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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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CALCULATION OF MATHEMATICAL EXPECTATIONS OF RANDOM FUNCTIONALS

Abstract

The approximation error of the expectation of a class of random functionals of a Gaussian process and the approximation error of solution of the Burgers equation based on Gaussian chaos development are investigated.

About the Authors

E. A. Airyan
Joint Institute for Nuclear Research, Dubna
Russian Federation


A. D. Egorov
Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
Belarus


L. A. Sevastiyanov
Peoples’ Friendship University of Russia, Moscow
Russian Federation


References

1. Егоров А. Д., Соболевский П. И., Янович Л. А. Приближенные методы вычисления континуальных интегралов. Минск, 1985.

2. Егоров А. Д., Жидков Е. П., Лобанов Ю. Ю. Введение в теорию и приложения функционального интегрирования. М., 2006.

3. Egorov Л. D. // Math. Modelling and computational physics. Book of Abstracts of Internet. Conf. Dubna, July 8-12, 2013. P. 75-76.

4. Wuan L. Wiener chaos expansion and numerical solutions of stochastic partial differential equations (Thesis). California Institute of Technology, 2001.


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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)