6 citations · 8 across the 5 of their papers we have counts for
5 papers
Structure-Preserving Neural Ordinary Differential Equations for Stiff Systems
Allen Alvarez Loya, Daniel A. Serino, J. W. Burby +1
Neural ordinary differential equations (NODEs) are an effective approach for data-driven modeling of dynamical systems arising from simulations and experiments. One of the major sh…
High Order Accurate Hermite Schemes on Curvilinear Grids with Compatibility Boundary Conditions
Allen Alvarez Loya, Daniel Appelö, William D. Henshaw
High order accurate Hermite methods for the wave equation on curvilinear domains are presented. Boundaries are treated using centered compatibility conditions rather than more stan…
Fast-Slow Neural Networks for Learning Singularly Perturbed Dynamical Systems
Daniel A. Serino, Allen Alvarez Loya, Joshua W. Burby +2
Singularly perturbed dynamical systems play a crucial role in climate dynamics and plasma physics. A powerful and well-known tool to address these systems is the Fenichel normal fo…
El-WaveHoltz: A Time-Domain Iterative Solver for Time-Harmonic Elastic Waves
Daniel Appelö, Fortino Garcia, Allen Alvarez Loya +1
We consider the application of the WaveHoltz iteration to time-harmonic elastic wave equations with energy conserving boundary conditions. The original WaveHoltz iteration for acou…
Spectral asymptotics for Kac-Murdock-Szegő matrices
Alain Bourget, Allen Alvarez Loya, Tyler McMillen
Szegő's First Limit Theorem provides the limiting statistical distribution (LSD) of the eigenvalues of large Toeplitz matrices. Szegő's Second (or Strong) Limit Theorem for Toeplit…