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Full-Text Articles in Physical Sciences and Mathematics
Classification Of Nuclear Pastas Through Alpha Shapes Model, Daniela Ramirez Chavez
Classification Of Nuclear Pastas Through Alpha Shapes Model, Daniela Ramirez Chavez
Open Access Theses & Dissertations
The nuclear pasta is important because is an astromaterial with incredible strength that may be a source for gravitational waves, which observe from the rotation of neutron stars. The characterization of the pasta is vital because the nuclear phases have transport properties - compressibility, neutrino opacity, thermal conductivity, and electrical conductivity - associated with their shape for which neutron stars may be sensitive. These properties could interpret observations of supernova neutrinos, magnetic field decay, and crust cooling of accreting neutron stars. Here, we study the nuclear pasta using alpha shapes to achieve a phase characterization with the Minkowski functionals (area, …
Time Series Classification With Multistage Modeling Using Deep Learning, James Arthur
Time Series Classification With Multistage Modeling Using Deep Learning, James Arthur
Open Access Theses & Dissertations
Time series classification (TSC) can be efficiently implemented with several techniques. Many techniques are based on analyzing 1-D signals in the time series data. In this work, we make an intrinsic analytical implementation of a new time series classification that involves a two-stage process. Firstly, by using Recurrence Plots (RP), we transform the time series into 2D images. The second stage consists in taking advantage of deep learn- ing models to perform our classification. The image illustration of time series introduces different feature types that are not available for all 1D signals, and therefore our classifi- cation problem is treated …
Mathematical Modeling Of Potassium Modulated Viral Infection, Zaira Elizabeth Mather
Mathematical Modeling Of Potassium Modulated Viral Infection, Zaira Elizabeth Mather
Open Access Theses & Dissertations
In recent years, there is a growing interest in the investigation of using potassium to treat virus infections. In the region of infection, there is a biological observation of extracel- lular potassium level being typically very low whereas the intracellular potassium levels are much higher. There are numerous biological studies showing that elevated potassium levels in the extracellular membrane tends to block virus infections. A recent effort in this direction is a collaborative research conducted by mathematicians and biologists from the University of Texas at El Paso, New Mexico State University, and the University of New Mexico, where we develop …
Numerical Study Of Cahn-Hilliard Equations, Oula Khouzam
Numerical Study Of Cahn-Hilliard Equations, Oula Khouzam
Open Access Theses & Dissertations
In this thesis we study the well-known first-order Eyre's convex splitting numerical scheme for solving the Cahn-Hilliard equation and theoretically prove and numerically demonstrate the key properties of the scheme namely: mass conservation, unique solvability and unconditional stability. While the convex splitting scheme has been around for over two decades, explicit proofs for these important properties for the fourth order Cahn-Hillard equation are not directly available in the existing literature. This thesis aims to bridge this gap by providing the complete proofs of the aforementioned key properties of the scheme and numerically demonstrating the performance of the scheme.