Geodesic
Statistical estimates for the degrees of Green operator
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 114-123

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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. 
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     author = {A. N. Kuznetsov and A. S. Sipin},
     title = {Statistical estimates for the degrees of {Green} operator},
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A. N. Kuznetsov; A. S. Sipin. Statistical estimates for the degrees of Green operator. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 114-123. http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a12/