Abstract
The paper is focused on various aspects of application and justification of the standard vector algorithm for statistical simulation of polarized radiation transfer. Since the corresponding estimators may have an infinite variance, we construct an ‘algorithm of ℓ- fold polarization’ free from this drawback. Modifications of the local estimator of polarized radiation intensity and a dual representation of the mean square estimator of a functional are also considered, which extends the scope of studying the variance finiteness condition.
Published Online: 2013-06-01
Published in Print: 2013-06
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Masthead
- Mathematical problems of statistical modelling of polarized radiation transfer
- Vector estimators of the Monte Carlo method with a finite variance
- Numerical study of rainbows and glories in water-drop clouds
- Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes
- A finite gradient-projective solver for a quadratic programming problem
- A model of an underground gas producer
- The Editorial Board of the Journal with deep regret is announcing the death of Academician Gurii Ivanovich MARCHUK aged 87, on March 24, 2013
Artikel in diesem Heft
- Masthead
- Mathematical problems of statistical modelling of polarized radiation transfer
- Vector estimators of the Monte Carlo method with a finite variance
- Numerical study of rainbows and glories in water-drop clouds
- Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes
- A finite gradient-projective solver for a quadratic programming problem
- A model of an underground gas producer
- The Editorial Board of the Journal with deep regret is announcing the death of Academician Gurii Ivanovich MARCHUK aged 87, on March 24, 2013