--2010, Air War College, by correspondence
--2008, PhD (Applied Mathematics), Naval Postgraduate School, Monterey, CA. Dissertation title: "High-Order Non-Reflecting Boundary Conditions for the Linearized Euler Equations." Dissertation advisors: Dr. Beny Neta and Dr. Francis X. Giraldo
--2004, Air Command and Staff College, by correspondence
--2000, Squadron Officer School, Maxwell AFB, AL
--1998, M.S. (Mathematics), Creighton University, Omaha, NE
--1993, B.S. (Computer Science), Baylor University, Waco, TX
Numerical partial differential equations
Non-reflecting boundary conditions
--Dea, J., "Improving the Performance of Higdon Non-Reflecting Boundary Conditions by Using Weighted Differencing,"Applied Numerical Mathematics 61 (2011), 1186-1197.
--Dea, J., "Higdon-type Non-Reflecting Boundary Conditions for First-Order Systems," Journal of Computational and Applied Mathematics 235 (2011),1354-1366.
--Dea, J., F.X. Giraldo, and B. Neta, “High-Order Non-Reflecting Boundary Conditions for the Linearized 2-D Euler Equations: No Mean Flow Case,” Wave Motion 46 (2009), 210-220.
--Neta, B., V. van Joolen, J. Dea, and D. Givoli, “Application of High-Order Higdon Non-Reflecting Boundary Conditions to Linear Shallow Water Models,” Communications in Numerical Methods in Engineering 24 (2008),1459-1466.
--Dea, J., F.X. Giraldo, and B. Neta, High-Order Higdon Non-Reflecting Boundary Conditions for the Linearized Euler Equations, NPS-MA-07-001, Naval Postgraduate School, Monterey, CA, 2007.