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Volumn 168, Issue 1, 2005, Pages 65-75

Numerical methods for some nonlinear stochastic differential equations

Author keywords

Euler Maruyama; Moment bounds; Nonlinearity; Stochastic differential equations

Indexed keywords

BROWNIAN MOVEMENT; FUNCTIONS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; STOCHASTIC CONTROL SYSTEMS;

EID: 25644440564     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.08.015     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 0004381352 scopus 로고
    • Parameter identification for an abstract Cauchy problem by quasi linearization
    • D.W. Brewce, J.A. Bruns, and E.M. Cliff Parameter identification for an abstract Cauchy problem by quasi linearization Quart. Appl. Math. LI March 1993 1 22
    • (1993) Quart. Appl. Math. , vol.51 , pp. 1-22
    • Brewce, D.W.1    Bruns, J.A.2    Cliff, E.M.3
  • 2
    • 0002945485 scopus 로고
    • Error on analysis for a class of methods for stiff nonlinear intimal value problem
    • G.A. Watson (Ed.), Numerical Analysis: Proc. Dundee Con., 1975 Berlin Springer-Verlag
    • G. Dahl Quist, Error on analysis for a class of methods for stiff nonlinear intimal value problem, in: G.A. Watson (Ed.), Numerical Analysis: Proc. Dundee Con., 1975, Lecture notes in Math. No. 506, Berlin, 1976, Springer-Verlag, pp. 60-72.
    • (1976) Lecture Notes in Math. No. 506 , vol.506 , pp. 60-72
    • Dahl Quist, G.1
  • 4
    • 51249083424 scopus 로고
    • On the initial value problem for partial differential equation with operator coefficients
    • M.M. El-Borai On the initial value problem for partial differential equation with operator coefficients Internet. J. Math. Math. Sci. 3 1980 103 111
    • (1980) Internet. J. Math. Math. Sci. , vol.3 , pp. 103-111
    • El-Borai, M.M.1
  • 7
    • 0040361064 scopus 로고    scopus 로고
    • Existence of strong solutions for Ito's stochastic equations via approximations
    • I. Gyongy, and N. Krylov Existence of strong solutions for Ito's stochastic equations via approximations Probab. Theory, Relate. Fields 105 1996 143 158
    • (1996) Probab. Theory, Relate. Fields , vol.105 , pp. 143-158
    • Gyongy, I.1    Krylov, N.2
  • 8
    • 0043228001 scopus 로고    scopus 로고
    • A note on Euler's approximations
    • I. Gyongy, A note on Euler's approximations, Potential Analysis 8 (1118) 205-216.
    • Potential Analysis , vol.8 , Issue.1118 , pp. 205-216
    • Gyongy, I.1
  • 10
    • 0034436594 scopus 로고    scopus 로고
    • Mean square and asymptotic stability of the stochastic theta method
    • D.J. Higham Mean square and asymptotic stability of the stochastic theta method SIAM. J. Numer. Anal. 38 2000 753 769
    • (2000) SIAM. J. Numer. Anal. , vol.38 , pp. 753-769
    • Higham, D.J.1
  • 13
    • 25644454635 scopus 로고    scopus 로고
    • Ergodicity for stochastic differential equations and approximations: Locally Lipschitz vector fields and degenerate noise
    • University of Strathclyde, Department of Mathematics
    • J.M. Mattingly, A.M. Stuart, D.J. Higham, Ergodicity for stochastic differential equations and approximations: locally Lipschitz vector fields and degenerate noise, Tech, Rep. 7, University of Strathclyde, Department of Mathematics, 2001.
    • (2001) Tech, Rep. , vol.7
    • Mattingly, J.M.1    Stuart, A.M.2    Higham, D.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.