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The Chebyshev-Markov-Krein algorithm for analyzing microphysical processes in hail clouds

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Abstract

A modified Chebyshev-Markov-Krein algorithm is proposed for controlling processes governed by kinetic equations.

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References

  1. M. G. Krein and A. A. Nudel’man, The Markov Moment Problem and Extremal Problems (Nauka, Moscow, 1973; Am. Math. Soc., Providence, R.I., 1977).

    Google Scholar 

  2. Z. S. Gaeva and A. A. Shananin, “Markov-Chebyshev Problem and Analysis of Galerkin Approximations in an Aggregation Problem,” Mat. Model. 7(9), 35–54 (1995).

    MATH  MathSciNet  Google Scholar 

  3. Z. S. Gaeva and A. A. Shananin, “Numerical Method for the Control of Hail Cloud Microstructure,” Mat. Model. 16(12), 69–84 (2004).

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  4. B. A. Ashabokov, Z. S. Gaeva, and Kh. Kh. Kalazhokov, “Numerical Model for the Control of Hail Cloud Microstructure,” Proceedings of 11th All-Union Symposium on Mathematical Modeling of Atmospheric Convection and Artificial Impact on Convective Clouds, Dolgoprudnyi, May 26–29, 1986 (Gidrometeoizdat, Moscow, 1989), pp. 66–72.

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  5. A. A. Lyubushin and F. L. Chernous’ko, “Method of Successive Approximations for Calculating Optimal Control,” Tekh. Kibern., No. 2, 147–159 (1983).

  6. Z. S. Gaeva, “On Extensions of Chebyshev’s Inequality,” Zh. Vychisl. Mat. Mat. Fiz. 45, 17–26 (2005) [Comput. Math. Math. Phys. 45, 13–22 (2005)].

    MATH  MathSciNet  Google Scholar 

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Correspondence to Z. S. Gaeva.

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Original Russian Text © Z.S. Gaeva, A.A. Shananin, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 9, pp. 1616–1635.

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Gaeva, Z.S., Shananin, A.A. The Chebyshev-Markov-Krein algorithm for analyzing microphysical processes in hail clouds. Comput. Math. and Math. Phys. 47, 1551–1569 (2007). https://doi.org/10.1134/S0965542507090163

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  • DOI: https://doi.org/10.1134/S0965542507090163

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