EDP Sciences Journals List
Home Document
Subscriber Authentication Point
Free access article

Issue ESAIM: COCV
Volume 5, 2000
Page(s) 259 - 278
DOI 10.1051/cocv:2000110

References

1
V.A. Ambartsumyan, Scattering and absorption of light in planetary atmospheres. Uchen. Zap. TsAGI 82 (1941), in Russian.
2
S. Chandrasekhar, Radiative Transfer. New York (1960).
3
J.-L. Lions, Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles. Dunod, Paris (1968).
4
V.I. Lebedev and V.I. Agoshkov, The Poincaré-Steklov Operators and their Applications in Analysis. Dept. of Numerical Math. of the USSR Academy of Sciences, Moscow (1983), in Russian.
5
V.I. Agoshkov, Generalized solutions of transport equations and their smoothness properties. Nauka, Moscow (1988), in Russian.
6
V.I. Agoshkov, Reflection operators and domain decomposition methods in transport theory problems. Sov. J. Numer. Anal. Math. Modelling 2 (1987) 325-347.
7
V.I. Agoshkov, On the existence of traces of functions in spaces used in transport theory problems. Dokl. Akad. Nauk SSSR 288 (1986) 265-269, in Russian.
8
V.S. Vladimirov, Mathematical problems of monenergetic particle transport theory. Trudy Mat. Inst. Steklov 61 (1961), in Russian.
9
G.I. Marchuk, Design of Nuclear Reactors. Atomizdat, Moscow (1961), in Russian.
10
V.V. Sobolev, Light Scattering in Planetary Atmospheres. Pergamon Press, Oxford, U.K. (1973).
11
G.I. Marchuk and V.I. Agoshkov, Reflection Operators and Contemporary Applications to Radiative Transfer. Appl. Math. Comput. 80 (1995) 1-19.
12
V.I. Agoshkov, Domain decomposition methods in problems of hydrodynamics. I. Problem plain circulation in ocean. Moscow: Department of Numerical Mathematics, Preprint No. 96 (1985) 12, in Russian.
13
V.I. Agoshkov, Domain decomposition methods and perturbation methods for solving some time dependent problems of fluid dynamics, in Proc. of First International Interdisciplinary Conference. Olympia -91 (1991).
14
V.I. Agoshkov, Control theory approaches in: data assimilation processes, inverse problems, and hydrodynamics. Computer Mathematics and its Applications, HMS/CMA 1 (1994) 21-39.
15
Ill-posed problems in natural Sciences, edited by A.N. Tikhonov. Moscow, Russia - VSP, Netherlands (1992).
16
A.L. Ivankov, Inverse problems for the nonstationary kinetic transport equation. In [15].
17
A.I. Prilepko, D.G. Orlovskii and I.A. Vasin, Inverse problems in mathematical physics. In [15].
18
Yu.E. Anikonov, New methods and results in multidimensional inverse problems for kinetic equations. In [15].
19
E.C. Titchmarsh, Introduction to the Theory of Fourier Integral. New York (1937).
20
C. Bardos, Mathematical approach for the inverse problem in radiative media (1986), not published.
21
K.M. Case, Inverse problem in transport theory. Phys. Fluids 16 (1973) 16-7-1611.
22
L.P. Niznik and V.G. Tarasov, Reverse scattering problem for a transport equation with respect to directions. Preprint, Institute of Mathematics, Academy Sciences of the Ukrainian SSR (1980).
23
K.K. Hunt and N.J. McCormick, Numerical test of an inverse method for estimating single-scattering parameters from pulsed multiple-scattering experiments. J. Opt. Soc. Amer. A. 2 (1985).
24
N.J. McCormick, Recent Development in inverse scattering transport method. Trans. Theory Statist. Phys. 13 (1984) 15-28.
25
C. Bardos, R. Santos and R. Sentis, Diffusion approximation and the computation of critical size. Trans. Amer. Math. Soc. 284 (1986) 617-649.
26
C. Bardos, R. Caflish and B. Nicolaenko, Different aspect of the Milne problem. Trans. Theory Statist. Phys. 16 (1987) 561-585.
27
V.P. Shutyaev, Integral reflection operators and solvability of inverse transport problem, in Integral equations in applied modelling. Kiev: Inst. of Electrodynamics, Academy of Sciences of Ukraine, Vol. 2 (1986) 243-244, in Russian.
28
V.I. Agoshkov and C. Bardos, Inverse radiative problems: The problem on boundary function. CMLA, ENS de Cachan, Preprint No. 9801 (1998).
29
V.I. Agoshkov and C. Bardos, Inverse radiative problems: The problem on the right-hand-side function. CMLA, ENS de Cachan, Preprint No. 9802 (1998).
30
V.I. Agoshkov and C. Bardos, Optimal control approach in 3D-inverse radiative problem on boundary function (to appear).
31
V.I. Agoshkov, C. Bardos, E.I. Parmuzin and V.P. Shutyaev, Numerical analysis of iterative algorithms for an inverse boundary transport problem (to appear).
32
S.I. Kabanikhin and A.L. Karchevsky, Optimization methods of solving inverse problems of geoelectrics. In [15].
33
F. Coron, F. Golse and C. Sulem, A Classification of Well-Posed Kinetic Layer Problems. Comm. Pure Appl. Math. 41 (1988) 409-435.
34
R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, CEA. Masson, Tome 9.
35
R. Glowinski and J.-L. Lions, Exact and approximate controllability for distributed parameter systems. Acta Numer. (1994) 269-378.

Abstract

Copyright EDP Sciences, SMAI



What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.