DIRECT AND INDIRECT COMPUTATION OF THE TRANSPORT EQUATION EIGENVALUES.

R. L. Perel*, J. J. Wagschal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Algorithms for computing various eigenvalues of the transport equation can be classified as direct and indirect. The latter computes the eigenvalue by an iterative search on another, generalized, eigenvalue. Direct computation is shown to be a special case of indirect computation. As a result of this analysis, a new 'modified direct' algorithm was defined. The new algorithm also works in cases when the direct algorithm fails and it shows generally fast convergence. The proposed algorithm is applicable even to nonfissionable systems where the classical indirect approach via the k eigenvalue is possible only after an artificial 'juggling' of cross sections.

Original languageEnglish
Pages (from-to)409-412
Number of pages4
JournalNuclear Science and Engineering
Volume94
Issue number4
DOIs
StatePublished - 1986

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