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Calculation of Lambda Modes of a Nuclear Reactor: A Parallel Implementation Using the Implicitly Restarted Arnoldi Method

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Part of the book series:Lecture Notes in Computer Science ((LNCS,volume 1573))

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Abstract

The objective of this work is to obtain the dominantλ-modes of a nuclear power reactor. This is a real generalized eigenvalue problem, which can be reduced to a standard one. The method used to solve it has been the Implicitly Restarted Arnoldi (IRA) method. Due to the dimensions of the matrices, a parallel approach has been proposed, implemented and ported to several platforms. This includes the development of a parallel iterative linear system solver. To obtain the best performance, care must be taken to exploit the structure of the matrices.

This work has been developed under the support of the Spanish (TIC96-1062-C03-01) and Valencian (FPI-97-CM-05-0422-G) governments.

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Authors and Affiliations

  1. Dept. Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46071, Valencia, Spain

    Vicente Hernández, José E. Román, Antonio M. Vidal & Vicent Vidal

Authors
  1. Vicente Hernández

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  2. José E. Román

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  3. Antonio M. Vidal

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  4. Vicent Vidal

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Editor information

Editors and Affiliations

  1. EUIT Telecomunicación - DIATEL, Universidad Politécnica de Madrid, Ctra., Valencia, Km. 7, 28031, Madrid, Spain

    Vicente Hernández

  2. Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n, 4200-465, Porto, Portugal

    José M. L. M. Palma

  3. Computer Science Department, University of Tennessee, TN 37996-3450, Knoxville, USA

    Jack J. Dongarra

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© 1999 Springer-Verlag Berlin Heidelberg

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Hernández, V., Román, J.E., Vidal, A.M., Vidal, V. (1999). Calculation of Lambda Modes of a Nuclear Reactor: A Parallel Implementation Using the Implicitly Restarted Arnoldi Method. In: Hernández, V., Palma, J.M.L.M., Dongarra, J.J. (eds) Vector and Parallel Processing – VECPAR’98. VECPAR 1998. Lecture Notes in Computer Science, vol 1573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10703040_5

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