An edition of Transport equation and tomography (2002)

Transport equation and tomography

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Cover of: Transport equation and tomography by D. S. Anikonov, D. S. Anikonov
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Last edited by Open Library Bot
December 5, 2010 | History
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An edition of Transport equation and tomography (2002)

Transport equation and tomography

by

  • 1 Want to read

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Publish Date
Publisher
VSP
Language
English
Pages
207

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Subjects

Mathematical models, Mathematics, Radiative transfer, Tomography, Transport theory

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Edition Availability
Cover of: Transport equation and tomography
Transport equation and tomography
2002, VSP
in English
  • Not in Library
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Book Details

Table of Contents

Machine generated contents note: Part 1. Direct and inverse problems for the transport equation with energy dependence13
1.1. Derivation of the radiation transport equation13
1.2. Formulation and investigation of the direct problem for the transport equation18
1.3. Continuity of solutions to the direct problem 28
1.4. Determination of the total attenuation coefficient for discontinuous density of the input flux 33
1.5. Description of a source with discontinuous radiation density39
1.6. A boundary value problem with a parameter for the transport equation 44
1.7. Determining the total interaction coefficient by multiple irradiation53
1.8. Providing special boundary conditions for multiple irradiation55
1.9. Testing the algorithms for determining unknown media 65
Part 2. The tomography problem in the monoenergetic case 77
2.1. The direct problem for the monoenergetic transport equation77
2.2. Additional restrictions 85
2.3. A formula for the gradient of a solution to the transport equation89
2.4. Auxiliary statements102
2.5. The indicator of heterogeneity in the tomography problem, and the measure of visibility 122
2.6. Invisibility media in tomography 141
2.7. Computerized testing of the indicator of heterogeneity148
2.8. Some contradictions between two mathematical models of transport theory 160
2.9. Comparing two models in transport theory in the plane-parallel case 175
2.10. Prospective investigation 186.

Edition Notes

Includes bibliographical references (p. [193]-207).

Published in
Utrecht, Boston
Series
Inverse and ill-posed problems series,

Classifications

Dewey Decimal Class
530.1/38
Library of Congress
QC175.25.R3 A55 2002, QC175.25.R3A55 2002

The Physical Object

Pagination
vi, 207 p. :
Number of pages
207

ID Numbers

Open Library
OL3583524M
ISBN 10
9067643548
LCCN
2002280841
OCLC/WorldCat
49286498
Goodreads
6208271

Source records

Better World Books record
Library of Congress MARC record

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History

Download catalog record: RDF / JSON
December 5, 2010 Edited by Open Library Bot Added subjects from MARC records.
April 28, 2010 Edited by Open Library Bot Linked existing covers to the work.
December 10, 2009 Created by WorkBot add works page