Analysis Tools for Universal Differential Equations for the Maxey-Riley-Gatignol Equations

First release of analysis tools for the universal differential equation (UDE) framework used to approximate the Basset force.

This repository provides analysis tools for evaluating Universal Differential Equations (UDEs) applied to the Maxey–Riley equations, with a focus on modeling the history term. It assumes that trajectory data has already been generated, either using the  UDE training and trajectory generation code (https://doi.org/10.5281/zenodo.19471023) or from the provided data (https://doi.org/10.5281/zenodo.19454255).

The analytical methods provided include:

• analysis of the UDE Losses during training
• relative distances of generated trajectories to reference trajectories
• clustering of the trajectory's final positions
• analysis of the approximated history term

This repository contains the software accompanying the preprint: Sommer, Rathi, Götschel, Ruprecht, "Approximation of the Basset force in the Maxey–Riley–Gatignol equations via universal differential equations", preprint, tba.