2 papers
cs.LG2026
Physics-Informed Neural Networks and Radial Basis Functions for PDEs with Dirac Delta Sources
Manuel Reyna, Alexandre Tartakovsky
Physics-Informed Neural Networks (PINNs) are a machine learning method for solving forward and inverse Partial Differential Equations (PDEs). When applied to PDEs with Dirac delta…
cs.CE2025
Parameter Estimation in River Transport Models With Immobile Phase Exchange Using Dimensional Analysis and Reduced-Order Models
Manuel M. Reyna, Alexandre M. Tartakovsky
We propose a framework for parameter estimation in river transport models using breakthrough curve data, which we refer to as Dimensionless Synthetic Transport Estimation (DSTE). W…