摘要:

Families of variational functionals exist admitting the use of discontinuous trial functions in the approximate solution of neutron diffusion and transport equations. In this paper the fundamental properties of these approximation procedures are discussed. The methods of diffusion theory considered cover synthesis and finite dimensional approximations, continuous and multigroup energy dependence, and independent approximations of flux and current as well as approximations of the diffusion equation by using Lagrange multipliers. Assuming the Galerkin weighting, conditions assuring the stability and convergence of these methods are given. Reasoning by analogy, similar results are obtained for methods of transport theory.

ISSN:0041-1450    

DOI:10.1080/00411457708204325

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

A time-dependent problem arising in the diffusion of charged particles is studied by a recently proposed integral method. The Laplace transform technique leads to a linear integral equation containing the transform variable as a nonlinear parameter. The spectral analysis of this equation is then performed in the framework of Lebesgue spaces LP.

ISSN:0041-1450    

DOI:10.1080/00411457708204326

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

Case, de Hoffmann and Placzek1proved a theorem stating that given a uniform medium bounded by a surface B, and surrounded by a vacuum, the angular density inside B does not change if (i) the uniform medium is extended to infinity, (ii) neutron sources outside B are removed, the sources inside B being retained, and (iii) a suitable additional surface source is put on the surface B; for applications and modifications of this theorem see Montagnini and Pierpaoli2: Beauwens and Devooght3; Benoist and Kavenky4: Ribaric5§ V.c.21.

ISSN:0041-1450    

DOI:10.1080/00411457708204327

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

The academic year 1976–1977 saw four international conferences in transport theory. Two (at Oberwolfach, Germany, in November and Blacksburg, Virginia, in March) have already been reported in this journal.1,2The third was in Bologna, Italy in April, under the direction of Carlo Cercignani, and, unfortunately a report is not available. The fourth conference, at Graz, was attended by both the editor and associate editor, and is the subject of this report.

ISSN:0041-1450    

DOI:10.1080/00411457708204328

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411457708204329

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor