# Neutron Transport Equation **Entity class:** Mathematical physics model ## Definition The **neutron transport equation** models the distribution and movement of neutrons through space, direction, energy, time, and interacting materials. High-fidelity discretizations can be computationally large, making model reduction useful for repeated and real-time queries. ## Relationships - **produces:** [[wiki/Radiation Transport Field|Radiation Transport Field]]. - **DTRA application:** [[wiki/Nuclear Weapon Radiation Effects Modeling|Nuclear Weapon Radiation Effects Modeling]]. - **accelerated by:** [[wiki/Reduced-Order Modeling|Reduced-Order Modeling]] and [[wiki/Scientific Machine Learning|Scientific Machine Learning]]. - **inverse formulation:** [[wiki/PDE-Constrained Inverse Problem|PDE-Constrained Inverse Problem]]. ## Sources / Provenance - [Sheriffdeen et al. — ML-enhanced reduced-order inverse solutions for parametrized neutron transport, 2019](https://arxiv.org/abs/1912.08864) - [Oden Institute — DTRA project](https://oden.utexas.edu/news-and-events/news/minimizing-uncertainty-in-uncertain-world-of-defense-energy/)