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This volume convenes selected, peer-reviewed research and survey articles that address the modern state-of-the-art in varied areas of applied mathematical analysis. They were presented at the 1st Southern Georgia Mathematics Conference (SGMC) that was virtually held on April 2-3, 2021, at Georgia Southern University, Statesboro, USA. Papers in this volume incorporate both advanced theory and methods from mathematical analysis and cover myriad topics such as imaging and inverse problems, evolutionary PDEs, symbolic computation, dynamics and data analysis, data science, computational mathematics, and more. This second volume focuses on modeling, simulation and data analytical studies in the field of computational mathematics.
These studies and findings contained herein will be of interest to researchers and graduate students working in the fields of mathematical analysis, modeling, data analysis, and computation, with applications in many interdisciplinary applied sciences, including statistics, physics, biology, and medical imaging. They are particularly relevant to those at the forefront of applied mathematical and statistical analysis, as well as data science and other computational science disciplines.
In its first edition, the Southern Georgia Mathematics Conference brought together 74 speakers from 70 different institutions, including the USA, Canada, Austria, and Botswana. Attendees included faculty, researchers, experts, graduate, and undergraduate students from all over the world.
List of contents
An Extended Mathematical Model for Anterior-Posterior Patterning of Drosophila Wing Discs.- Identification of the Time-Dependent Proliferation Coefficient for a Brain Tumor Model.- Gene therapy bio-factory: Mathematical modeling of the human eye pharmacokinetics.- An age-structured model of COVID-19 analyzing the impact of vaccinations in the US.- The impact of continuous insecticide spraying on the spread of Chagas disease.- Transition probability density function for number of infected individuals in a population satisfying a stochastic SIS-epidemic.- Parameter estimation in a new Markov jump process compartmental model with non-measurable disease states.- The New Ristic-Balakrishnan-Topp-Leone-Marshall-Olkin-G Family of Distributions with Applications.- An Exact Expression for the Behrens-Fisher Distribution with Applications.- Process, Population, and Sample: the Researcher's Interest.- Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks.- Spline Approximation on Sparse Grids.- Shock Formation in Traffic Flow Models with Nonlocal Look Ahead and Behind Flux.- Existence and Non-existence of Ground State Solutions for Magnetic NLS.
