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Article information
2006 , Volume 11, Special issue, p.27-35
Voytishek A.V., Kablukova E.G., Gerasimova O.S.
Comparison of various modifications of the randomization of the successive approximation method
Numerical algorithms for approximation of a solution of an integral equation of the second kind are investigated. Randomization of finite and infinite segments of Newmann series is used. Possibilities of exploitation of the homogeneous Markov chain segments of finite and random length or effective discrete-stochastic methods of numerical integration are examined. A test example is provided for which the displaced deterministic-stochastic estimates of the solution are advantageous.
[full text] Author(s):
Voytishek Anton Vaclavovich
Dr. , Professor
Position: Leading research officer
Office: Institute of Numerical Mathematics and Mathematical Geophysics of Siberian Division of RAS
Address: 630090, Russia, Novosibirsk, prospect Akademika Lavrentyeva, 6
Phone Office: (383)3307721
E-mail: vav@osmf.sscc.ru
SPIN-code: 7494-4885Kablukova Evgeniya Gennadievna
PhD.
Office: Institute of Computational Mathematics and Mathematical Geophysics of SB RAS
Address: 630090, Russia, Novosibirsk, 6, Ac. Lavrentieva aven.
Phone Office: (383) 3307721
E-mail: Jane_K@ngs.ru
SPIN-code: 3162-7640Gerasimova Olga Sergeevna
Position: Student
Office: Novosibirsk State University
Address: Russia, Novosibirsk, Novosibirsk, 6, Ac. Lavrentieva aven.
E-mail: gos@gorodok.net
Bibliography link:
Voytishek A.V., Kablukova E.G., Gerasimova O.S. Comparison of various modifications of the randomization of the successive approximation method // Computational technologies. 2006. V. 11. Special issue. P. 27-35
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