Defense Technical Information Center Compilation Part Notice ADP 013716 TITLE : Iterative Refinement Schemes for an Ill-Conditioned Transfer Equation in Astrophysics

@inproceedings{AhuesDefenseTI,
  title={Defense Technical Information Center Compilation Part Notice ADP 013716 TITLE : Iterative Refinement Schemes for an Ill-Conditioned Transfer Equation in Astrophysics},
  author={Mario Ahues and Filomena Dias D'Almeida and Alain Largillier}
}
Let X := ([0, ro]), where ro represents the optical depth of a stellar atmosphere. The weakly singular integral operator T : X---X defined by (TW)(r) = for El(IT r'l)p(r') dr', where w e]0,1[ is the albedo of the atmosphere and E1 denotes the first exponential-integral function, is such that ITh1 = z(1 E 2(ro/2)), where E 2 denotes the second exponential-integral function. If zv is close to 1, and ro is large, then ITh1, is close to 1. In that case, the transfer problem given fEX, find WEX such… CONTINUE READING