Calculation of lambda modes of a nuclear reactor: A parallel implementation using the implicitly restarted arnoldi method

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1573, Issue , 1999, Pages 43-57

  Hernández, Vicente ^a   Román, José E ^a   Vidal, Antonio M ^a   Vidal, Vicent ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Eigenproblems; Lambda modes; Parallel computing

Indexed keywords

EID: 35248870064     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/10703040_5     Document Type: Conference Paper

References (12)

1. J. Dongarra, V. Eijkhout, and A. Kalhan. Reverse communication interface for linear algebra templates for iterative methods. Technical Report UT-CS-95-291, Department of Computer Science, University of Tennessee, May 1995.
2. A. H_ebert. Application of the Hermite Method for Finite Element Reactor Calculations. Nuclear Science and Engineering, 91:34-58, 1985.
3. T. Lefvert. RINGHALS1 Stability Benchmark-Final Report. Technical Report NEA/NSC/DOC(96)22, November 1996.
4. R. B. Lehoucq, D. C. Sorensen, and C. Yang. ARPACK USERS GUIDE: Solution of Large Scale EigenvalueProblems by Implicitly Restarted ArnoldiMethods. SIAM, Philadelphia, PA, 1998.
5. K. J. Maschho_ and D. C. Sorensen. PARPACK: An Efficient Portable Large Scale Eigenvalue Package for Distributed Memory Parallel Architectures. Lecture Notes in Computer Science, 1184:478-486, 1996.
6. MPI Forum. MPI: a message-passing interface standard. International Journal of Supercomputer Applications and High Performance Computing, 8(3/4):159-416, Fall-Winter 1994.
7. Y. Saad. SPARSKIT: a basic tool kit for sparse matrix computation. RIACS Technical Report 90.20, NASA Ames Research Center, 1990.
8. Danny C. Sorensen. Implicitly Restarted Arnoldi/Lanczos Methods For Large Scale Eigenvalue Calculations. Technical Report TR-96-40, Institute for Computer Applications in Science and Engineering, May 1996.
9. G. Verdú, J. L. Muñoz-Cobo, C. Pereira, and D. Ginestar. Lambda Modes of the Neutron-Di_usion Equation. Application to BWRs Out-of-Phase Instabilities. Ann. Nucl. Energy, 7(20):477-501, 1993.
10. V. Vidal, J. Garayoa, G. Verd_u, and D. Ginestar. Optimization of the Subspace Iteration Method for the Lambda Modes Determination of a Nuclear Power Reactor. Journal of Nuclear Science and Technology, 34(9):929-947, September 1997.
11. V. Vidal, G. Verd_u, D. Ginestar, and J. L. Muñoz-Cobo. Variational Acceleration for Subspace Iteration Method. Application to Nuclear Power Reactors. Interna-tional Journal for Numerical Methods in Engineering, 41:391-407, 1998.
12. J. R. Weston and M. Stacey. Space-Time Nuclear Reactor Kinetics. Academic Press, New York, 1969