Overview

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. This book deals mainly with the results of the authors' research devoted to both the study of the transport equation (the linear Boltzmann equation) and its applications in X-ray tomography. The introduction gives an outline of the book and deals with certain aspects of the methodology. The first part of the book is devoted to the investigation of known and new problems for the stationary transport equation of a general form. New problems are treated as problems of tomography. The second part deals with the monoenergetic transport equation. This book will be of interest to specialists in transport theory and tomography.

Full Product Details

Author:   Prokhorov ,  Kovtanyuk ,  Anikonov
Publisher:   Brill
Imprint:   VSP International Science Publishers
Volume:   30
Dimensions:   Width: 14.70cm , Height: 1.70cm , Length: 26.10cm
Weight:   0.488kg
ISBN:  

9789067643542

ISBN 10:   9067643548
Pages:   208
Publication Date:   12 February 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Unspecified
Availability:   Out of stock  

Table of Contents

Main designations Introduction Direct and inverse problems for the transport equation with energy dependence Derivation of the radiation transport equation Formulation and investigation of the direct problem for the transport equation Continuity of solutions to the direct problem Determination of the total attenuation coefficient for discontinuous density of the input flux Description of a source with discontinuous radiation density A boundary value problem with a parameter for the transport equation Determining the total interaction coefficient by multiple irradiation Providing special boundary conditions for multiple irradiation Testing the algorithms for determining unknown media The tomography problem in the monoenergetic case The direct problem for the monoenergetic transport equation Additional restrictions A formula for the gradient of a solution to the transport equation Auxiliary statements The indicator of heterogeneity in the tomography problem, and the measure of visibility Invisibility media in tomography Computerized testing of the indicator of heterogeneity Some contradictions between two mathematical models of transport theory Comparing two models in transport theory in the plane-parallel case Prospective investigation Bibliography

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