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Volumn 89, Issue 6, 2012, Pages 760-779

Five-stage Milstein methods for SDEs

Author keywords

explicit method; mean convergence; mean square convergence; stability; stochastic differential equation

Indexed keywords


EID: 84859197059     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160.2012.657629     Document Type: Article
Times cited : (7)

References (12)
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    • Buckwar, E., and, Sickenberger, T. 2011. A comparative linear mean-square stability analysis of Maruyama-and Milstein-type methods. Math. Comput. Simulation, 81: 1110-1127.
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    • Buckwar, E.1    Sickenberger, T.2
  • 2
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    • Higham, D. J. 2001. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev, 43: 525-546. (Pubitemid 32991214)
    • (2001) SIAM Review , vol.43 , Issue.3 , pp. 525-546
    • Higham, D.J.1
  • 5
    • 0001533096 scopus 로고    scopus 로고
    • Balanced implicit methods for stiff stochastic systems
    • Milstein, G. N., Platen, E., and, Schurz, H. 1998. Balanced implicit methods for stiff stochastic systems. SIAM J. Numer. Anal, 35: 1010-1019. (Pubitemid 128466394)
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , Issue.3 , pp. 1010-1019
    • Milstein, G.N.1    Platen, E.2    Schurz, H.3
  • 7
    • 85011454437 scopus 로고    scopus 로고
    • An introduction to numerical methods for stochastic differential equations
    • Platen, E. 1999. An introduction to numerical methods for stochastic differential equations. Acta Numer, 8: 197-246.
    • (1999) Acta Numer , vol.8 , pp. 197-246
    • Platen, E.1
  • 8
    • 0000743341 scopus 로고    scopus 로고
    • A general implicit splitting for stabilizing numerical simulations of itô stochastic differential equations
    • Petersen, W. P. 1998. A general implicit splitting for stabilizing numerical simulations of It stochastic differential equations. SIAM. J. Numer. Anal, 35: 1439-1451. (Pubitemid 128464166)
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , Issue.4 , pp. 1439-1451
    • Petersen, W.P.1
  • 9
    • 0000007761 scopus 로고    scopus 로고
    • Stability analysis of numerical schemes for Stochastic differential equations
    • Saito, Y., and, Mitsui, T. 1996. Stability analysis of numerical schemes for stochastic differential equations. SIAM J. Numer. Anal, 33: 2254-2267. (Pubitemid 126431766)
    • (1996) SIAM Journal on Numerical Analysis , vol.33 , Issue.6 , pp. 2254-2267
    • Saito, Y.1    Mitsui, T.2
  • 10
    • 84876679257 scopus 로고    scopus 로고
    • Split-step forward Milstein method for SDEs
    • press
    • Singh, S. Split-step forward Milstein method for SDEs. Int. J. Numer. Anal. Model,. (in press)
    • Int. J. Numer. Anal. Model
    • Singh, S.1
  • 11
    • 53449093023 scopus 로고    scopus 로고
    • Three-stage stochastic Runge-Kutta methods for stochastic differential equations
    • Wang, P. 2008. Three-stage stochastic Runge-Kutta methods for stochastic differential equations. J. Comput. Appl. Math, 222: 324-332.
    • (2008) J. Comput. Appl. Math , vol.222 , pp. 324-332
    • Wang, P.1
  • 12
    • 73449111886 scopus 로고    scopus 로고
    • Split-step forward methods for stochastic differential equations
    • Wang, P., and, Li, Y. 2010. Split-step forward methods for stochastic differential equations. J. Comput. Appl. Math, 233: 2641-2651.
    • (2010) J. Comput. Appl. Math , vol.233 , pp. 2641-2651
    • Wang, P.1    Li, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.