Prof. Dr. Jeremy Thompson

I teach undergraduate students and mentor graduate students in numerical and scientific computing. My software is quality focused - improving maintainability and documentation while expanding core functionality of our research software projects, including libCEED, Ratel and HONEE. This work includes research software innovation, such as our GPU matrix-free Material Point Method capability.

Architect for solid mechanics library with PETSc and libCEED - https://gitlab.com/micromorph/Ratel Lead developer for performance portable HPC library - https://github.com/CEED/libCEED Maintainer for fluid dynamics library with PETSc and libCEED - gitlab.com/phypid/HONEE

Development and research on the CEED grant. libCEED is a high-order API library, that provides a common algebraic low-level operator description, allowing a wide variety of applications to take advantage of the efficient operator evaluation algorithms in the different CEED packages from a single source.

Improved libCEED matrix-free operator preconditioning support for CUDA and MAGMA backends and libCEED + MFEM integration. Additionally, I developed a p-multigrid interface to automatically provide matrix-free prolongation, restriction, and coarse grid operators for any libCEED backends.

Develops in cadets the ability to formulate and solve problems which require mathematics, make valid decisions based on quantitative inputs, and comprehend and communicate technical information; provides role model to develop bearing, decorum, and dedication to duty; and instills an appreciation for mathematics. Courses Taught: Calculus I, Calculus II, Calculus III, Differential Equation, Discrete Mathematics, and Engineering Mathematics (systems of ODEs, PDEs, numerical methods, and vector calculus)

Research and implementation of local smoothing filters - Gaussian smoothing, Bilateral smoothing, wavelet thresholding and neighborhood filters - with methodology comparison for suitability in wind power generation prediction. Smoothing methods were implemented in Python.

Develops in cadets the ability to formulate and solve problems which require mathematics, make valid decisions based on quantitative inputs, and comprehend and communicate technical information; provides role model to develop bearing, decorum, and dedication to duty; and instills an appreciation for mathematics. Courses Taught: Calculus I, Calculus II, Calculus III, Differential Equation, Discrete Mathematics, and Engineering Mathematics (systems of ODEs, PDEs, numerical methods, and vector calculus)

Work with members of 49th Test and Evaluation Squadron to provide analysis in support of operational B-52 test programs, to include B-52H upgrades and Nuclear Weapon System Evaluation Program. Primary duties include Air Launched Cruise Missile, B-2A, B-52H, F-16CM, and F-15E reliability modeling and accuracy analysis for the US Strategic Command nuclear planning factors as well as analysis and reporting of Air Launched Cruise Missile Force Development Evaluations data analysis and reporting.

Verified Boeing reliability analysis of Wideband Global SATCOM in support of Multiservice Operational Test and Evaluation for acceptance of the system. Worked with members of Air Force Operational Test Center, Detachment 4 for drafting of test report for delivery to Air Force Space Command and United States Congress.

Thesis: Local Fourier Analysis of Domain Decomposition and Multigrid Methods for High-Order Matrix-Free Finite Elements