GMRES as a multi-step transport sweep accelerator

Transport Theory and Statistical Physics

Volumn 28, Issue 1, 1999, Pages 83-102

  Guthrie, Brian ^a   Holloway, James P ^a   Patton, Bruce W ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033248864     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459908214516     Document Type: Article

References (9)

1. R. E. Alcouffe, "Diffusion synthetic acceleration methods for the diamond-differenced discrete-ordinates equations" Nuclear Science and Engineering, 64 p. 344 (1977).
2. V. Faber and T. A. Manteuffel, "Neutron transport from the viewpoint of linear algebra," in Transport Theory, Invariant Imbedding and Integral Equations, Nelson et al., Eds., Lecture Notes in Pure and Applied Mathematics, Vol. 115, Marcel-Decker, New York (1989).
3. C. T. Kelly and Z. Q. Xue "GMRES and Integral Operators," SIAM Journal on Scientific Computing, 17, p. 217 (1996).
4. Anne Greenbaum, Analysis of Iterative Methods for Solving Linear Systems, monograph manuscript in preparation.
5. Youcef Saad and Martin H. Schultz, "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems," SIAM Journal of Scientific and Statistical Computing, 7, p. 856 (1986).
6. th Copper Mountain Conference on Multigrid Methods, (1995).
7. S. Oliveria, "Krylov Subspace Methods for Transport Equations," XENFIR III, (1995).
8. Bruce W. Patton and James Paul Holloway, "Application of Krylov Subspace Iterative Methods to the Slab Geometry Transport Equation," Advancements and Applications in Radiation Protection and Shielding, Proceedings of the ANS Topical on Radiation Protection and Shielding, Cape Cod, April 21-25, 1996, Vol. 1, pp 384 (1996).
9. Bruce W. Patton, Application of Krylov Subspace Iterative Techniques to the Numerical Solution of the Neutron Transport Equation, Ph. D. Dissertation, University of Michigan, Department of Nuclear Engineering and Radiological Sciences (1996).