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math.NA2025
Convergence Properties of PINNs for the Navier-Stokes-Cahn-Hilliard System
Kevin Buck, Roger Temam
Approximating solutions to differential equations using neural networks has become increasingly popular and shows significant promise. In this paper, we propose a simplified framew…
math.NA2024
From Obstacle Problems to Neural Insights: Feed Forward Neural Network Modeling of Ice Thickness
Kapil Chawla, William Holmes, Roger Temam
In this study, we integrate the established obstacle problem formulation from ice sheet modeling with cutting-edge deep learning methodologies to enhance ice thickness predictions,…