The spectrum of the multigroup neutron transport operator for bounded spatial domains

DOI10.1063/1.524278zbMath0417.45007OpenAlexW2072913342MaRDI QIDQ3207566

Edward W. Larsen

Publication date: 1979

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524278

zbMATH Keywords

eigenvaluesspectrumdominant eigenvaluenonnegative eigenfunctionmultigroup neutron transport operatorbounded spatial regions

Mathematics Subject Classification ID

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

Related Items (9)

A note on the spectrum of the transport operator with continuous energy ⋮ Dependence of the time eigenvalue of linear transport operator on the system size and other parameters -an application of the Perron-Erobenius theorem ⋮ On the approximation of the leading eigenelements for a class of transport operators ⋮ Multiresolution approach to the approximation of the leading eigenelements of some neutron transport operators ⋮ On the real point spectrum of multigroup neutron transport operator in bounded geometries ⋮ The spectrum of a one-velocity transport operator with integral boundary conditions of Maxwell type ⋮ Positivity and monotonicity properties of transport equations with spatially dependent cross sections ⋮ Spectral properties and asymptotic behavior of the linear transport equation ⋮ Positivity in time dependent linear transport theory

Cites Work

• On the spectrum of neutron transport equation in finite bodies
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• An asymptotic expansion in the theory of neutron transport
• On the real spectrum of a mono-energetic neutron transport operator
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

This page was built for publication: The spectrum of the multigroup neutron transport operator for bounded spatial domains