most citedStatistical Inference on the Miss Distance Compared to Collision Probability for Conjunction Analysis

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math.NA2026

A Physics-Informed Neural Network with a Modified Lorentzian Activation for Nonlocal Gradient-Flow Equations in Dynamic Density Functional Theory

Dimitrios Gourzoulidis, Soumaya Elkantassi, Serafim Kalliadasis

We develop a physics-informed neural network (PINN) framework for nonlocal partial differential equations arising in dynamic density functional theory (DDFT). Such equations are ch…