishkin mesh in the spatial discretization. The constructed scheme is an ε−uniformly convergent accuracy of order one. Some test examples are considered ...
ThermalDiffusion And DiffusionThermo Effects On Heat And Mass Transfer In Chemically Reacting Mhd Casson Nanofluid With Viscous Dissipation, 2021 University of Ilorin
ThermalDiffusion And DiffusionThermo Effects On Heat And Mass Transfer In Chemically Reacting Mhd Casson Nanofluid With Viscous Dissipation, Timothy L. Oyekunle, Mojeed T. Akolade, Samson A. Agunbiade
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we examined the combined effects of dissipation and chemical reaction in Casson nanofluid motion through a vertical porous plate subjected to the magnetic field effect placed perpendicular to the flow channel. The physical problem is modeled using partial differential equations (PDEs). These sets of PDEs, with suitable similarity transformations, are simplified into ordinary differential equations (ODEs). Collocation technique with legendary basis function is utilized in solving the transformed equations. The numerical analysis on velocity, concentration, and temperature are plotted and tabled for different flow parameters. Our findings show that by raising the Casson parameter close to infinity ...
Two Temperature DualPhaseLag Fractional Thermal Investigation Of Heat Flow Inside A Uniform Rod, 2021 University of Mumbai
Two Temperature DualPhaseLag Fractional Thermal Investigation Of Heat Flow Inside A Uniform Rod, Vinayak Kulkarni, Gaurav Mittal
Applications and Applied Mathematics: An International Journal (AAM)
A nonclassical, coupled, fractionally ordered, dualphaselag (DPL) heat conduction model has been presented in the framework of the twotemperature theory in the bounded Cartesian domain. Due to the application of twotemperature theory, the governing heat conduction equation is wellposed and satisfying the required stability criterion prescribed for a DPL model. The mathematical formulation has been applied to a uniform rod of finite length with traction free ends considered in a perfectly thermoelastic homogeneous isotropic medium. The initial end of the rod has been exposed to the convective heat flux and energy dissipated by convection into the surrounding medium through the ...
Generation And Statistical Properties For LindleyPolynomial Distribution, 2021 CNAM
Generation And Statistical Properties For LindleyPolynomial Distribution, Dariush Ghorbanzadeh
Applications and Applied Mathematics: An International Journal (AAM)
For the modeling of the wind speed, we propose a family of distributions in polynomial form generating the Lindley distribution. We call this distribution LindleyPolynomial distribution. The estimation of parameters using the maximum product spacing estimation method. A real data set has been considered to illustrate the practical utility of the paper.
Computational Design Of Nonlinear StressStrain Of Isotropic Materials, 2021 National University of Uzbekistan Address:4, University Street, Tashkent 100174, Republic of Uzbekistan Email: asad3@yandex.ru, Phone: +998903715556,
Computational Design Of Nonlinear StressStrain Of Isotropic Materials, Askhad M.Polatov, Akhmat M. Ikramov, Daniyarbek Razmukhamedov
Chemical Technology, Control and Management
The article deals with the problems of numerical modeling of nonlinear physical processes of the stressstrain state of structural elements. An elastoplastic medium of a homogeneous solid material is investigated. The results of computational experiments on the study of the process of physically nonlinear deformation of isotropic elements of threedimensional structures with a system of one and doubleperiodic spherical cavities under uniaxial compression are presented. The influence and mutual influence of stress concentrators in the form of spherical cavities, vertically located two cavities and a horizontally located system of two cavities on the deformation of the structure are investigated. Numerical ...
HighOrder Flexible Multirate Integrators For Multiphysics Applications, 2021 Southern Methodist University
HighOrder Flexible Multirate Integrators For Multiphysics Applications, Rujeko Chinomona
Mathematics Theses and Dissertations
Traditionally, time integration methods within multiphysics simulations have been chosen to cater to the most restrictive dynamics, sometimes at a great computational cost. Multirate integrators accurately and efficiently solve systems of ordinary differential equations that exhibit different time scales using two or more time steps. In this thesis, we explore three classes of time integrators that can be classified as onestep multistage multirate methods for which the slow dynamics are evolved using a traditional one step scheme and the fast dynamics are solved through a sequence of modified initial value problems. Practically, the fast dynamics are subcycled using a small ...
Morgan Voyce Approach For Solution Bratu Problems, 2021 university of technology  iraq
Morgan Voyce Approach For Solution Bratu Problems, Bushra Eesa Kashiem
Emirates Journal for Engineering Research
Bratu equations are substantial in electrostatic and plasma problem. The aim of this paper is design a morganvoyce approach for solving bratu problem. We present a morganvoyce polynomial along with significant properties; the effectiveness of the proposed algorithm is demonstrated by considering three numerical examples.
Lexicographic Sensitivity Functions For Nonsmooth Models In Mathematical Biology, 2021 University of Maine
Lexicographic Sensitivity Functions For Nonsmooth Models In Mathematical Biology, Matthew D. Ackley
Electronic Theses and Dissertations
Systems of ordinary differential equations (ODEs) may be used to model a wide variety of realworld phenomena in biology and engineering. Classical sensitivity theory is wellestablished and concerns itself with quantifying the responsiveness of such models to changes in parameter values. By performing a sensitivity analysis, a variety of insights can be gained into a model (and hence, the realworld system that it represents); in particular, the information gained can uncover a system's most important aspects, for use in design, control or optimization of the system. However, while the results of such analysis are desirable, the approach that classical ...
A ComponentWise Approach To Smooth Extension Embedding Methods, 2021 The University of Southern Mississippi
A ComponentWise Approach To Smooth Extension Embedding Methods, Vivian Montiforte
Dissertations
Krylov Subspace Spectral (KSS) Methods have demonstrated to be highly scalable methods for PDEs. However, a current limitation of these methods is the requirement of a rectangular or boxshaped domain. Smooth Extension Embedding Methods (SEEM) use fictitious domain methods to extend a general domain to a simple, rectangular or boxshaped domain. This dissertation describes how these methods can be combined to extend the applicability of KSS methods, while also providing a componentwise approach for solving the systems of equations produced with SEEM.
Efficient Denoising Of High Resolution Color Digital Images Utilizing Krylov Subspace Spectral Methods, 2021 University of Southern Mississippi
Efficient Denoising Of High Resolution Color Digital Images Utilizing Krylov Subspace Spectral Methods, Eva Lynn Greenman
Dissertations
The solution to a parabolic nonlinear diffusion equation using a Krylov Subspace Spectral method is applied to high resolution color digital images with parallel processing for efficient denoising. The evolution of digital image technology, processing power, and numerical methods must evolve to increase efficiency in order to meet current usage requirements. Much work has been done to perfect the edge detector in PeronaMalik equation variants, while minimizing the effects of artifacts. It is demonstrated that this implementation of a regularized partial differential equation model controls backward diffusion, achieves strong denoising, and minimizes blurring and other ancillary effects. By adaptively tuning ...
Application Of Randomness In Finance, 2021 CUNY New York City College of Technology
Application Of Randomness In Finance, Jose Sanchez, Daanial Ahmad, Satyanand Singh
Publications and Research
Brownian Motion which is also considered to be a Wiener process and can be thought of as a random walk. In our project we had briefly discussed the fluctuations of financial indices and related it to Brownian Motion and the modeling of Stock prices.
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 ...
Toward Improving Understanding Of The Structure And Biophysics Of Glycosaminoglycans, 2021 University of New England
Toward Improving Understanding Of The Structure And Biophysics Of Glycosaminoglycans, Elizabeth K. Whitmore
Electronic Theses and Dissertations
Glycosaminoglycans (GAGs) are the linear carbohydrate components of proteoglycans (PGs) that mediate PG bioactivities, including signal transduction, tissue morphogenesis, and matrix assembly. To understand GAG function, it is important to understand GAG structure and biophysics at atomic resolution. This is a challenge for existing experimental and computational methods because GAGs are heterogeneous, conformationally complex, and polydisperse, containing up to 200 monosaccharides. Molecular dynamics (MD) simulations come close to overcoming this challenge but are only feasible for short GAG polymers. To address this problem, we developed an algorithm that applies conformations from unbiased allatom explicitsolvent MD simulations of short GAG polymers ...
Modeling Covid19 Infection Rates Using Sir And Arima Models, 2021 University of Nevada, Las Vegas
Modeling Covid19 Infection Rates Using Sir And Arima Models, Janelle Domantay, Ilya Pivavaruk, Victor Taksheyev
Undergraduate Research Symposium Posters
With the onset of the COVID19 pandemic, it has become of increasing interest to both monitor and predict the growth of its infection rates. In order to analyze the accuracy of epidemiological prediction, we consider two different models for prediction, the Susceptible Infected and Removed (SIR), and Autoregressive Integrated Moving Average (ARIMA) models. Using a dataset of Clark County COVID19 infections, we create various ARIMA and SIR models that attempt to predict the progression of COVID19 infections whilst comparing these predictions to the dataset. We observed that the ARIMA model performed more accurately overall, having a much lower Root Mean ...
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 ...