Name
Title | ||
|---|---|---|
Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the k-eigenvalue problem |
Abstract | ||
|---|---|---|
We compare a variant of Anderson Mixing with the Jacobian-Free Newton-Krylov and Broyden methods applied to an instance of the k-eigenvalue formulation of the linear Boltzmann transport equation. We present evidence that one variant of Anderson Mixing finds solutions in the fewest number of iterations. We examine and strengthen theoretical results of Anderson Mixing applied to linear problems. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.jcp.2012.12.024 | J. Comput. Physics |
Keywords | Field | DocType |
present evidence,broyden method,discrete ordinates formulation,anderson mixing,theoretical result,linear problem,k-eigenvalue problem,fewest number,jacobian-free newton-krylov,nonlinear krylov acceleration,k-eigenvalue formulation,linear boltzmann transport equation,boltzmann equation | Mathematical optimization,Boltzmann equation,Nonlinear system,Ordinate,Mathematical analysis,Acceleration,Boltzmann constant,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | ISSN | Citations |
238, | 0021-9991 | 9 |
PageRank | References | Authors |
0.94 | 8 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthew T. Calef | 1 | 9 | 0.94 |
| Erin D. Fichtl | 2 | 9 | 1.28 |
| James S. Warsa | 3 | 26 | 4.86 |
| M. Berndt | 4 | 50 | 8.27 |
| Neil N. Carlson | 5 | 39 | 14.87 |