Dr. Jonah A. Reeger, Ph.D.
Education
PhD in Applied Mathematics, University of Colorado at Boulder, 2013
MA in Computational and Applied Mathematics, Rice University, 2009
BS in Mathematical Sciences, United States Air Force Academy, 2007
Publications
Journal Articles
J. A. Reeger. "Adaptivity in local kernel based methods for approximating the action of linear operators." Accepted by Siam J Sci Comput.
J. A. Reeger. “Approximate integrals over bounded volumes with smooth boundaries.” Journal of Computational Physics. Vol. 488, 2023
B. F. Akers, S. T. Fiorino, and J. A. Reeger. “Thermal blooming with laser induced convection: Radial Basis Function Simulation.” Applied Optics. Vol. 62 (23), 2023. G77-G84.
J. Glaubitz and J. A. Reeger. “Towards stability results for global Radial Basis Function based quadrature formulas.” Bit Numer Math. Vol. 63 (9), 2023. doi: 10.1007/s10543-023-00956-0
B. Akers, T. Liu and J. Reeger. “A Radial Basis Function Finite Difference Scheme for the Benjamin-Ono Equation”. Mathematics. Vol. 9 (1), 2021. doi: 10.3390/math9010065.
J. A. Reeger. “Approximate integrals over the volume of the ball.” J. Sci. Comput. Vol. 83 (45), 2020.
B. F. Akers, J. Gustafsson, J. A. Reeger and S. S. Sritharan. “Atmospheric propagation of high energy lasers: thermal blooming simulation.” Engineering Mathematics Letters. Vol. 2019. Article ID 7, 2019.
B. F. Akers and J. A. Reeger. “Numerical simulation of thermal blooming with laser-induced convection.” J. Electromagnet. Wave, 33 (1): 96–106, 2019.
B. Fornberg and J. A. Reeger. “An improved Gregory-like method for 1-D quadrature”. Numer. Math., 141 (1): 1–19, 2019.
J. A. Reeger and B. Fornberg. “Numerical quadrature over smooth surfaces with boundaries.” J. Comput. Phys., 355: 176–190, 2018.
N. Smith, C. Arendt, R. Cobb, and J. A. Reeger. “Implementing Conditional Inequality Constraints for Optimal Collision Avoidance.” J Aeronaut Aerospace Eng., 6 (195). doi: 10.4172/2168-9792.1000195
B. F. Akers and J. A. Reeger. “Three-dimensional overturned traveling waves.” Wave Motion, 68: 210–217, 2017.
J. A. Reeger, B. Fornberg, and M. L. Watts. “Numerical quadrature over smooth, closed surfaces.” P. Roy. Soc. Lon. A Mat, 2016. doi: 10.1098/rspa.2016.0401.
C. J. Humphreys, R. G. Cobb, D. Jacques, and J. A. Reeger. “A Hybrid Technique to Rapidly Solve the Intermediate-Target Optimal Control Problem.” Global J. Tech. Optim., 7(2): 1–8, 2016. doi: 10.4172/2229- 8711.1000200.
J. A. Reeger and B. Fornberg. “Numerical quadrature over the surface of a sphere.” Stud. Appl. Math., 137(2): 174–188, 2016.
M. Ghrist, B. Fornberg, and J. A. Reeger. “Stability ordinates of Adams predictor-corrector methods.” BIT Numerical Mathematics, 55(3):733–750, 2015.
J. A. Reeger and B. Fornberg. “Painlev´e IV: A numerical study of the fundamental domain and beyond.” Physica D, 280-281: 113, 2014.
J. A. Reeger and B. Fornberg. “Painlev´e IV with both parameters zero: A numerical study.” Stud. Appl. Math., 130(2):108-133, 2013.
Refereed Conference Papers
C. J. Humphreys, R. G. Cobb, D. R. Jacques, and J. A. Reeger. “Dynamic Re-Plan of the Loyal Wingman Optimal Control Problem.” AIAA Guidance, Navigation, and Control Conference, AIAA Science and Technology Forum and Exposition 2017. GNC-28, Aerospace Robotics Guidance and Navigation. Grapevine, Texas. January 12, 2017. (Accepted based on review of extended abstract/draft manuscript.)
C. J. Humphreys, R. G. Cobb, D. R. Jacques, and J. A. Reeger. “Dynamic Re-Plan of the Loyal Wingman Optimal Control Problem in a Changing Mission Environment.” The AIAA SciTech Forum and Exhibition 2016. San Diego, CA. 4-8 January 2016. (Accepted based on review of extended abstract/draft manuscript.)
C. J. Humphreys, R. G. Cobb, K. Kauffman, and J. A. Reeger. “Optimal Mission Path for the Uninhabited Loyal Wingman.” The 16th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Aviation Forum 2015. Dallas, TX. 22-26 June 2015. (Accepted based on review of extended abstract/draft manuscript.)
Publication Files
- Stability ordinates of Adams predictor-corrector methods
- A Hybrid Technique to Rapidly Solve the Intermediate-Target Optimal Control Problem
- Atmospheric Propagation of High Energy Lasers: Thermal Blooming Simulation
- Approximate integrals over the volume of the ball
- Numerical quadrature over smooth surfaces with boundaries
- Approximate Integrals Over Bounded Volumes with Smooth Boundaries
- Numerical quadrature over smooth, closed surfaces
- Numerical simulation of thermal blooming with laser-induced convection
- An improved Gregory-like method for 1-D quadrature
- Implementing Conditional Inequality Constraints for Optimal Collision Avoidance
- Thermal blooming with laser induced convection: Radial Basis Function Simulation
- Three-dimensional overturned traveling waves
- Painlev´e IV with both parameters zero: A numerical study
- Painlev´e IV: A numerical study of the fundamental domain and beyond
- Towards stability results for global Radial Basis Function based quadrature formulas
- Numerical quadrature over the surface of a sphere
- A Radial Basis Function Finite Difference Scheme for the Benjamin— Ono Equation
- Local Adaptive Kernel Based Methods for Approximating the Action of Linear Operators