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- W2000721489 abstract "Abstract A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution." @default.
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- W2000721489 date "1989-03-01" @default.
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- W2000721489 title "A new scheme for multi-dimensional line transfer—I. Formulation and 1-D results" @default.
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- W2000721489 doi "https://doi.org/10.1016/0022-4073(89)90029-0" @default.
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