4 papers
A Dynamical Low-rank Multilevel Monte Carlo Estimator for High-Dimensional Kinetic Equations
Chinmay Patwardhan, Sebastian Krumscheid, Jonas Kusch +2
Kinetic equations are used to model a wide range of phenomena important for real-world applications. Their applications span astrophysics, nuclear physics, engineering, and social…
A high-order deterministic dynamical low-rank method for proton transport in heterogeneous media
Pia Stammer, Niklas Wahl, Jonas Kusch +1
Dose calculations in proton therapy require the fast and accurate solution of a high-dimensional transport equation for a large number of (pencil) beams with different energies and…
Low-rank variance reduction for uncertain radiative transfer with control variates
Chinmay Patwardhan, Pia Stammer, Emil Løvbak +2
The radiative transfer equation models various physical processes ranging from plasma simulations to radiation therapy. In practice, these phenomena are often subject to uncertaint…
A Deterministic Dynamical Low-rank Approach for Charged Particle Transport
Pia Stammer, Tiberiu Burlacu, Niklas Wahl +2
Deterministically solving charged particle transport problems at a sufficient spatial and angular resolution is often prohibitively expensive, especially due to their highly forwar…