Iterative Methods for Neutron Transport Eigenvalue Problems

DOI10.1137/100799022zbMath1257.82120OpenAlexW2011838448MaRDI QIDQ3116459

Fynn Scheben, Ivan G. Graham

Publication date: 23 February 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/26696/1/Graham_Scheben_2011.pdf

zbMATH Keywords

symmetrycriticalitygeneralized eigenvalue problemneutron transportinexact inverse iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for integral equations (65R20) Applications to the sciences (65Z05) Nuclear reactor theory; neutron transport (82D75) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Eigenvalue problems for integral equations (45C05)

Related Items (7)

A Fourier continuation method for the solution of elliptic eigenvalue problems in general domains ⋮ A meshless Chebyshev collocation method for eigenvalue problems of the Helmholtz equation ⋮ The Radiative Transport Equation with Heterogeneous Cross-Sections ⋮ Efficient solution of the simplified \(P_N\) equations ⋮ Multi-species neutron transport equation ⋮ Stochastic Methods for Neutron Transport Equation III: Generational Many-to-One and $k_{\texttt{eff}}$ ⋮ Mesh independence of the generalized Davidson algorithm

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