Calculating near-singular eigenvalues of the neutron transport operator with arbitrary order anisotropic scattering

DOI10.1016/j.matcom.2010.04.015zbMath1203.82147OpenAlexW2091099195MaRDI QIDQ991309

Gert Van den Eynde, Ernest Mund, Robert Beauwens

Publication date: 2 September 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.04.015

zbMATH Keywords

neutron transportanisotropic scatteringnear-singular eigenvalues

Mathematics Subject Classification ID

Nuclear reactor theory; neutron transport (82D75)

Uses Software

• LAPACK
• Maple
• mctoolbox
• Wolfram Functions Site

Cites Work

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• A companion matrix analogue for orthogonal polynomials
• Pseudozeros of polynomials and pseudospectra of companion matrices
• Improved Muller method and bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear equations
• Benchmark results in radiative transfer
• THE COLLEAGUE MATRIX, A CHEBYSHEV ANALOGUE OF THE COMPANION MATRIX
• LAPACK Users' Guide
• On computing eigenvalues in radiative transfer
• Accuracy and Stability of Numerical Algorithms
• Orthogonality of a Set of Polynomials Encountered in Neutron-Transport and Radiative-Transfer Theories
• Calculating the Discrete Spectrum of the Transport Operator with Arbitrary Order Anisotropic Scattering

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