메뉴 건너뛰기




Volumn 48, Issue 4, 1996, Pages 631-644

Local linearization method for the numerical solution of stochastic differential equations

Author keywords

Local linearization; Numerical solution; Stochastic differential equations

Indexed keywords


EID: 0000338219     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00052324     Document Type: Article
Times cited : (65)

References (18)
  • 5
    • 0024807350 scopus 로고
    • A survey of numerical methods for stochastic differential equations
    • Kloeden, P. E. and Platen, E. (1989). A survey of numerical methods for stochastic differential equations, Stochastic Hydrology & Hydraulics, 3, 155-178.
    • (1989) Stochastic Hydrology & Hydraulics , vol.3 , pp. 155-178
    • Kloeden, P.E.1    Platen, E.2
  • 8
    • 0003074014 scopus 로고
    • Continuous Markov processes and stochastic equations
    • Maruyama, G. (1955). Continuous Markov processes and stochastic equations, Rend. Circ. Mat. Palermo, 4, 48-90.
    • (1955) Rend. Circ. Mat. Palermo , vol.4 , pp. 48-90
    • Maruyama, G.1
  • 10
    • 0000532550 scopus 로고
    • Approximate integration of stochastic differential equations
    • Milshtein, G. N. (1974). Approximate integration of stochastic differential equations, Theory Probab. Appl., 19, 557-562.
    • (1974) Theory Probab. Appl. , vol.19 , pp. 557-562
    • Milshtein, G.N.1
  • 11
    • 0026138294 scopus 로고
    • Asymptotically efficient Runge-Kutta methods for a class of Ito and Stratonovich equations
    • Newton, N. J. (1991). Asymptotically efficient Runge-Kutta methods for a class of Ito and Stratonovich equations, SIAM J. Appl. Math., 52, 542-567.
    • (1991) SIAM J. Appl. Math. , vol.52 , pp. 542-567
    • Newton, N.J.1
  • 12
    • 70350303608 scopus 로고
    • Nonlinear time series models and dynamical systems
    • eds. E. J. Hannan, P. R. Krishnaiah and M. M. Rao, North Holland, Amsterdam
    • Ozaki, T. (1985a). Nonlinear time series models and dynamical systems (eds. E. J. Hannan, P. R. Krishnaiah and M. M. Rao), Handbook of Statistics 5, North Holland, Amsterdam.
    • (1985) Handbook of Statistics 5
    • Ozaki, T.1
  • 13
    • 0022113702 scopus 로고
    • Statistical identification of storage models with application to stochastic hydrology
    • Ozaki, T. (1985b). Statistical identification of storage models with application to stochastic hydrology, Water Resource Bull., 21, 663-675.
    • (1985) Water Resource Bull. , vol.21 , pp. 663-675
    • Ozaki, T.1
  • 14
    • 0002913686 scopus 로고
    • A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach
    • Ozaki, T. (1992). A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: a local linearization approach, Statistica Sinica, 2, 113-135.
    • (1992) Statistica Sinica , vol.2 , pp. 113-135
    • Ozaki, T.1
  • 15
    • 2742562591 scopus 로고
    • Personal communication
    • Ozaki, T. (1994). Personal communication.
    • (1994)
    • Ozaki, T.1
  • 17
    • 0009576144 scopus 로고
    • Simulation of stochastic differential equations
    • Saito, Y. and Mitsui, T. (1993). Simulation of stochastic differential equations, Ann. Inst. Statist. Math., 45, 419-432.
    • (1993) Ann. Inst. Statist. Math. , vol.45 , pp. 419-432
    • Saito, Y.1    Mitsui, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.