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Volumn 205, Issue 2, 2007, Pages 912-922

Improved linear multi-step methods for stochastic ordinary differential equations

Author keywords

Improved multi step methods; Mixed classical stochastic integrals; Small noise; Stochastic linear multi step methods

Indexed keywords

ADDITIVE NOISE; COMPUTER SIMULATION; INTEGRAL EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 34248208111     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.03.038     Document Type: Article
Times cited : (15)

References (13)
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    • On two-step schemes for SDEs with small noise
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    • Buckwar, E.1    Winkler, R.2
  • 4
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  • 5
    • 0032182723 scopus 로고    scopus 로고
    • General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems
    • Burrage K., and Burrage P.M. General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems. Appl. Numer. Math. 28 2-4 (1998) 161-177
    • (1998) Appl. Numer. Math. , vol.28 , Issue.2-4 , pp. 161-177
    • Burrage, K.1    Burrage, P.M.2
  • 6
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    • Step size control in the numerical solution of stochastic differential equations
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    • Mauthner, S.1
  • 9
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    • G. Milstein, Numerical Integration of Stochastic Differential Equations, Kluwer, 1995, translation from the Russian original of 1988.
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    • 0031173522 scopus 로고    scopus 로고
    • Mean-square numerical methods for stochastic differential equations with small noise
    • Milstein G., and Tretyakov M. Mean-square numerical methods for stochastic differential equations with small noise. SIAM J. Sci. Comput. 18 (1997) 1067-1087
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1067-1087
    • Milstein, G.1    Tretyakov, M.2
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    • T. Sickenberger, Mean-square convergence of stochastic multi-step methods with variable step-size, Preprint 2005-20, Institut für Mathematik, Humboldt-Universität Berlin, 2005.
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    • Stochastic differential algebraic equations of index 1 and applications in circuit simulation
    • Winkler R. Stochastic differential algebraic equations of index 1 and applications in circuit simulation. J. Comput. Appl. Math. 157 2 (2003) 477-505
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    • Winkler, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.