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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2009 Issue 2(19), Pages 114–123 (Mi vsgtu708)

This article is cited in 1 paper

Mathematical Modeling

Statistical estimates for the degrees of Green operator

A. N. Kuznetsov, A. S. Sipin

Dept. of Applied Mathematics, Vologda State Pedagogical University, Vologda

Abstract: In this paper we examine known and some new algorithms for calculation of degrees of Green operator using Monte Carlo methods. Statistical estimations used for solving Dirichlet problem for Helmholtz equation with complex parameter. The efficiency of numerical realization of these algorithms is also considered.

Keywords: Monte Carlo method, Helmholtz equation, analytical continuation, Green function, Green operator.

UDC: 519.245+519.632.4

MSC: 65С05, 35J05

Original article submitted 19/VII/2009
revision submitted – 16/VIII/2009

DOI: 10.14498/vsgtu708



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