7 papers · 1 filter
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…
An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems
Lena Baumann, Lukas Einkemmer, Christian Klingenberg +1
The numerical solution of parameter identification inverse problems for kinetic equations can exhibit high computational and memory costs. In this paper, we propose a dynamical low…
A Parallel, Energy-Stable Low-Rank Integrator for Nonlinear Multi-Scale Thermal Radiative Transfer
Chinmay Patwardhan, Jonas Kusch
Thermal radiative transfer models physical phenomena ranging from supernovas in astrophysics to radiation from a hohlraum striking a fusion target in plasma physics. Transport and…
An Augmented Backward-Corrected Projector Splitting Integrator for Dynamical Low-Rank Training
Jonas Kusch, Steffen Schotthöfer, Alexandra Walter
Layer factorization has emerged as a widely used technique for training memory-efficient neural networks. However, layer factorization methods face several challenges, particularly…
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…