An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres (Q1602762)
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scientific article; zbMATH DE number 1758417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres |
scientific article; zbMATH DE number 1758417 |
Statements
An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres (English)
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24 June 2002
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The authors consider the numerical solution of a weakly singular second kind Fredholm integral equation which appears in astrophysics by a piecewise constant Galerkin method. They prove convergence in \(L^1\) and develop an iterative refinement method to deal with a large number of unknowns. A parallel implementation of the algorithm and the results of numerical test are discussed.
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weakly singular kernel
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second kind Fredholm integral equation
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iterative refinement
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parallelization
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radiation transfer equation
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stellar atmospheres
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numerical examples
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astrophysics
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Galerkin method
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convergence
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