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 Zh. Vychisl. Mat. Mat. Fiz., 1998, Volume 38, Number 1, Pages 99–106 (Mi zvmmf1965)

Solution of the Dirichlet difference problem for the multidimensional Helmholtz equation by the Monte Carlo method

G. A. Mikhailov, A. F. Cheshkova

Computer Centre of Russian Academy of Sciences, Siberian Branch, Novosibirsk

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English version:
Computational Mathematics and Mathematical Physics, 1998, 38:1, 95–102

Bibliographic databases:
UDC: 519.632.4

Citation: G. A. Mikhailov, A. F. Cheshkova, “Solution of the Dirichlet difference problem for the multidimensional Helmholtz equation by the Monte Carlo method”, Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998), 99–106; Comput. Math. Math. Phys., 38:1 (1998), 95–102

Citation in format AMSBIB
\Bibitem{MikChe98} \by G.~A.~Mikhailov, A.~F.~Cheshkova \paper Solution of the Dirichlet difference problem for the multidimensional Helmholtz equation by the Monte Carlo method \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 1998 \vol 38 \issue 1 \pages 99--106 \mathnet{http://mi.mathnet.ru/zvmmf1965} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1604227} \zmath{https://zbmath.org/?q=an:0951.65002} \transl \jour Comput. Math. Math. Phys. \yr 1998 \vol 38 \issue 1 \pages 95--102 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Makarov R.N., “Monte Carlo methods for solving boundary value problems of the second and third kinds”, Russian J Numer Anal Math Modelling, 13:2 (1998), 117–131
2. Mikhailov G.A., “New Monte Carlo methods for solving boundary value problems (and related topics)”, Enumath 97 - 2nd European Conference on Numerical Mathematics and Advanced Applications, 1998, 69–81
3. Menchtchikov B.V., “Monte Carlo method for solving boundary value problems for a diffusion equation with complex parameter. The Fourier transform in boundary value problems for a heat conduction equation”, Russian J Numer Anal Math Modelling, 15:6 (2000), 489–506
4. Mikhailov G.A., Lukinov V.L., “The solution of the Dirichlet problem for a difference biharmonic equation by the Monte Carlo method”, Doklady Mathematics, 64:1 (2001), 18–21
5. E. V. Shkarupa, “Error estimation and optimization of the functional algorithms of a random walk on a grid which are applied to solving the Dirichlet problem for the Helmholtz equation”, Siberian Math. J., 44:5 (2003), 908–925
6. E. V. Shkarupa, “Funktsionalnyi algoritm bluzhdaniya po reshetke dlya bigarmonicheskogo uravneniya. Otsenka pogreshnosti i optimizatsiya”, Sib. zhurn. vychisl. matem., 8:2 (2005), 163–176
7. M. K. Kerimov, “Gennadii Alekseevich Mikhailov (on the occasion of his seventieth birthday)”, Comput. Math. Math. Phys., 45:9 (2005), 1477–1482
8. E. V. Shkarupa, “Comparison of approaches to optimization of functional statistical modeling algorithms in the metric of the space $\mathbf C$”, Num. Anal. Appl., 8:2 (2015), 182–194
9. Khalilov E.H., “Substantiation of the Collocation Method For One Class of Systems of Integral Equations”, Ukr. Math. J., 69:6 (2017), 955–969
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