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Experiments with the Power and Arnoldi Methods for Solving the Two-Group Neutron Diffusion Eigenvalue Problem

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Advances in Optimization and Numerical Analysis

Part of the book series: Mathematics and Its Applications ((MAIA,volume 275))

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Abstract

The algebraic solution to the two-group neutron diffusion problem is investigated. It is a generalized nonsymmetric eigenvalue problem for which the dominant eigenvalue — which is real — and the corresponding eigenvector are sought. We present comparisons, for this problem, of the Arnoldi method with the power method, both combined with Chebyshev acceleration.

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© 1994 Springer Science+Business Media Dordrecht

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Jaffré, J., Vaudescal, JL. (1994). Experiments with the Power and Arnoldi Methods for Solving the Two-Group Neutron Diffusion Eigenvalue Problem. In: Gomez, S., Hennart, JP. (eds) Advances in Optimization and Numerical Analysis. Mathematics and Its Applications, vol 275. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8330-5_15

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  • DOI: https://doi.org/10.1007/978-94-015-8330-5_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4358-0

  • Online ISBN: 978-94-015-8330-5

  • eBook Packages: Springer Book Archive

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