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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
An Examination Of The Strengths And Weaknesses Of Newton's Method For Nonlinear Optimization, Renita Demalade
An Examination Of The Strengths And Weaknesses Of Newton's Method For Nonlinear Optimization, Renita Demalade
Masters Theses & Specialist Projects
This thesis begins with the history of operations research and introduces two of its major branches, linear and nonlinear optimization. While other methods are mentioned, the focus is on analytical methods used to solve nonlinear optimization problems. We briefly look at some of the most effective constrained methods for nonlinear optimization and then show how unconstrained methods often play a role in developing effective constrained optimization algorithms. In particular we examine Newton and steepest descent methods, focusing primarily on Newton/quasi-Newton methods. Because Newton's method is primarily viewed as a root-finding method, we start with the basic root-finding algorithm for single …
Mathematical Modeling Of Convective Heat Transfer In Mammoth Cave, Jonathan Jernigan
Mathematical Modeling Of Convective Heat Transfer In Mammoth Cave, Jonathan Jernigan
Masters Theses & Specialist Projects
Around two centuries ago, changes were made to the entrances of Mammoth Cave and its passages. Today the Historic Entrance to Mammoth Cave is enlarged and the passage just beyond the entrance known as Houchins' Narrows has been cleared of rubble and filled with sediments. These enlargements have resulted in an increase in airflow throughout the Historic Section of the cave causing environmental conditions such as air temperature and airflow to fluctuate. These fluctuations have negatively impacted inhabitants and contents of the cave system. To restore natural conditions within the cave, Science and Resource Management personnel at Mammoth Cave National …
Ua66/10/2 Alumni Newsletter, Wku Mathematics
Ua66/10/2 Alumni Newsletter, Wku Mathematics
WKU Archives Records
Alumni newsletter created by and about the WKU Mathematics department.