Spectrum of one-speed Neutron transport operator with reflective boundary conditions in slab geometry

DOI10.1080/00411459508206019zbMath0870.45004OpenAlexW2032287463MaRDI QIDQ4337835

Nils Göran Sjöstrand, D. C. Sahni, N. S. Garis

Publication date: 23 June 1997

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459508206019

zbMATH Keywords

isotropic scatteringeigenvalue spectrumslab geometryneutron transport equationreflective boundary conditions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Eigenvalue problems for integral equations (45C05)

Related Items (4)

Eigenvalue Formulations for the P_N Approximation to the Neutron Transport Equation ⋮ Time eigenvalues for one–speed neutrons in reflected spheres ⋮ On The Spectrum of Absorption Operators With Maxwell Boundary Conditions Arising in Population Dynamics and Transport Theory. A Unified Treatment ⋮ Transport theory revisited - 1960–1995 (A case history)

Uses Software

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Cites Work

• Spectral methods in linear transport theory
• Eigenvalues of the neutron transport operator for a homogeneous finite moderator
• The initial value problem for neutron transport in a slab with perfect reflection boundary conditions
• An asymptotic expansion in the theory of neutron transport
• Compactness properties for linear transport operators with abstract boundary conditions in slab geometry
• Asymptotic solutions of the transport equation for thermal neutrons
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons
• Unnamed Item

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