Direct and indirect computation of the transport equation eigenvalues

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The four most commonly used eigenvalues of the quasi-stationary transport equation are: k, α, γ and δ. Incorporating all these eigenvalues into one equation yields δΩ&oarr;.∇Ψ+ΣΨ+(α/v)Ψ=(Sf/k+Ss)/γ. This equation is solved with one of the eigenvalues `active' while all the other eigenvalues retain their `mute' values (k=1, α=0, γ=1, δ=1). Most computer codes compute directly either the k eigenvalue or the γ eigenvalue. In order to compute α or δ two different approaches are known: the interpolation scheme and the direct scheme. The authors appraise these schemes and show that both can be interpreted as indirect computations utilizing different methods of numerical analysis.
Original languageEnglish
Title of host publicationNuclear Societies of Israel Transactions. Annual Meeting 1985
Place of PublicationBeer-Sheva, Israel
Pages6 - 8
Number of pages3
StatePublished - 1985

Bibliographical note

indirect computation;transport equation eigenvalues;interpolation scheme;direct scheme;


  • neutron transport theory


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