2 papers
math.NA2023
Hierarchical Block Low-rank Approximation of Cavity Radiation
Ivan Baburin, Jonas Ballani, John W. Peterson +1
In this paper we examine the use of low-rank approximations for the handling of radiation boundary conditions in a transient heat equation given a cavity radiation setting. The fin…
math.NA2016
Multilevel tensor approximation of PDEs with random data
Jonas Ballani, Daniel Kressner, Michael Peters
In this paper, we introduce and analyze a new low-rank multilevel strategy for the solution of random diffusion problems. Using a standard stochastic collocation scheme, we first a…