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Volumn 133, Issue 1-4, 1999, Pages 34-48

High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula

Author keywords

Differential; Magnus; Order; Runge Kutta; Stochastic

Indexed keywords


EID: 0039027595     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00097-4     Document Type: Article
Times cited : (58)

References (13)
  • 1
    • 0030286423 scopus 로고    scopus 로고
    • High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
    • Burrage K., Burrage P.M. High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Applied Numerical Mathematics. 22:1996;81-101.
    • (1996) Applied Numerical Mathematics , vol.22 , pp. 81-101
    • Burrage, K.1    Burrage, P.M.2
  • 2
    • 0041177009 scopus 로고    scopus 로고
    • Stochastic Runge-Kutta methods for non-commutative SDE systems
    • in press
    • K. Burrage, P.M. Burrage, Stochastic Runge-Kutta methods for non-commutative SDE systems, Applied Numerical Mathematics (1997) in press.
    • (1997) Applied Numerical Mathematics
    • Burrage, K.1    Burrage, P.M.2
  • 5
    • 51249166420 scopus 로고
    • Numerical integration of ordinary differential equations on manifolds
    • Crouch P.E., Grossman R. Numerical integration of ordinary differential equations on manifolds. Journal of Nonlinear Science. 3:1993;1-33.
    • (1993) Journal of Nonlinear Science , vol.3 , pp. 1-33
    • Crouch, P.E.1    Grossman, R.2
  • 9
    • 84940252991 scopus 로고
    • On the exponential solution of differential equations for a linear operator
    • Magnus W. On the exponential solution of differential equations for a linear operator. Communications on Pure and Applied Mathematics. 7:1954;649-673.
    • (1954) Communications on Pure and Applied Mathematics , vol.7 , pp. 649-673
    • Magnus, W.1
  • 10
    • 0003074014 scopus 로고
    • Continuous Markov processes and stochastic equations
    • Maruyama G. Continuous Markov processes and stochastic equations. Rend. Circolo Math. Palermo. 4:1955;48-90.
    • (1955) Rend. Circolo Math. Palermo , vol.4 , pp. 48-90
    • Maruyama, G.1
  • 11
    • 0001143041 scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix
    • Moler C.B., van Loan C.F. Nineteen dubious ways to compute the exponential of a matrix. SIAM Review. 20(4):1978;801-836.
    • (1978) SIAM Review , vol.20 , Issue.4 , pp. 801-836
    • Moler, C.B.1    Van Loan, C.F.2
  • 12
    • 0001040012 scopus 로고
    • Numerical treatment of stochastic differential equations
    • Rümelin W. Numerical treatment of stochastic differential equations. SIAM J. Numer. Anal. 19:1982;604-613.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 604-613
    • Rümelin, W.1
  • 13
    • 9644308648 scopus 로고
    • Stochastic methods in the dynamics of satellites
    • Udine
    • P. Sagirow, Stochastic methods in the dynamics of satellites, CISM Lecture Notes 57 Udine, 1970.
    • (1970) CISM Lecture Notes , vol.57
    • Sagirow, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.