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Volumn 460, Issue 2041, 2004, Pages 309-324

On Wong-Zakai approximations with δ-martingales

Author keywords

Martingales; Stochastic differential equations; Wiener process

Indexed keywords

AB INITIO CALCULATION; ANALYTIC METHOD; CONFERENCE PAPER; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; STOCHASTIC MODEL;

EID: 12144290840     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1244     Document Type: Conference Paper
Times cited : (22)

References (12)
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    • Almost sure approximation of Wong-Zakai type for stochastic partial differential equations
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    • (1995) Stock. Process. Applic. , vol.55 , pp. 329-358
    • Brzeźniak, Z.1    Flandoli, F.2
  • 3
    • 0000646385 scopus 로고
    • On the approximation of stochastic differential equations
    • Gyöngy, I. 1988 On the approximation of stochastic differential equations. Stochastics 23, 331-352.
    • (1988) Stochastics , vol.23 , pp. 331-352
    • Gyöngy, I.1
  • 5
    • 33645472196 scopus 로고
    • Natural solutions of stochastic differential equations
    • Krasnoselskii, M. A. & Pokrovskii, A. V. 1978 Natural solutions of stochastic differential equations. Sov. Math. Dokl. 19, 578-582.
    • (1978) Sov. Math. Dokl. , vol.19 , pp. 578-582
    • Krasnoselskii, M.A.1    Pokrovskii, A.V.2
  • 6
    • 0032347402 scopus 로고
    • Differential equations driven by rough signals
    • Lyons, T. 1988 Differential equations driven by rough signals. Rev. Mat. Iberoamer. 14, 215-310.
    • (1988) Rev. Mat. Iberoamer. , vol.14 , pp. 215-310
    • Lyons, T.1
  • 7
    • 0040955345 scopus 로고
    • p stability of symmetric stochastic differential equations
    • in Russian
    • p stability of symmetric stochastic differential equations. Liet. Mat. Rinkinys 26, 72-84 (in Russian).
    • (1986) Liet. Mat. Rinkinys , vol.26 , pp. 72-84
    • Mackevicius, V.1
  • 8
    • 85011454437 scopus 로고    scopus 로고
    • An introduction to numerical methods to stochastic differential equations
    • Platen, E. 1999 An introduction to numerical methods to stochastic differential equations. Acta Numerica 8, 197-246.
    • (1999) Acta Numerica , vol.8 , pp. 197-246
    • Platen, E.1
  • 10
    • 0002801174 scopus 로고
    • On the gap between deterministic and stochastic differential equations
    • Sussman, H. 1978 On the gap between deterministic and stochastic differential equations. Ann. Prob. 6, 19-41.
    • (1978) Ann. Prob. , vol.6 , pp. 19-41
    • Sussman, H.1
  • 11
    • 0001011978 scopus 로고    scopus 로고
    • Wong-Zakai approximations for stochastic differential equations
    • Twardowska, K. 1996 Wong-Zakai approximations for stochastic differential equations. Acta Appl. Math. 43, 317-359.
    • (1996) Acta Appl. Math. , vol.43 , pp. 317-359
    • Twardowska, K.1
  • 12
    • 0000575447 scopus 로고
    • On the convergence of ordinary integrals to stochastic integrals
    • Wong, E. & Zakai, M. 1965 On the convergence of ordinary integrals to stochastic integrals. Ann. Math. Statist. 36, 1560-1564.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 1560-1564
    • Wong, E.1    Zakai, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.