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Volumn 43, Issue 3, 2003, Pages 519-540

Solving Dirichlet problems numerically using the Feynman-Kac representation

Author keywords

Dirichlet; Monte Carlo; PDE; Stochastic differential equations

Indexed keywords


EID: 4043158407     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:BITN.0000007060.39437.76     Document Type: Article
Times cited : (21)

References (16)
  • 3
    • 0004188078 scopus 로고
    • (Eng. translation), Springer-Verlag
    • E. B. Dynkin, Markov Processes (Eng. translation), Springer-Verlag, 1965.
    • (1965) Markov Processes
    • Dynkin, E.B.1
  • 7
    • 0347535872 scopus 로고
    • An algorithm for random walks over small ellipsoids for solving the general Dirichlet problem
    • G. N. Milstein and N. F. Rybkina, An algorithm for random walks over small ellipsoids for solving the general Dirichlet problem, Comput. Math. Math. Phys., 33(5) (1993), pp. 631-647.
    • (1993) Comput. Math. Math. Phys. , vol.33 , Issue.5 , pp. 631-647
    • Milstein, G.N.1    Rybkina, N.F.2
  • 10
    • 0000187167 scopus 로고    scopus 로고
    • Weak approximation of a diffusion process in a bounded domain
    • G. N. Milstein, Weak approximation of a diffusion process in a bounded domain, Stochastics Stochastics Rep., 62 (1997), pp. 147-200.
    • (1997) Stochastics Stochastics Rep. , vol.62 , pp. 147-200
    • Milstein, G.N.1
  • 11
    • 0000743341 scopus 로고    scopus 로고
    • A General implicit splitting for numerical simulation of stochastic differential equations
    • Aug.
    • W. P. Petersen, A General implicit splitting for numerical simulation of stochastic differential equations, SIAM J. Numer. Anal., 35(4) (Aug. 1998), pp. 1439-1451.
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.4 , pp. 1439-1451
    • Petersen, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.