摘要:

A spectral analysis is given of the linear operator for multigroup neutron transport in a one-dimensional homogeneous plane slab. Azimuthal symmetry and isotropic scattering are assumed. The spectrum consists of a continuous and a discrete part; the multiplicity is nonuniform throughout the spectrum. Particular emphasis is placed on the construction and representation of a diagonalizing transformation.

ISSN:0041-1450    

DOI:10.1080/00411458608212680

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

A finite element method is applied to the first order form of the energy-dependent neutron transport equation. The energy variable is treated separately from the position and direction variables. This treatment leads to a set of multigroup equations that generalize the standard multigroup equations. An error analysis is performed in which the error with respect to the energy variable is separated from the error with respect to the position and direction variables. The analysis indicates that the error in the standard multigroup equations is proportional to the width of the energy intervals, i.e. groups. The accuracy can be increased by using the generalized multigroup equations that are derived in the present investigation. (A disadvantage is that they are more complicated than the standard multigroup equations.) Numerical examples indicate that the accuracy obtained using these generalized multigroup equations is about the same as that obtained using the standard multigroup-equations but with eight times the number of energy intervals at least for moderately deep shield in gpenetrations.

ISSN:0041-1450    

DOI:10.1080/00411458608212681

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

In this paper we investigate a class of inverse problems for one speed transport in inhomogeneous slab media. We show the existence, uniqueness and the w*-stability of the solution of the inverse problem. A series and integral expressions for the solution of the inverse problem are also derived.

ISSN:0041-1450    

DOI:10.1080/00411458608212682

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

In computational and experimental aspects of nuclear reactor theory, the perturbation method is applied in many ways1,2. In this paper we rigorously apply this perturbation method to find qualitative results for the critical parameter, the critical flux, the fundamental decay factor (the dominant eigenvalue) and the fundamental mode.

ISSN:0041-1450    

DOI:10.1080/00411458608212683

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

For initial data close to equilibrium, we prove the unique global existence and aoproach to equilibrium of space-periodic (strict) solutions to the Boltzmann equation with a Lorentz force corresponding to constant magnetic field. The hypotheses on the collision law are, in essence, Grad's conditions for angular cut-off hard potentials.

ISSN:0041-1450    

DOI:10.1080/00411458608212684

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

by J. D. Achenbach, A.K. Gautesen, and H. McKaken Pitman Publishing, Boston, Massachusetts 1982, xi + 251 pp., $35.00, ISBN 0 273 084534

ISSN:0041-1450    

DOI:10.1080/00411458608212685

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor

摘要:

Edited by I. Gohberg; translated from the Russian by A. Jacob; OT7, Birkhauser Verlag, Basel (1983); ISBN 3-7643-1517-2

ISSN:0041-1450    

DOI:10.1080/00411458608212686

出版商:Taylor & Francis Group    

年代:1986

数据来源: Taylor