Geodesic
Lebesgue averaging method in serial computations of atmospheric radiation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 6, pp. 1033-1047

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The Lebesgue averaging method was applied to the numerical simulation of the radiative transfer equation. It was found that the method ensures good accuracy, while the amount of computations with respect to the energy variable is reduced by more than three orders of magnitude. “Fast” simplified techniques for the Lebesgue processing of photon absorption cross sections in serial computations of atmospheric radiation were examined. Attention was given to the convenience of using the techniques, including by experienced users. 
@article{ZVMMF_2017_57_6_a9,
     author = {E. N. Aristova and M. N. Gertsev and A. V. Shilkov},
     title = {Lebesgue averaging method in serial computations of atmospheric radiation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1033--1047},
     publisher = {mathdoc},
     volume = {57},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_6_a9/}
}
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E. N. Aristova; M. N. Gertsev; A. V. Shilkov. Lebesgue averaging method in serial computations of atmospheric radiation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 6, pp. 1033-1047. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_6_a9/