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Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Milstein, G. N. | en |
dc.contributor.author | Tretyakov, M. V. | en |
dc.date.accessioned | 2022-05-12T08:15:11Z | - |
dc.date.available | 2022-05-12T08:15:11Z | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Milstein G. N. The Simplest Random Walks for the Dirichlet Problem / G. N. Milstein, M. V. Tretyakov // Theory of Probability and its Applications. — 2003. — Vol. 47. — Iss. 1. — P. 53-68. | en |
dc.identifier.issn | 0040-585X | - |
dc.identifier.other | All Open Access, Green | 3 |
dc.identifier.uri | http://elar.urfu.ru/handle/10995/111232 | - |
dc.description.abstract | The Dirichlet problem for both parabolic and elliptic equations is considered. A solution of the corresponding characteristic system of stochastic differential equations is approximated in the weak sense by a Markov chain. If a state of the chain comes close to the boundary of the domain in which the problem is considered, then in the next step the chain either stops on the boundary or goes inside the domain with some probability due to an interpolation law. An approximate solution of the Dirichlet problem has the form of expectation of a functional of the chain trajectory. This makes it possible to use the Monte Carlo technique. The proposed methods are the simplest ones because they are based on the weak Euler approximation and linear interpolation. Convergence theorems, which give accuracy orders of the methods, are proved. Results of some numerical tests are presented. | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | en | en |
dc.publisher | Society for Industrial & Applied Mathematics (SIAM) | en |
dc.rights | info:eu-repo/semantics/openAccess | en |
dc.source | Theory Probab. Appl. | 2 |
dc.source | Theory of Probability and its Applications | en |
dc.subject | DIRICHLET PROBLEM FOR PARABOLIC AND ELLIPTIC EQUATIONS | en |
dc.subject | MARKOV CHAINS | en |
dc.subject | PROBABILISTIC REPRESENTATIONS | en |
dc.subject | RANDOM WALKS | en |
dc.subject | WEAK APPROXIMATION OF SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS | en |
dc.title | The Simplest Random Walks for the Dirichlet Problem | en |
dc.type | Article | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | info:eu-repo/semantics/submittedVersion | en |
dc.identifier.scopus | 0037265529 | - |
local.contributor.employee | Milstein, G.N., Department of Mathematics, Ural State University, Lenin St. 51, 620083 Ekaterinburg, Russian Federation, Weierstra-Inst. Angew. Anal./S., Mohrenstr. 39, D-10117 Berlin, Germany; Tretyakov, M.V., Inst. of Mathematics and Mechanics, Russian Academy of Sciences, S. Kovalevskaya St. 16, 620219 Ekaterinburg, Russian Federation, Department of Mathematics, University of Leicester, Leicester LE1 7RH, United Kingdom | en |
local.description.firstpage | 53 | - |
local.description.lastpage | 68 | - |
local.issue | 1 | - |
local.volume | 47 | - |
local.contributor.department | Department of Mathematics, Ural State University, Lenin St. 51, 620083 Ekaterinburg, Russian Federation; Weierstra-Inst. Angew. Anal./S., Mohrenstr. 39, D-10117 Berlin, Germany; Inst. of Mathematics and Mechanics, Russian Academy of Sciences, S. Kovalevskaya St. 16, 620219 Ekaterinburg, Russian Federation; Department of Mathematics, University of Leicester, Leicester LE1 7RH, United Kingdom | en |
local.identifier.pure | 43815239 | - |
local.identifier.eid | 2-s2.0-0037265529 | - |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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2-s2.0-0037265529.pdf | 207,42 kB | Adobe PDF | Просмотреть/Открыть |
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