Published in Preprint, 2025
Rational approximation + frequency-time hybrid methods = efficient and accurate evaluation of time domain scattering by trapping obstacles
Recommended citation: O. P. Bruno and M. A. Santana (2026). "Efficient Time-Domain Scattering Synthesis via Frequency-Domain Singularity Subtraction". Journal of Computational Physics, 115078. DOI: 10.1016/j.jcp.2026.115078.
Published in Preprint, 2024
We take a rational approach to the nonlinear eigenvalue problem
Recommended citation: O. P. Bruno, M. A. Santana, and L. N. Trefethen (2026). "Evaluation of Resonances: Adaptivity and AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents". SIAM Journal on Scientific Computing, 48(3), A1260–A1283. DOI: 10.1137/24M1690680.
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.