1-5 of 5 results
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Discontinuity-driven mesh adaptation method for hyperbolic conservation laws
PI Mihhail Berezovski
The proposed project is aimed at developing a highly accurate, efficient, and robust one-dimensional adaptive-mesh computational method for simulation of the propagation of discontinuities in solids. The principal part of this research is focused on the development of a new mesh adaptation technique and an accurate discontinuity tracking algorithm that will enhance the accuracy and efficiency of computations. The main idea is to combine the flexibility afforded by a dynamically moving mesh with the increased accuracy and efficiency of a discontinuity tracking algorithm, while preserving the stability of the scheme.
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Comparison of Grades Based on Learning Mode: How Learning Environment Impacts Grades
PI John Griffith
CO-I Donna Roberts
CO-I Beverly Wood
A comparison of failure rates and grade distribution will be conducted between four learning disciplines utilized by Embry-Riddle Aeronautical University-Worldwide: Eagle Vision Classroom (synchronous classroom to classroom), Eagle Vision Home (synchronous home to home), Online and traditional classroom learning environments. Researchers will examine approximately 20,000 Embry-Riddle end-of-course student grades from the 2015-2016 academic year. The study will determine if significant relationships between failing grades and learning environment (modes) exist between the English, Humanities, Economics and Mathematics disciplines. Due to the continued technological advancements in course delivery, recommendations from previous studies in this area include continued research on the relationship of student performance and learning mode.
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Collaborative Research: Wideband Multi-Beam Antenna Arrays: Low-Complexity Algorithms and Analog-CMOS Implementations
PI Sirani Mututhanthrige Perera
PI Arjuna Habarakada Madanayake
PI Soumyajit Mandal
Explosion of millimeter-wave (mm-wave) bandwidth opens up applications in 5G wireless systems spanning communications, localization, imaging, and radar. This project addresses challenges in mathematics, engineering, and science in developing efficient wideband beamformers based on sparse factorizations of the matrix called-delay Vandermonde matrices (DVM). The proposed highly integrated approach is attractive for mobile applications including 5G smart devices, the internet of things, mobile robotics, unmanned aerial vehicles, and other emerging applications focused on mm-waves.
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Matrix Analysis and Operator Theory
PI Edward Poon
Matrices and operators are ubiquitous throughout science, engineering, and mathematics; they are the transformations that arise whenever one studies a linear system (or approximates a nonlinear system by a linear one). Examples include rotations and reflections (rigid motions of space), spin operators (quantum mechanics and quantum computing), stress tensors (mechanics), regression and curve fitting (statistics and data analysis), derivatives and linear differential operators (dynamical systems), to name just a few. By studying various properties, relations, and transformations of matrices and operators one may obtain insight into a wide range of phenomena.
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Simulation Based Inquiry Oriented Linear Algebra
CO-I Ashish Amresh
Games that teach introductory concepts in linear algebra such as vectors, span and dependence are created to be used by instructors in an undergraduate class.
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1-5 of 5 results