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 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…
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…
Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations
Chinmay Patwardhan, Martin Frank, Jonas Kusch
The thermal radiative transfer equations model temperature evolution through a background medium as a result of radiation. When a large number of particles are absorbed in a short…