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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2011-12-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu962 |
| _version_ | 1811300014512668672 |
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| author | A. N. Kuznetsov I. A. Rytenkova A. S. Sipin |
| author_facet | A. N. Kuznetsov I. A. Rytenkova A. S. Sipin |
| author_sort | A. N. Kuznetsov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T06:44:53Z |
| format | Article |
| id | doaj.art-903839f957f9433d8e84725bfc4f73d2 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T06:44:53Z |
| publishDate | 2011-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-903839f957f9433d8e84725bfc4f73d22022-12-22T02:57:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-12-014(25)829210.14498/vsgtu962Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problemA. N. KuznetsovI. A. RytenkovaA. S. SipinIn 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.http://mi.mathnet.ru/eng/vsgtu962 |
| spellingShingle | A. N. Kuznetsov I. A. Rytenkova A. S. Sipin Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem |
| title_full | Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem |
| title_fullStr | Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem |
| title_full_unstemmed | Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem |
| title_short | Monte–Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem |
| title_sort | monte carlo estimations for powers of green operator and the first eigenvalue for dirichlet boundary value problem |
| url | http://mi.mathnet.ru/eng/vsgtu962 |
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