# Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport

Sandra Pieraccini; Riccardo Riganti; Aldo Belleni-Morante

Bollettino dell'Unione Matematica Italiana (2007)

- Volume: 10-B, Issue: 1, page 195-211
- ISSN: 0392-4041

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topPieraccini, Sandra, Riganti, Riccardo, and Belleni-Morante, Aldo. "Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport." Bollettino dell'Unione Matematica Italiana 10-B.1 (2007): 195-211. <http://eudml.org/doc/290381>.

@article{Pieraccini2007,

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 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.},

author = {Pieraccini, Sandra, Riganti, Riccardo, Belleni-Morante, Aldo},

journal = {Bollettino dell'Unione Matematica Italiana},

language = {eng},

month = {2},

number = {1},

pages = {195-211},

publisher = {Unione Matematica Italiana},

title = {Numerical Treatment of a Time Dependent Inverse Problem in Photon Transport},

url = {http://eudml.org/doc/290381},

volume = {10-B},

year = {2007},

}

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 dell'Unione Matematica Italiana

DA - 2007/2//

PB - Unione Matematica Italiana

VL - 10-B

IS - 1

SP - 195

EP - 211

AB - 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.

LA - eng

UR - http://eudml.org/doc/290381

ER -

## References

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