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Numerical treatment of a time dependent inverse problem in photon transport

S. Pieraccini, R. Riganti, A. Belleni-Morante (2005)

Bollettino dell'Unione Matematica Italiana

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.

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