We're sorry but this page doesn't work properly without JavaScript enabled. Please enable it to continue.
Feedback

Dynamical low-rank approximation for radiation transport

Formal Metadata

Title
Dynamical low-rank approximation for radiation transport
Title of Series
Number of Parts
19
Author
Contributors
License
CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
Publisher
Release Date
Language

Content Metadata

Subject Area
Genre
Abstract
The dynamical low-rank approximation is a low-rank factorization updating technique. It leads to differential equations for factors ina decomposition of the solution, which need to be solved numerically. The dynamical low-rank method seems particularly suitable for solving kinetic equations, because in many relevant cases the effective dynamics takes place on a lower-dimensional manifold and thus the solution has low rank. In thisway, the 5-dimensional (3 space, 2 angle) radiation transport problem is reduced, both in computational cost as well as in memory footprint. We show several numerical examples.