메뉴 건너뛰기




Volumn 15, Issue 2, 2006, Pages 287-299

Approximate solution of reflecting Brownian motion using penalty method and numerical application to imperfect elastic barrier

(3)  Kanagawa, S a   Saisho, Y a   Uesu, H a  

a NONE

Author keywords

Euler Maruyama approximation; Imperfect elastic barrier; Monte Carlo simulation; Pseudo random numbers; Reflecting Brownian motion; Stochastic differential equation

Indexed keywords


EID: 33646367188     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (17)
  • 1
    • 29244472209 scopus 로고
    • Numerical pathwise approximation of stochastic differential equations
    • Ecole Nationale des Ponts et Chaussees, Paris
    • O. Faure, Numerical pathwise approximation of stochastic differential equations, Pré-publication of LAMM, Ecole Nationale des Ponts et Chaussees, Paris (1990).
    • (1990) Pré-publication of LAMM
    • Faure, O.1
  • 3
    • 0041498076 scopus 로고
    • On the rate of convergence for Maruyama's approximate solutions of stochastic differential equations
    • S. Kanagawa, On the rate of convergence for Maruyama's approximate solutions of stochastic differential equations, Yokohama Math. J., 36 (1988), 79-85.
    • (1988) Yokohama Math. J. , vol.36 , pp. 79-85
    • Kanagawa, S.1
  • 4
    • 84972496400 scopus 로고
    • The rate of convergence for approximate solutions of stochastic differential equations
    • S. Kanagawa, The rate of convergence for approximate solutions of stochastic differential equations, Tokyo J. Math., 12 (1989), 33-48.
    • (1989) Tokyo J. Math. , vol.12 , pp. 33-48
    • Kanagawa, S.1
  • 6
    • 28044468447 scopus 로고    scopus 로고
    • Some remarks on strong approximation of reflecting brownian motion using penalty method
    • Atlanta, U.S.A.
    • S. Kanagawa, Some Remarks on Strong Approximation of Reflecting Brownian Motion Using Penalty Method, Proceedings of Neural, Parallel & Scientific Computations, 2 (2002), 63-70, Atlanta, U.S.A.
    • (2002) Proceedings of Neural, Parallel & Scientific Computations , vol.2 , pp. 63-70
    • Kanagawa, S.1
  • 7
    • 10244230650 scopus 로고    scopus 로고
    • Strong approximation of reflecting brownian motion using penalty method and its application to computer simulation
    • S. Kanagawa and Y. Saisho, Strong Approximation of Reflecting Brownian Motion Using Penalty Method and its Application to Computer Simulation, Monte Carlo Methods Appl., 6 (2000), 105-114.
    • (2000) Monte Carlo Methods Appl. , vol.6 , pp. 105-114
    • Kanagawa, S.1    Saisho, Y.2
  • 8
    • 40649088774 scopus 로고    scopus 로고
    • Numerical solutions of stochastic differential equations and their applications, to appear
    • S. Kanagawa and S. Ogawa, Numerical solutions of stochastic differential equations and their applications, to appear in Sugaku Expositions, A.M.S., 18 (2005).
    • (2005) Sugaku Expositions, A.M.S. , vol.18
    • Kanagawa, S.1    Ogawa, S.2
  • 9
    • 84990576543 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions
    • P.L. Lions and A.S. Sznitman, Stochastic differential equations with reflecting boundary conditions, Comm. Pure Appl. Math., 37 (1981), 511-537.
    • (1981) Comm. Pure Appl. Math. , vol.37 , pp. 511-537
    • Lions, P.L.1    Sznitman, A.S.2
  • 10
    • 0003074014 scopus 로고
    • Continuous Markov processes and stochastic equations
    • G. Maruyama, Continuous Markov processes and stochastic equations, Rend Circ. Mat. Palermo, 4 (1955), 48-90.
    • (1955) Rend Circ. Mat. Palermo , vol.4 , pp. 48-90
    • Maruyama, G.1
  • 11
    • 0001779250 scopus 로고
    • Almost sure invariance principles for weakly dependent random variables
    • W. Philipp and W. Stout, Almost Sure Invariance Principles for Weakly Dependent Random Variables, Memoir A.M.S., 161 (1975).
    • (1975) Memoir A.M.S. , vol.161
    • Philipp, W.1    Stout, W.2
  • 12
    • 0000605830 scopus 로고
    • Stochastic differential equations for multi-dimensional domain with reflecting boundary
    • Y. Saisho, Stochastic differential equations for multi-dimensional domain with reflecting boundary, Probab. Theory Rel. Fields, 74 (1987), 455-477.
    • (1987) Probab. Theory Rel. Fields , vol.74 , pp. 455-477
    • Saisho, Y.1
  • 13
    • 84972560306 scopus 로고
    • Stochastic differential equations for mutually reflecting Brownian balls
    • Y. Saisho and H. Tanaka, Stochastic differential equations for mutually reflecting Brownian balls, Osaka J. Math. 23 (1986), 725-740.
    • (1986) Osaka J. Math. , vol.23 , pp. 725-740
    • Saisho, Y.1    Tanaka, H.2
  • 14
    • 84972508367 scopus 로고
    • On the symmetry of a reflecting Brownian motion defined by Skorohod's equation for a multi-dimensional domain
    • Y. Saisho and H. Tanaka, On the symmetry of a reflecting Brownian motion defined by Skorohod's equation for a multi-dimensional domain, Tokyo J. Math. 10 (1987), 419-435.
    • (1987) Tokyo J. Math. , vol.10 , pp. 419-435
    • Saisho, Y.1    Tanaka, H.2
  • 15
    • 0042608558 scopus 로고    scopus 로고
    • Numerical analysis of SDEs without tears
    • D. Kannan and V. Lakshmikantham, eds., Marcel Dekker, Basel
    • H. Schurz, Numerical analysis of SDEs without tears, Handbook of Stochastic Analysis and Applications, D. Kannan and V. Lakshmikantham, eds., 237-359, Marcel Dekker, Basel, 2002.
    • (2002) Handbook of Stochastic Analysis and Applications , pp. 237-359
    • Schurz, H.1
  • 16
    • 84972526612 scopus 로고
    • Stochastic differential equations with reflecting boundary condition in convex regions
    • H. Tanaka, Stochastic differential equations with reflecting boundary condition in convex regions, Hiroshima Math. J., 9 (1979), 163-177.
    • (1979) Hiroshima Math. J. , vol.9 , pp. 163-177
    • Tanaka, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.