We derive theoretical and numerical estimates for the spectral radius of a matrix integral operator specifying the estimate variance of radiation polarization by the Monte Carlo method. It is shown that for real problems of aerosol scattering the variances of these estimates are finite with a high degree of reliability.
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Russian Journal of Numerical Analysis and Mathematical Modelling
Editor-in-Chief: Dymnikov, Valentin P. / Kuznetsov, Yuri
Managing Editor: Vassilevski, Yuri V.
Editorial Board: Agoshkov, Valeri I. / Amosov, Andrey A. / Kaporin, Igor E. / Kobelkov, Georgy M. / Mikhailov, Gennady A. / Repin, Sergey I. / Shaidurov, Vladimir V. / Shokin, Yuri I. / Tyrtyshnikov, Eugene E.
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- On 80th anniversary of Gurii I. Marchuk
- Optimal control in heterogeneous domain decomposition methods
- Computational aspects of time-lag models of Marchuk type that arise in immunology
- Matrix analysis of mixed finite element methods for the diffusion equation. I
- Variable time steps optimization of -stable Crank–Nicolson method
- Study of polarization estimates variance by the Monte Carlo method
Study of polarization estimates variance by the Monte Carlo method
G. A. Mikhailov / A. S. Chimaeva
Published Online: | DOI: https://doi.org/10.1515/1569398054308621
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Published in Print: 2005-06-01
Citation Information: Russian Journal of Numerical Analysis and Mathematical Modelling rnam, Volume 20, Issue 3, Pages 305–317, ISSN (Online) 1569-3988, ISSN (Print) 0927-6467, DOI: https://doi.org/10.1515/1569398054308621.
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- On 80th anniversary of Gurii I. Marchuk
- Optimal control in heterogeneous domain decomposition methods
- Computational aspects of time-lag models of Marchuk type that arise in immunology
- Matrix analysis of mixed finite element methods for the diffusion equation. I
- Variable time steps optimization of Lω -stable Crank–Nicolson method
- Study of polarization estimates variance by the Monte Carlo method
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