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Volumn 10, Issue 2, 2000, Pages 616-633

Step size control for the uniform approximation of systems of stochastic differential equations with additive noise

Author keywords

Adaption; Asymptotic optimality; Pathwise approximation; Step size control; Systems of stochastic differential equations

Indexed keywords


EID: 0039003955     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1019487358     Document Type: Review
Times cited : (26)

References (11)
  • 2
    • 0007470214 scopus 로고    scopus 로고
    • Exact convergence rate of the Euler-Maruyama scheme, with application to sampling design
    • CAMBANIS, S. and Hu, Y. (1996). Exact convergence rate of the Euler-Maruyama scheme, with application to sampling design. Stochastics Stochastics Rep. 59 211-240.
    • (1996) Stochastics Stochastics Rep. , vol.59 , pp. 211-240
    • Cambanis, S.1    Hu, Y.2
  • 4
    • 0031258411 scopus 로고    scopus 로고
    • Variable step size control in the numerical solution of stochastic differential equations
    • GAINES, J. G. and LYONS, T. J. (1997). Variable step size control in the numerical solution of stochastic differential equations. SIAM J. Appl. Math. 57 1455-1484.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1455-1484
    • Gaines, J.G.1    Lyons, T.J.2
  • 5
    • 0007378144 scopus 로고    scopus 로고
    • Optimal approximation of stochastic differential equations by adaptive step-size control
    • To appear
    • HOFMANN, N., MÜLLER-GRONBACH, T. and RITTER, K. (1999a). Optimal approximation of stochastic differential equations by adaptive step-size control. Math. Comp. To appear.
    • (1999) Math. Comp.
    • Hofmann, N.1    Müller-Gronbach, T.2    Ritter, K.3
  • 9
    • 0000126590 scopus 로고
    • An efficient approximation for stochastic differential equations on the partition of symmetrical first passage times
    • NEWTON, N. J. (1990). An efficient approximation for stochastic differential equations on the partition of symmetrical first passage times. Stochastics Stochastics Rep. 29 227-258.
    • (1990) Stochastics Stochastics Rep. , vol.29 , pp. 227-258
    • Newton, N.J.1
  • 10
    • 0001242202 scopus 로고
    • Approximation and optimization on the Wiener space
    • RITTER, K. (1990). Approximation and optimization on the Wiener space. J. Complexity 6 337-364.
    • (1990) J. Complexity , vol.6 , pp. 337-364
    • Ritter, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.