2 papers
math.NA2026
Neural Architectures as Functional Priors in Physics-Informed Control Problems
Sonia Rubio Herranz, Fernando Carlos López Hernández, Antonio López Montes
In this work we investigate the role of neural architectures as implicit functional priors in control problems governed by ordinary differential equations. Rather than focusing on…
math.NA2026
A Unified Benchmark of Physics-Informed Neural Networks and Kolmogorov-Arnold Networks for Ordinary and Partial Differential Equations
Salvador K. Dzimah, Sonia Rubio Herranz, Fernando Carlos Lopez Hernandez +1
Physics-Informed Neural Networks (PINNs) have emerged as a powerful mesh-free framework for solving ordinary and partial differential equations by embedding the governing physical…