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Volumn 44, Issue 3, 2003, Pages 299-312

Stochastically stable one-step approximations of solutions of stochastic ordinary differential equations

Author keywords

Numerical methods; Stochastic ordinary differential equations

Indexed keywords

APPROXIMATION THEORY; NUMERICAL METHODS; RANDOM PROCESSES; RUNGE KUTTA METHODS;

EID: 0037297001     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00141-1     Document Type: Article
Times cited : (11)

References (10)
  • 2
    • 0034547253 scopus 로고    scopus 로고
    • Order conditions of stochastic Runge-Kutta methods by B-series
    • Burrage K., Burrage P.M. Order conditions of stochastic Runge-Kutta methods by B-series. SIAM J. Numer. Anal. 38:2000;1626-1646.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 1626-1646
    • Burrage, K.1    Burrage, P.M.2
  • 6
    • 0642303008 scopus 로고    scopus 로고
    • Rooted tree analysis of the order conditions of row-type scheme for stochastic differential equations
    • Komori Y., Mitsui T., Sugiura H. Rooted tree analysis of the order conditions of row-type scheme for stochastic differential equations. BIT. 37:(1):1997;43-66.
    • (1997) BIT , vol.37 , Issue.1 , pp. 43-66
    • Komori, Y.1    Mitsui, T.2    Sugiura, H.3
  • 7
    • 0012439159 scopus 로고
    • A theorem on the order of convergence of mean square approximations of solutions of systems of stochastic differential equations
    • Milstein G.N. A theorem on the order of convergence of mean square approximations of solutions of systems of stochastic differential equations. Theor. Probab. Appl. 32:1988;738-741.
    • (1988) Theor. Probab. Appl. , vol.32 , pp. 738-741
    • Milstein, G.N.1
  • 8
    • 0001533096 scopus 로고    scopus 로고
    • Balanced implicit methods for stiff stochastic systems
    • Milstein G.N., Platen E., Schurz H. Balanced implicit methods for stiff stochastic systems. SIAM J. Numer. Anal. 35:1998;1010-1019.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1010-1019
    • Milstein, G.N.1    Platen, E.2    Schurz, H.3
  • 9
    • 0026138294 scopus 로고
    • Asymptotically efficient Runge-Kutta methods for a class of Ito and Stratonovich equations
    • Newton N.J. Asymptotically efficient Runge-Kutta methods for a class of Ito and Stratonovich equations. SIAM J. Appl. Math. 51:1991;542-567.
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 542-567
    • Newton, N.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.