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Article information
2008 , Volume 13, Special issue, p.89-93
Lukinov V.L.
Extension of a probabilistic representation for the resolvent within the Dirichlet problem for the Helmholtz equation
A problem of construction of statistical methods for solution of the Dirichlet problem for the Helmholtz equation when the spectral parameter is close or greater then the first eugenvalue of the Laplace operator is considered. The corresponding estimates and a probabilistic representation of solution are constructed by shifting the spectral parameter.
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Keywords: Helmgoltz equation, boundary-value problem, probabilistic representation, random walk inside the domain, analytical extension
Author(s):
Lukinov V.L.
PhD.
Position: Research Scientist
Office: Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Address: Russia, Novosibirsk
Phone Office: (383) 330 94 67
E-mail: Vitaliy.Lukinov@ngs.ru
Bibliography link:
Lukinov V.L. Extension of a probabilistic representation for the resolvent within the Dirichlet problem for the Helmholtz equation // Computational technologies. 2008. V. 13. Special issue 4. P. 89-93
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