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 forward problem, an iterative procedure is used to compute the values of the source intensity at increasing values of the time, and it is applied in some numerical simulations, whose results are presented and discussed.
Numerical treatment of a time dependent inverse problem in photon transport / Pieraccini, Sandra; Riganti, Riccardo; BELLENI MORANTE, A.. - In: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B. - ISSN 0392-4041. - STAMPA. - 10:1(2007), pp. 195-211.
Numerical treatment of a time dependent inverse problem in photon transport
PIERACCINI, SANDRA;RIGANTI, Riccardo;
2007
Abstract
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 forward problem, an iterative procedure is used to compute the values of the source intensity at increasing values of the time, and it is applied in some numerical simulations, whose results are presented and discussed.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2424774
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