Rayleigh Quotient Iteration with a Multigrid in Energy Preconditioner for Massively Parallel Neutron Transport
@article{Slaybaugh2017RayleighQI, title={Rayleigh Quotient Iteration with a Multigrid in Energy Preconditioner for Massively Parallel Neutron Transport}, author={R. Slaybaugh and T. Evans and G. Davidson and P. Wilson}, journal={ArXiv}, year={2017}, volume={abs/1702.02111} }
Three complementary methods have been implemented in the code Denovo that accelerate neutral particle transport calculations with methods that use leadership-class computers fully and effectively: a multigroup block (MG) Krylov solver, a Rayleigh quotient iteration (RQI) eigenvalue solver, and a multigrid in energy preconditioner. The multigroup Krylov solver converges more quickly than Gauss Seidel and enables energy decomposition such that Denovo can scale to hundreds of thousands of cores… Expand
References
SHOWING 1-10 OF 25 REFERENCES
Massively Parallel, Three-Dimensional Transport Solutions for the k-Eigenvalue Problem
- Computer Science
- 2014
- 33
Fast iterative methods for discrete-ordinates particle transport calculations
- Computer Science
- 2002
- 410
The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
- Mathematics
- 1974
- 178
- PDF
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES
- Computer Science, Mathematics
- SIAM J. Matrix Anal. Appl.
- 2006
- 76
- PDF