Published in Preprint, 2024
We take a rational approach to the nonlinear eigenvalue problem
Recommended citation: O. P. Bruno, M. A. Santana, L. N. Trefethen (2024). " Evaluation of Resonances via AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents " arXiv:2405.19582 .
Published in Journal of Algebra Combinatorics Discrete Structures and Applications, 2022
Study of cordial labeling of directed graphs
Recommended citation: Beasley L, Santana M, Mousley J, and Brown D. (2022). " Cordiality of Digraphs " Journal of Algebra Combinatorics Discrete Structures and Applications. Vol 10:1.
Published in SIURO, 2022
Devising an algorithm for Computed Tomography with unknown view angles and distance from the x-ray source to the object.
Recommended citation: Huynh M, Santana M. (2022). "Alternating Minimization for Computed Tomography with Unknown Geometry Parameters." SIURO. Vol 15:62-76.
Published in SIURO, 2021
A convergence analysis of a finite difference scheme for the 1-D Parabolic Optimal Transport Problem.
Recommended citation: Brauer A, Krawick M, and Santana M. (2021). "Numerical Analysis of the 1-D Parabolic Optimal Transport Problem." SIAM SIURO. Vol 14:150-166.
* indicates work completed as an undergraduate.