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<図書>
Transport equation and tomography

責任表示 D. S. Anikonov, A. E. Kovtanyuk, and I. V. Prokhorov
シリーズ Inverse and ill-posed problems series
データ種別 図書
出版者 Utrecht : VSP
出版年 2002
本文言語 英語
大きさ vi, 207 p. : ill. ; 25 cm
目次 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.
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所蔵情報


理系図3F 数理独自 023212002001294 ANIK/5/1 2002

書誌詳細

一般注記 Bibliography: p[193]-207
著者標目 Anikonov, D. S.
Kovtanyuk, A. E.
Prokhorov, I. V.
書誌ID 1001397404
ISBN 9067643548
NCID BA56280619
巻冊次 ISBN:9067643548
登録日 2009.11.02
更新日 2009.11.02