A Semi-Analytic Diagonalization FEM for the Spectral Fractional Laplacian
Abner J. Salgado and Shane E. Sawyer. (2024). "A Semi-Analytic Diagonalization FEM for the Spectral Fractional Laplacian " Submitted.
CV
Education
- Ph.D in Mathematics, University of Tennessee, Knoxville, 2024
- M.S. in Engineering, University of Tennessee at Chattanooga, 2012
- B.S. in Applied Mathematics, University of Tennessee at Chattanooga, 2006
Work experience
- August 2024 - May 2025: Term Lecturer
- University of Tennessee, Knoxville: Mathematics Department
- I was an instructor of record for an introductory statistics course.
- August 2023 - July 2024: Graduate Research Assistant
- University of Tennessee, Knoxville: Mathematics Department
- My final year of doctoral research was funded by my advisor through an NSF grant.
- August 2020 - July 2023: Graduate Teaching Assistant
- University of Tennessee, Knoxville: Mathematics Department
- I was an instructor for several freshmen-level mathematics courses including College Algebra, Basic Calculus, and Statistical Reasoning.
- August 2019 - July 2020: Graduate Research Assistant
- University of Tennessee, Knoxville: Mathematics Department
- I worked with an ORNL researcher with joint appointment to UT to explore the intersection of mathematics and machine learning.
- October 2016 - July 2019: Graduate Research Assistant
- Joint Institute for Computational Sciences
- I assisted in continuing research efforts including NCBI BLAST acceleration and parallelization on emerging architectures. I worked to optimize scientific workflows including bioinformatics pipelines and Alzheimer’s diagnostics. I benchmarked new CPUs (Intel Skylake and AMD Epyc) for floating point and memory bandwidth performance.
- December 2013 - February 2016: Research Associate
- Joint Institute for Computational Sciences
- I worked to develop a new parallel implementation of NCBI BLAST through an Intel Parallel Computing Center grant. I prepared benchmarking results and quarterly reports for the grant stakeholders. I also assisted users on the HPC cluster and benchmarked scientific software.
Skills
- Scientific Programming
- Languages: Fortran, C, C++, Python
- Parallel Programming: OpenMP, MPI, CUDA
- Libraries: BLAS, Lapack, PETSc, GSL, deal.ii, numpy, scipy, matplotlib, pandas, PyTorch
- Debugging: gdb, valgrind, DDT, TotalView
- HPC: Slurm, PBS, environment modules, shell scripting
- Productivity: git, \( \LaTeX \), Microsoft Office, Google Workspaces
HPC-BLAST: Distributed BLAST for modern HPC clusters.
Shane Sawyer, Mitchel Horton, Chad Burdyshaw, Glenn Brook, and Bhanu Rekapalli. (2019). "HPC-BLAST: distributed BLAST for modern HPC clusters." Proceedings of 11th International Conference.
Computational Prediction of Forces and Moments for Transport Aircraft
Kidambi Sreenivas, Brent Mitchell, Shane Sawyer, Steve Karman, Stephen Nichols, and Daniel Hyams. (2007). "Computational Prediction of Forces and Moments for Transport Aircraft " 45th AIAA Aerospace Sciences Meeting and Exhibit Paper No. 2007-0681.
Computational Simulation of Heavy Trucks
Kidambi Sreenivas, D. Nichols, Daniel Hyams, Brent Mitchell, Shane Sawyer, Lafayette Taylor and David Whitfield. (2007). "Computational Simulation of Heavy Trucks " 45th AIAA Aerospace Sciences Meeting and Exhibit Paper No. 2007-0681.
Unstructured Grid Solutions of CAWAPI F-16XL by UT SimCenter
Steve L. Karman Jr., Brent Mitchell, Shane Sawyer, and Justin Whitt. (2007). "Unstructured Grid Solutions of CAWAPI F-16XL by UT SimCenter " 45th AIAA Aerospace Sciences Meeting and Exhibit Paper No. 2007-0681.
Dissertation Defense for PhD in Mathematics
Talk at University of Tennessee, Knoxville, Knoxville, TN, USA
A Semi-Analytic Diagonalization Tensor FEM for the Spectral Fractional Laplacian.
Talk at University of Notre Dame, Notre Dame, South Bend, IN, USA
A Computational Mathematician’s Guide to High Performance Computing
Talk at University of Tennessee, Knoxville, Knoxville, TN, USA
Thesis Defense for MS in Engineering
Talk at UT Simcenter, University of Tennessee at Chattanooga, Chattanooga, TN, USA