Digital Commons Network^™

Physics-Informed Neural Network Solution Of The 2d Helmholtz Equation With A Gaussian Source, Theodoros Panagiotakopoulos, Chris Velissaris, Aristotelis Nikolaos Rapsomanikis

Faculty Scholarship and Creative Works

We present a physics-informed neural network (PINN) framework for solving the complex-valued two-dimensional Helmholtz equation with a localized Gaussian source and spatially varying permittivity. Starting from Maxwell’s equations, the frequency-domain scalar Helmholtz formulation under transverse electric (TE) polarization is derived and enforced directly within the neural network loss function. The model employs a sinusoidal representation network (SIREN) architecture to capture the oscillatory nature of wave solutions and incorporates the Sommerfeld radiation condition to impose open boundary conditions. Training is performed using a hybrid collocation strategy combined with a two-stage optimization procedure consisting of Adam followed by L-BFGS. Numerical experiments in …

Aiw26s: Applied Llms, Chengjie Zheng

Paul English Applied Artificial Intelligence (AI) Institute Publications

This workshop introduces the concept of applied large language models (LLMs), focusing on how users can move from simple prompt-based interaction to building structured, repeatable AI-driven workflows. Participants explore how AI enables faster prototyping, lowers barriers to entry, and expands who can participate in building technology. Through a hands-on demonstration, attendees learn how to transform raw inputs into meaningful outputs such as summaries, key concepts, and actionable steps. The session emphasizes the importance of clear problem definition, iterative refinement, and critical evaluation when working with AI systems.

Ideals And Lattices In Number Fields, Sarah Ali Saeed Alyammahi

Thesis/ Dissertation Defenses

This thesis investigates algebraic number fields and their rings of integers, which generalize the ring of integers Z in Q. The study focuses on ideals, units, and ideal class groups, which describe the arithmetic structure of number fields and the failure of unique factorization. Key invariants such as the norm, trace, and discriminant are developed and applied, with particular emphasis on quadratic number fields and classical examples such as the Gaussian and Eisenstein integers. Some explicit computations of ideal class groups are carried out. The thesis also explores connections with lattice theory by interpreting rings of integers as lattices and …

Digital Transformation And Market Microstructure: Analyzing The Impact Of Algorithmic Trading On National Stock Exchange Of India Price Discovery Mechanisms Through Complex Systems Theory., Mukesh Bhaskar Ahirrao, Harshal Anil Salunkhe, Vishal Sunil Rana

Northeast Journal of Complex Systems (NEJCS)

Abstract

This research examines the evolution of market microstructure at the National Stock Exchange of India (NSE) from 2020 to 2024, a period characterized by substantial growth in algorithmic trading from 35% to 44% of total trading volume. Using market microstructure data and analytical techniques grounded in complex systems perspectives, the study documents temporal patterns in price discovery, liquidity, volatility, and market efficiency associated with this digital transformation.

The analysis reveals several notable changes in market characteristics. Transaction costs improved significantly, with bid-ask spreads declining by 23.4% and market depth increasing by 18.1%. Price adjustment half-life decreased by 50%, indicating …

On Topological And Algebraic K-Theories, Amar Yasser Aldakheel

Thesis/ Dissertation Defenses

This thesis explores topological K-theory, a powerful framework for studying invariants of topological spaces via algebraic structures. We investigate the construction of K-groups, with particular emphasis on the categorical formulation. The exposition is structured pedagogically, with careful development of the main concepts supported by detailed proofs and examples. The categories of vector bundles and projective modules are thoroughly defined and investigated. A central result studied in this thesis is the Serre–Swan theorem, which provides a bridge between the algebraic context of projective modules and the geometric context of vector bundles, enabling the use of algebraic techniques to solve geometric problems, …

Synthesis And Catalytic Activity Testing Of Coke-Resistant Nickel-Based Catalysts For Methane Reforming And Hydrogen Production, Abdulmuizz Adamson

Thesis/ Dissertation Defenses

Ni-based catalysts are widely used in methane reforming and hydrogen production, but their industrial application is limited by deactivation caused by carbon deposition (coking). This dissertation examines the role of iron as a dopant in improving catalytic performance and coking resistance, with emphasis on its incorporation method and impact on coke oxidation during different methane reforming reactions.

The results show that dispersing iron ions within the γ-Al₂O₃ support significantly enhances catalyst coking resistance and hence catalyst performance under partial oxidation and combined partial oxidation-dry reforming conditions. This improvement is attributed, mainly, to the redox function of Fe and the enhanced …

Fully Decentralized Hierarchical Federated Learning At The Edge With Post-Quantum Secure Communication, Tariq Qayyum

Thesis/ Dissertation Defenses

Federated learning (FL) enables collaborative model training without centralizing raw data, but deploying FL at scale in real edge environments remains challenging because iterative training and aggregation must operate over heterogeneous, resource-constrained, and often mobile devices with time-varying connectivity. Conventional hierarchical federated learning (HFL) partially mitigates communication cost by introducing fog/edge aggregation, yet many designs retain cloud-based global aggregation and cloud-centric coordination. This places wide-area network latency on the critical path of every training round, creates a single point of failure, and limits responsiveness as model sizes and federation scale grow. Moreover, moving coordination and aggregation closer to the edge …

Reday Program 2026, Bryant University

Bryant REDay (Research and Engagement Day)

Program for the 2026 Bryant REDay (Research and Engagement Day). Program includes schedule at a glance, descriptions for panels, workshops, and presentations, along with sign-up links for specific sessions in the electronic version of the program. Printed program was in color with double-sided printing on 8 1/2" x 11" paper stapled together in the upper left corner.

Optimizing Controller Speed And Torque To Reduce Drivetrain Stress, Selene J. Welch

SACAD: Scholarly Activities

This project investigates how torque delivery from the motor controller affects mechanical stress on the rear freewheel ratchet mechanism of a three-wheel electric race car. Excessive initial torque has caused accelerated wear and tear on the ratchet mechanism, reducing drivetrain reliability during Kansas ElectroRally competitions. Preliminary testing showed that slower, gradual acceleration prevented malfunction and allowed the vehicle to maintain top speed reliably. Prior research shows that torque-control strategies strongly influence electric-drive performance. Current research focuses on optimizing the controller’s torque and speed using the Alltrax Software ToolKit to reduce drivetrain tension while preserving the car’s performance capabilities.

Romance Scam Reporting And Support: Help-Seeking Timing, Trust, And Escalation, Ld Herrera

Research & Publications

Built on social engineering and identity deception, romance scams often create financial loss and distress. For victims, it can be difficult to know where to go, what information is needed, and what outcomes are realistic. This paper reports results from an anonymous survey of people who were targeted by or experienced a romance scam (completed surveys: n=386), focusing on (1) when and whether victims first reach out for help, (2) perceived difficulty and confidence in navigating support, (3) how trust relates to expectations of assistance, and (4) how loss severity relates to transfer-method complexity. When help was sought, it was …

A 4-Dimensional Rubik’S Cube You Can Hold: How It’S Possible And The Math Behind It, Eric J. Moon

SACAD: Scholarly Activities

This poster examines the physical 2x2x2x2, a hand-held realization of a 4-dimensional Rubik’s Cube invented by Melinda Green. Unlike most higher-dimensional twisty puzzles, which exist only as software simulations, this puzzle provides a physical model for exploring 4-dimensional rotation, symmetry, and solving methods. The poster introduces the structure of the puzzle, its canonical move system, and several algebraic ideas that help explain how scrambling and solving work.

From a mathematical perspective, the puzzle can be studied using group actions, commutators, conjugation, and combinatorial counting. In particular, the number of reachable states depends on corner permutations, corner orientations, parity restrictions, twist …

Ski Industry Professionals In New Hampshire Are Worried About Climate Change, Jacklyn Tracy, Elizabeth Burakowski

Carsey Publications

In this brief, authors Jacklyn Tracy and Elizabeth Burakowski report the results of an online survey conducted in June 2025 with New Hampshire ski industry professionals to gain insight into how they perceive climate change. Understanding the perspectives on climate change is an important first step in working to preserve a vital industry to the state as temperatures rise and winters shorten. The results of the survey revealed that the majority of New Hampshire ski industry professionals are concerned about the effects of global warming on the ski industry in the state and believe more should be done to address …

Long-Term Assessment Of Cattail (Typha Spp.) Dynamics And Wetland Restoration In The Everglades Using Object-Based Landsat Time Series And Markov Modeling, Gideon Tandoh, Stephen Yankyera, Michael Sean Chenoweth

Research, Publications & Creative Work

Assessing long-term vegetation response to restoration requires spatially consistent monitoring approaches that capture both observed change and likely future trajectories. In the Florida Everglades, nutrient enrichment contributed to the expansion of cattail (Typha spp.) within Water Conservation Area 3A (WCA-3A), raising concerns about restoration effectiveness. This study integrates a multi-temporal Landsat time series (2004–2024), object-based image analysis (OBIA), support vector machine (SVM) classification, and Markov transition modeling to quantify and project vegetation change in WCA-3A. Object-based segmentation reduced classification fragmentation in heterogeneous marsh landscapes, while SVM improved separation among spectrally similar vegetation classes. Classification accuracies remained consistently high across sensors …

Circuits And Enumeration Problems For Matroids, Christine H. Cho

LSU Doctoral Dissertations

This dissertation is a collection of work concerning the structure and enumeration of circuits and other distinguished sets in a matroid. The Tutte polynomial, recognized as the universal deletion-contraction invariant in matroid and graph theory, is a natural starting point when considering enumeration problems for matroids. The main result in Chapter 2 generalizes a theorem of Dean Lucas concerning the Tutte polynomial and its behavior under rank-preserving weak maps. This generalization provides an avenue for comparing the numbers of circuits, bases, rank-k flats, and hyperplanes of a matroid containing an element given two distinct, yet related, elements.

Chapter 3 addresses …

2024 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Analysis Of The Effects Of Magnetic Field, Heat Transfer, And Thermal Radiation On Blood Flow Through Bifurcated Artery To Enhance Tumor Treatments, Abdullahi Isah, Dauda Gulibur Yakubu, Ali Musa

Tanzania Journal of Science

The work presents the effects of some pertinent parameters on blood flow through bifurcated artery to enhance tumor treatments. Combining appropriately the basic equations, together with the fractionalized Maxwell fluid model allow us to determine the velocity, temperature and concentration of blood flow through bifurcated artery. The study adopted the Atangana-Baleanu fractional time derivative on fluid model to describe the non-Newtonian behavior of blood flow. The numerical simulations were performed using the combined Laplace transform and the method of undetermined coefficients and the results obtained with the aid of Mathcad software were simulated and presented graphically. From the graphical results, …

2022 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2023 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2024 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2023 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2023 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2022 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

2024 Bpsou Stormwater Evaluation And Maintenance Report Annual Stormwater Report For Bpsou Stormwater Structures, Butte-Silver Bow Department Of Reclamation And Environmental Services

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

At-Home Computational And Data Literacy For Pre-K–5 Students: A Review Of The Literature, Marc Sager, Sarah Miller, Zarek Drozda

Journal of Educational Research and Practice

This systematic review investigates best practices for promoting data literacy development in pre-K–5 learners, with a specific focus on caregiver involvement in at-home learning environments. A comprehensive search and screening process identified 42 studies for inclusion. The studies were analyzed to determine effective strategies for fostering early data literacy. Key findings emphasize (1) early, developmentally appropriate engagement with attention to equity; (2) core learning outcomes in computational and data literacy; (3) learning approaches integrating real-world contexts and hands-on experiences; (4) balanced use of digital tools and unplugged activities; and (5) essential parental and caregiver involvement. The review highlights integrating data …

Complex Systems Mapping Of Fiscal Growth Dynamics At Strategic Maritime Chokepoints Using Time-Series Slopes, Rahul Balamurugan, Preethi Nanjundan, Avichal Sharma

Northeast Journal of Complex Systems (NEJCS)

This study examines how maritime and trading states allocate public resources between defence, health, and economic growth around three strategic chokepoints the Strait of Malacca, the Strait of Hormuz, and the Suez Canal. The analysis extends the classic “guns versus butter” framing by treating defence and health spending as co-evolving components of an interconnected fiscal-growth system. Using World Development Indicators data (1999-2024), trend slopes are estimated for military spending (% of GDP), healthcare spending (% of GDP), and GDP growth (annual %). Two derived indicators are computed, a defence-to-health slope ratio (military slope/health slope) and a fiscal-balance proxy (health slope …

Arum–D Nexus: Adaptive Reflexive Urban Metabolism For Complex Construction And Demolition Waste Governance In Bengaluru, Talat Naaz, Rosewine Joy

Northeast Journal of Complex Systems (NEJCS)

Urban material systems exhibit nonlinear dynamics governed by feedback, adaptation, and emergent coupling among institutions, markets, and behaviors. Construction and demolition (C&D) waste in Bengaluru is a great example of such complexity, where fragmented regulation, informal actors, and digital asymmetries coalesce into unstable waste flows and resource leakages. This study conceptualizes Bengaluru’s C&D waste system as a Complex Adaptive System (CAS), where institutional, market, behavioral, and metabolic subsystems co-evolve through nonlinear feedback interactions. A meta-analysis of secondary literature combined with benchmarking of government datasets is used to evaluate two key complexity indicators, i.e., response speed and feedback density. The advancement …

Artificial Intelligence Assisted Evaluation Of Fungicide Efficacy In Acorn Squash, Olivia Grace Daniels

ASPIRE 2026

Powdery Mildew is a common fungus that infects a multitude of plants. This project will be working with Podosphaera Xanthii, the fungal pathogen that causes powdery mildew in cucurbits. Cucurbitaceae is a plant family that includes squash, pumpkins, melons and watermelons. Powdery mildew ends up significantly reducing the plants yield and infection causes an economic loss for growers which poses a great threat to the farmer’s lively hood. Powdery mildew is also extremely contagious and spreads rapidly to nearby plants. It can be absolutely decimating to populations. So there has been a push to find methods to control the spread …

Ai Exposure And The Future Of Work: Tasks, Skill Demand, And Education, Erik Vasilauskas, Michael Horrigan

External Papers and Reports

No abstract provided.

Organic Photocatalysts For Desulfurization Of Fuels, A K M Maksudul Hasan

Master's Theses (2009 -)

Desulfurization of fuels is a critical process for reducing sulfur contents in petroleum-based fuels to mitigate environmental pollution and meet the regulatory standards. Among various pollutants, Sulfur is the deadliest as inhaling leads to coughing, shortness of breath, sinus problem as well as the death of brain cells. Petroleum has a number of organosulfur derivatives, for example in crude oil (0.1 to 6wt% sulfur), which should be removed before using in combustion engines and other applications. High sulfur containing petroleum products used in engines and power plants would lead to the formation of sulfurdioxide (SO2) which would contribute to the …

Instructors' Lived Experiences Of Using Authentic Assessments In College Calculus Courses Across The United States: A Phenomenological Study, Christy Hart Kains

Doctoral Dissertations and Projects

The purpose of this transcendental phenomenological study was to describe the lived experiences of instructors with authentic assessments in college calculus courses across the United States. The theory guiding this study was Astin’s student involvement theory, which provided a framework to study the involvement of students in higher education. The central research question for this study was: What are the lived experiences of instructors who utilize authentic assessments in college calculus courses across the United States? This study used a qualitative design following the transcendental phenomenological approach of Moustakas. The sample included 12 instructors from two-year and four-year colleges in …