Geodesic
Approximation of the absorption coefficient for the radiative transfer equation on a~given energy interval
Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 4, pp. 116-129.

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We consider the approximation of the absorption coefficient of the energy of a given substance for the radiative transfer equation by the absorption coefficient of a mixture of other substances on some energy interval. We indicate a connection between this problem and the problem of determining the internal structure of a nonhomogeneous medium from the results of its tomographic sounding. We give a geometric interpretation of the problem and its solution. For a given energy grid, we obtain necessary and sufficient conditions for the best approximation of the absorption coefficient. 
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     title = {Approximation of the absorption coefficient for the radiative transfer equation on a~given energy interval},
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V. G. Nazarov. Approximation of the absorption coefficient for the radiative transfer equation on a~given energy interval. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 4, pp. 116-129. http://geodesic.mathdoc.fr/item/SJIM_2004_7_4_a10/

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