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- 2002280841 contributor B9279046.
- 2002280841 created "2002.".
- 2002280841 date "2002".
- 2002280841 date "2002.".
- 2002280841 dateCopyrighted "2002.".
- 2002280841 description "Includes bibliographical references (p. [193]-207).".
- 2002280841 description "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.".
- 2002280841 extent "vi, 207 p. :".
- 2002280841 identifier "9067643548".
- 2002280841 identifier 2002280841.html.
- 2002280841 isPartOf "Inverse and ill-posed problems series, 1381-4524".
- 2002280841 issued "2002".
- 2002280841 issued "2002.".
- 2002280841 language "eng".
- 2002280841 publisher "Utrecht ; Boston : VSP,".
- 2002280841 subject "530.1/38 21".
- 2002280841 subject "QC175.25.R3 A55 2002".
- 2002280841 subject "Radiative transfer Mathematics.".
- 2002280841 subject "Tomography Mathematical models.".
- 2002280841 subject "Transport theory.".
- 2002280841 tableOfContents "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.".
- 2002280841 title "Transport equation and tomography / D.S. Anikonov, A.E. Kovtanyuk and I.V. Prokhorov.".
- 2002280841 type "text".