A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy

Understand

Deterministic models for radiation transport describe the density of radiation particles moving through a background material.

• In radiation therapy applications, the phase space of this density is composed of energy, spatial position and direction of flight.
• The resulting six-dimensional phase space prohibits fine numerical discretizations, which are essential for the construction of accurate and reliable treatment plans.
• In this work, we tackle the high dimensional phase space through a dynamical low-rank approximation of the particle density.