Office: |
Kirwan Hall (Math Building) Room 4307 |

E-mail: | kcooley[Insert any even prime number here]@math.umd.edu |

I am a PhD student in the Applied Mathematics, Statistics, and Scientific Computing (AMSC) program at the University of Maryland researching numerical methods for computational aerodynamics, specifically compact-reconstruction WENO schemes. I am advised by Dr. James Baeder.

My recent work has focused on spectral optimization of WENO-type schemes and finishing development of a Riemann-solver-free method for the Euler equations. Here is an example of that method applied to the Rayleigh-Taylor instability, in which the artificial dissipation of the method plays the role of physical viscosity.

I also maintain the Math 246 Exercise Environment.

- Novel methods for computational aerodynamics
- WENO methods and variants
- Software development for scientific computing
- Numerical analysis
- Fluid dynamics and turbulence

- Cooley, K., & Baeder, J. D. (2018). A Central Compact-Reconstruction WENO Method for Hyperbolic Conservation Laws. In 2018 AIAA Aerospace Sciences Meeting (p. 0067). Link

- A Central Compact-Reconstruction WENO Scheme for Hyperbolic Conservation Laws, at AIAA SciTech, Kissimmee, Florida, 1/8/2018
- Compact-Reconstruction WENO Methods on Non-Uniform Meshes, at the SIAM Conference on Computational Science and Engineering, Salt Lake City, 3/17/2015.

From August 2016 to June 2018 I organized the AMSC Student Seminar, a biweekly event where graduate students in applied mathematics present their research or any other mathematical topic they find interesting. Below are the talks that I myself have given.

- Compact Central WENO Schemes for Hyperbolic Problems at the AMSC Student Seminar, October 2017
- Central Schemes for Hyperbolic Problems at the AMSC Student Seminar, March 2017
- Finite-Difference Formulas with Operator Calculus at the AMSC Student Seminar, September 2016
- CRWENO Schemes on Small Stencils at the AMSC Student Seminar, December 2015
- Energy-Stable WENO Schemes at the Applied PDE RIT, November 2015

- Compact-Reconstruction WENO for Compressible Flows. My project for the department course sequence AMSC 663-664, in which I apply my non-uniform CRWENO scheme to solving the Euler equations of compressible flow in two dimensions.
- Differential Equations Online Exercise Environment In June of 2018 I assumed responsibility for maintaining this website designed to help differential equations students practice on exercises from the course text. This has required Python scripting to automate creation and backup of SQL databases from the LaTeX source.

- Math 246: Differential Equations, Spring 2018
- Math 141: Calculus II, Spring 2017
- Math 241: Calculus III, Fall 2016
- Math 141: Calculus II, Fall 2015
- Math 141: Calculus II, Spring 2015
- Math 246: Differential Equations, Fall 2014
- Math 241: Calculus III, Spring 2014
- Math 246: Differential Equations for Scientists and Engineers, Fall 2013