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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
Pages
About me
About me
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Posts
publications
Scheduling of Daily Flight Training for a United States Navy Strike Fighter Squadron Detachment.
Published in Military Operations Research, 2021
Recommended citation: Foraker, J., Lazzaro, G., Nelson, P., & Barkley, P. (2021). Scheduling of Daily Flight Training for a United States Navy Strike Fighter Squadron Detachment. Military Operations Research, 26(2), 5–24. https://www.jstor.org/stable/27028853
Optimal Design of Resolvent Splitting Algorithms.
Published in arXiv, 2024
Recommended citation: Barkley, P. & Bassett, R. L. (2024). Optimal Design of Resolvent Splitting Algorithms. https://arxiv.org/abs/2407.16159
Decentralized Sensor Network Localization using Matrix-Parametrized Proximal Splittings.
Published in arXiv, 2025
Recommended citation: Bassett, R. L., & Barkley, P. (2024). Decentralized Sensor Network Localization using Matrix-Parametrized Proximal Splittings. https://arxiv.org/abs/2503.134039
talks
Automating Flight Scheduling
Published:
I described an integer programming model for scheduling flight training.
Optimization via Adaptive Resolvent Splitting
Published:
I described a novel method for building splitting algorithms for convex optimization problems. The method is based on the proximal resolvent operator, and it allows for the construction of adaptive splitting algorithms that can be tuned to the problem at hand.
teaching
Differential Calculus
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2013
I taught three sections of Differential Calculus during my first semester as a mathematics instructor at the U.S. Naval Academy. I was responsible for all aspects of the course, including lectures, homework, quizzes, and exams. I also held office hours and provided individual tutoring to students.
Integral Calculus
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2014
I taught two sections of integral calculus to midshipmen at the U.S. Naval Academy. I was responsible for all aspects of the course, including lectures, homework, and exams.
Mathematical Modeling
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2014
I taught a section of upper level mathematical modeling. I was responsible for all aspects of the course, including lectures, homework, and exams.
Introduction to Cyber Security
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2014
I taught a section of introduction to cyber security to freshmen at the Naval Academy.
Multivariate Calculus
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2014
I taught two sections of Calculus III. I was responsible for all aspects of the course, including lectures, homework, and exams.
Linear Programming
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2015
I taught a [section of Linear Programming] (https://www.usna.edu/Users/math/dphillip/sa305.s15/barkley/). The course covered the simplex method, duality, and sensitivity analysis.
Differential Equations
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2015
I taught two sections of differential equations. I was responsible for all aspects of the course, including lectures, homework, and exams.
Discrete Math
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2015
I taught a section of discrete math to sophomores at the Naval Academy. I was responsible for all aspects of the course, including lectures, homework, and exams.
Decision Analysis
Undergraduate course, U.S. Naval Academy Department of Mathematics, 2016
I taught a section of upper level Decision Analysis. I was responsible for all aspects of the course, including lectures, homework, and exams.