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Volumn 212, Issue 2, 2008, Pages 300-319

Mean-square convergence of stochastic multi-step methods with variable step-size

Author keywords

Adaptive methods; Mean square consistency; Mean square convergence; Mean square numerical stability; Small noise; Stochastic linear multi step methods; Two step Maruyama methods

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS;

EID: 37249089663     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.12.014     Document Type: Article
Times cited : (12)

References (13)
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    • Baker, C.T.H.1    Buckwar, E.2
  • 2
    • 33646386596 scopus 로고    scopus 로고
    • Multi-step methods for SDEs and their application to problems with small noise
    • Buckwar E., and Winkler R. Multi-step methods for SDEs and their application to problems with small noise. SIAM J. Numer. Anal. 44 2 (2006) 779-803
    • (2006) SIAM J. Numer. Anal. , vol.44 , Issue.2 , pp. 779-803
    • Buckwar, E.1    Winkler, R.2
  • 3
    • 0038408630 scopus 로고    scopus 로고
    • A variable stepsize implementation for stochastic differential equations
    • Burrage P.M., and Burrage K. A variable stepsize implementation for stochastic differential equations. SIAM J. Sci. Comput. 24 (2002) 848-864
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 848-864
    • Burrage, P.M.1    Burrage, K.2
  • 4
    • 37249071001 scopus 로고    scopus 로고
    • G. Denk, R. Winkler, Modeling and simulation of transient noise in circuit simulation, Math. Comput. Modelling Dyn. Syst. to appear.
  • 6
    • 37249051943 scopus 로고    scopus 로고
    • S. Mauthner, Schrittweitensteuerung bei der numerischen Lösung stochastischer Differentialgleichungen, Ph.D. Thesis, Technische Universität Darmstadt, 1999.
  • 8
    • 0031173522 scopus 로고    scopus 로고
    • Mean-square numerical methods for stochastic differential equations with small noise
    • Milstein G.N., and Tretyakov M.V. 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
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  • 10
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    • A new numerical method for SDEs and its application in circuit simulation
    • Penski C. A new numerical method for SDEs and its application in circuit simulation. J. Comput. Appl. Math. 115 1-2 (2000) 461-470
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    • Penski, C.1
  • 11
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    • R. Plato, Numerische Mathematik kompakt. Grundlagenwissen für Studium und Praxis, Vieweg, Braunschweig, 2000.
  • 12
    • 37249061344 scopus 로고    scopus 로고
    • T. Sickenberger, R. Winkler, Efficient transient noise analysis in circuit simulation, in: Proceedings of the GAMM Annual Meeting 2006, Berlin, Proc. Appl. Math. Mech. 6 (1) (2006) 55-58.
  • 13
    • 0041519194 scopus 로고    scopus 로고
    • 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 (2003) 477-505
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    • Winkler, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.