Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem

In this paper, we examine the algorithm for computing the powers of a Green operator and the first eigenvalue for the Dirichlet boundary value problem using Monte–Carlo method. The efficiency of numerical realization of these algorithms is also discussed.

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Veröffentlicht in:Vestnik Samarskogo gosudarstvennogo tehničeskogo universiteta. Seriâ Fiziko-matematičeskie nauki 2011-12, Vol.4(25), p.82-92
Hauptverfasser: A. N. Kuznetsov, I. A. Rytenkova, A. S. Sipin
Format: Artikel
Sprache:eng ; rus
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Zusammenfassung:In this paper, we examine the algorithm for computing the powers of a Green operator and the first eigenvalue for the Dirichlet boundary value problem using Monte–Carlo method. The efficiency of numerical realization of these algorithms is also discussed.
ISSN:1991-8615
2310-7081
DOI:10.14498/vsgtu962