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A generalized mean intensity approach for the numerical solution of the radiative transfer equation. (English) Zbl 0822.65129
From the author’s summary: Using the concept of the generalized mean intensity, the dimension of the system can be drastically diminished, without losing any information. The corresponding system matrices are positive definite under appropriate conditions on the choice of the discrete ordinates and, therefore, the classical conjugate gradient iteration is converging. In connection with local preconditioners, we develop robust and efficient methods of conjugate gradient type, which are superior to the classical approximate \(\Lambda\)-iteration, but with about the same numerical effort.
Reviewer: C.L.Koul (Jaipur)

MSC:
65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
85A25 Radiative transfer in astronomy and astrophysics
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