Digital Commons Network^™

Fast Computation And Model Order Reduction Of The Friction Stir Welding Process With Pod-Deim, Joshua Kay, Zilong Song

Mathematics and Statistics Student Research and Class Projects

Friction stir welding (FSW) is a solid-state manufacturing process widely used in joining aluminum and other metal workpieces. The FSW process can be modeled by a coupled system of non-Newtonian Navier–Stokes and heat-transfer equations. However, solving this non-linear system with high accuracy requires significant computational power. This work refines the system by introducing corrected coefficients and new treatments for boundary conditions near the tool. Then, model order reduction, including the Proper Orthogonal Decomposition (POD) and Discrete Empirical Interpolation Method (DEIM), is applied to efficiently solve the FSW system in a low-dimensional space. To enhance accuracy and effectiveness, two novel treatments …

Re: Approval Letter For The Draft Final Butte Priority Soils Operable Unit Insufficiently Reclaimed Sites Temporary Best Management Practices Work Plan: Bres No. 16 – Curry And Bres No. 50 – Zelia, Molly Roby

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Fastest-Warming States And Cities In The Mountain West, 2025, Maisoon Faris, Kahlen Coss, Kevin Yang, Caitlin J. Saladino, William E. Brown Jr.

Environment

This fact sheet presents data published by Climate Central on the change in average annual temperatures for the five Mountain West states of Arizona, Colorado, Nevada, New Mexico, and Utah and 15 Mountain West cities from 1970 to 2025. City-level data are derived from Applied Climate Information System (ACIS) operated by National Oceanic and Atmospheric Administration (NOAA), state-level data are derived from NOAA’s National Centers for Environmental Information (NCEI).

Approval Letter For The Butte Priority Soils Operable Unit Field Sampling Plan And Investigation Plan: Ur-41 - Montana Street And Interstate-90, Molly Roby

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Studying Electromagnetic Wave Scattering From Small Dielectric Particles Using Neural Networks, Bryan Taylan, Patrick Corzo, Chris Velissaris, Theodoros Panagiotakopoulos

Undergraduate Scholarship and Creative Works

Physics-informed neural networks solve the Helmholtz equation without labeled data, but a low residual alone does not confirm that a solution preserves the physical distinction a downstream task depends on. We trained a four-layer SIREN with physics-based residuals, a Sommerfeld condition, Adam, and L-BFGS, modeling a Gaussian source and a plane wave scattering from a small dielectric inclusion. Fine-tuning from four base models produced 600 complex fields spanning omega = 4 to 20. A compact CNN, three ResNet-18 variants, and a frozen OpenCLIP encoder classified these fields under five random seeds. The CNN achieved (95.65 +/- 0.77)% accuracy, outperforming OpenCLIP …

Fast Discovery Of Motivic Patterns In Symbolic Music Via Lossy Compression, Adam James Wilson

Publications and Research

Generative systems that react to live musicians require rapid analysis of musical data, which rules out deep learning models: they cannot be trained within the time constraints of live performance. But because analysis results are often transformed before use, we are free to reduce the parameters that undergo transformation to a small set of primitive states. We address this coincidence of constraint and opportunity with an algorithm for online discovery of maximal musical motives that achieves speed through lossy compression: the pitch and inter-onset-interval deltas for all pairs of events in a potential motive are reduced to two-bit values, conceptualized …

2026 September 3 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Weekly Drought Summaries

No abstract provided.

Microwave Thermal Pre-Treatment To Improve Nickel Extraction From Lateritic Ore, Johana Borda, Daniel Sosa, Robinson Torres

Journal of Sustainable Mining

Two heat treatment processes for a nickeliferous laterite sample are presented, one by the conventional muffle route and the other by microwave. The heating was carried out in order to improve the dissolution of nickel in an acid medium. The study describes the changes observed in the mineral for the increase in temperature as a consequence of radiation in the microwave and in the muffle. The changes in the mineral crystalline phases were analyzed by X-ray diffraction. The leaching media consisted of a 1 M sulfuric acid solution at ambient conditions for 7 h. The interaction between the reagent and …

On The Existence, Uniqueness And Stability Of Solutions Of Sdes With State-Dependent Variable Exponent, Mustafa Avci

Journal of Stochastic Analysis

We study a time-inhomogeneous nonlinear SDE with drift and diffusion governed by state-dependent variable exponents. This framework generalizes models like the geometric Brownian motion (GBM) and the constant elasticity of variance (CEV), offering flexibility to capture complex dynamics while posing analytical challenges. Using a fixed-point approach, we prove existence and uniqueness, analyze higher-order moments, derive asymptotic estimates, and assess stability. Finally, we illustrate an application where Poisson’s equation admits a probabilistic representation via a timehomogeneous nonlinear SDE with state-dependent variable exponents.

Companion Matrices Associated To Stochastic Matrices, Andreas Boukas, Philip Feinsilver

Journal of Stochastic Analysis

Starting with a stochastic matrix, we study the behavior of powers of an associated companion matrix, which has the same characteristic polynomial as the original matrix. In general the companion matrix will have negative entries while maintaining rowsums equal to 1. We will find the growth rate even if the Ces`aro limit of the sums of the companion matrix diverge. Surprisingly, in the irreducible aperiodic case the powers of the companion matrix will converge even though the norm of the matrix exceeds 1 and it has possibly negative entries.

Z+-Valued Additive Processes In Law With Nonnegative Increments, Nadjib Bouzar

Journal of Stochastic Analysis

The goal of this article is to study in depth the subclass of Z+- valued additive processes in law with nonnegative increments. We establish key distributional properties of these processes and obtain some existence results under a variety of conditions. We show that they form a subclass of the family of inhomogeneous Markov chains with spatial homogeneity. We extend the notion of factoring introduced by Sato (2004, [9]) for Rd-valued additive processes in law to their Z+-valued counterparts with nonnegative increments. We give a sufficient condition for the existence of a factoring for these processes. Lastly, we obtain their representation …

Motivating Second-Order Differential Equation Models Beyond The Spring–Mass System, Katherine E. Rutherford, John C. Borger

CODEE Journal

Students in introductory differential equations courses often learn to associate specific equation types with familiar physical systems. While this approach supports procedural fluency, it can inhibit transfer learning: students recognize familiar forms rather than construct models from first principles. This paper presents a modeling-first instructional approach designed to help students recognize the shared structure of second-order differential equations across diverse contexts. Students derive governing equations from fundamental physical laws for multiple systems, including an Inductor, Resistor, and Capacitor (LRC) electrical circuit, a simple pendulum, and viscous pipe flow. Through guided comparison, students identify common components such as inertia, damping, restoring …

Chemistry In The City Module, Ji Kim

Open Educational Resources

This project integrates a historical environmental health report from the CUNY Digital History Archive into an online Introductory Chemistry course to connect core chemical concepts with real urban pollution issues. Students analyze perchloroethylene contamination in apartments above dry cleaners, apply concepts such as volatility, vapor pressure, and concentration units, and reflect on chemical principles underlying indoor air pollution.

Chemistry In The City Module, Ji Kim

Open Educational Resources

This project integrates a historical environmental health report from the CUNY Digital History Archive into an online Introductory Chemistry course to connect core chemical concepts with real urban pollution issues. Students analyze perchloroethylene contamination in apartments above dry cleaners, apply concepts such as volatility, vapor pressure, and concentration units, and reflect on chemical principles underlying indoor air pollution.

"Our Heritage From The People", William Lindsey Mcdonald

Writings

A lecture presented to a history seminar at the University of North Alabama in March of 1979. The lecture addresses the geography and geology of North Alabama, removal of indigenous people, cultural influence of settlers, and development of the Tennessee Valley into contemporary settlements.

The Colorado River Water Supply Crisis In A Few Graphs: Part 2 Agricultural Water Use In The Lower Basin, Jack Schmidt, Anne Castle, Eric Kuhn, Kathryn Sorensen, Katherine Tara

The Traveling Wilburys of the Colorado River

Reductions in Lower Basin water use during the last four years, including

forecast use in 2026, are similar to the initial targets for Lower Basin shortages

described in the Final Environmental Impact Statement for Post-2026

Operational Guidelines and Strategies for Lake Powell and Lake Mead (FEIS)

and the accompanying Record of Decision (ROD).

6 Lower Basin consumptive

use in 2023, 2024, and 2025, and forecast for 2026 has been the smallest for

the entire 2010-2026 period. These four years of smallest use are between 1.4

and 1.7 million acre feet/year (maf/yr) less than the 7.50 maf/yr amount

generally recognized as …

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 129 – Heaney Dump, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 75 – National Dump, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 105 – Lizzie Shaft, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 171 – Blaine Center, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 160s – Syndicate Pit Dumps, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 180 – Tullamore Dumps, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 68 – Little Mina-2, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No 135 – Washoe Sampling Works, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 57 – Little Mina-1, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 11 – Magna Charta Lessee Dumps, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Re: Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 9 – Clark Street Dump, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Re: Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 46 – Missoula Mine, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 1503 – Hornet Addition, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Geographical Pattern Analysis Of Gis Images With Deep Learning And Voronoi Network, Nidaa Kareem, Tawfiq A. Al-Assadi

Journal of Intelligent Informatics, Networking, and Cybersecurity

Localization is not enough for the analysis of spatial patterns; a principled geometric and statistical framework is required. This paper proposes an integrated spatial intelligence system combining deep learning, computational geometry, and spatial statistics, which is a unified and interpretable system. It is based on segmentation localization that accurately localizes the centroid of each object without the disadvantages of the bounding box. These centroids form a natural Voronoi tessellation of regions of spatial influence intrinsic to the data instead of imposing any artificial restrictions. A geometry-based density formulation is used to improve representation, which includes Voronoi cell areas and neighborhood …