Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 195-211
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The time-dependent intensity of a UV -photon source, located inside an interstellar cloud, is determined by formulating and solving an inverse problem for the integro-differential transport equation of photons in a one-dimensional slab. Starting from a discretizazion of the direct problem, an iterative procedure is used to compute the values of the source intensity at increasing values of time, and it is applied in some numerical simulations, whose results are presented and discussed.
@article{BUMI_2007_8_10B_1_a9,
author = {Pieraccini, Sandra and Riganti, Riccardo and Belleni-Morante, Aldo},
title = {Numerical {Treatment} of a {Time} {Dependent} {Inverse} {Problem} in {Photon} {Transport}},
journal = {Bollettino della Unione matematica italiana},
pages = {195--211},
publisher = {mathdoc},
volume = {Ser. 8, 10B},
number = {1},
year = {2007},
zbl = {1178.45013},
mrnumber = {2310964},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a9/}
}
TY - JOUR AU - Pieraccini, Sandra AU - Riganti, Riccardo AU - Belleni-Morante, Aldo TI - Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport JO - Bollettino della Unione matematica italiana PY - 2007 SP - 195 EP - 211 VL - 10B IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a9/ LA - en ID - BUMI_2007_8_10B_1_a9 ER -
%0 Journal Article %A Pieraccini, Sandra %A Riganti, Riccardo %A Belleni-Morante, Aldo %T Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport %J Bollettino della Unione matematica italiana %D 2007 %P 195-211 %V 10B %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a9/ %G en %F BUMI_2007_8_10B_1_a9
Pieraccini, Sandra; Riganti, Riccardo; Belleni-Morante, Aldo. Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 195-211. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a9/