74 citations · 156 across the 28 of their papers we have counts for
4 papers · 2 filters
Multigrid methods for tensor structured Markov chains with low rank approximation
Matthias Bolten, Karsten Kahl, Sonja Sokolović
Tensor structured Markov chains are part of stochastic models of many practical applications, e.g., in the description of complex production or telephone networks. The most interes…
Algebraic distance for anisotropic diffusion problems: multilevel results
A. Brandt, J. Brannick, K. Kahl +1
In this paper we motivate, discuss the implementation and present the resulting numerics for a new definition of strength of connection which is based on the notion of algebraic di…
Bootstrap Algebraic Multigrid: status report, open problems, and outlook
Achi Brandt, James Brannick, Karsten Kahl +1
This paper provides an overview of the main ideas driving the bootstrap algebraic multigrid methodology, including compatible relaxation and algebraic distances for defining effect…
An Adaptively Constructed Algebraic Multigrid Preconditioner for Irreducible Markov Chains
James Brannick, Karsten Kahl, Sonja Sokolovic
The computation of stationary distributions of Markov chains is an important task in the simulation of stochastic models. The linear systems arising in such applications involve no…