El-WaveHoltz: A Time-Domain Iterative Solver for Time-Harmonic Elastic Waves. - Daniel Appelö; Fortino Garcia; Allen Alvarez Loya; Olof Runborg (CoRR, 2022)

A Hermite Method with a Discontinuity Sensor for Hamilton-Jacobi Equations. - Allen Alvarez Loya; Daniel Appelö (J. Sci. Comput., 2022)

High order accurate Hermite schemes on curvilinear grids with compatibility boundary conditions. - Allen Alvarez Loya; Daniel Appelö; William D. Henshaw (J. Comput. Phys., 2025)

Fast-slow neural networks for learning singularly perturbed dynamical systems. - Daniel A. Serino; Allen Alvarez Loya; J. W. Burby; Ioannis G. Kevrekidis; Qi Tang 001 (J. Comput. Phys., 2025)

Structure-Preserving Neural Ordinary Differential Equations for Stiff Systems. - Allen Alvarez Loya; Daniel A. Serino; Qi Tang 001 (CoRR, 2025)