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Volumn 46, Issue 1, 2006, Pages 111-125

Modified equations for stochastic differential equations

Author keywords

Backward error analysis; Numerical approximation; Stochastic differential equations

Indexed keywords


EID: 33645029203     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-005-0041-0     Document Type: Article
Times cited : (44)

References (9)
  • 1
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    • (1993) Probab. Theory Relat. Fields , vol.96 , pp. 225-239
    • Castell, F.1
  • 2
    • 33645017611 scopus 로고
    • An efficient approximation method for stochastic differential equations by means of the exponential Lie series
    • Probabilités numériques (Paris, 1992)
    • F. Castell and J. Gaines, An efficient approximation method for stochastic differential equations by means of the exponential Lie series, Math. Comput. Simul., 38 (1995), pp. 13-19. Probabilités numériques (Paris, 1992).
    • (1995) Math. Comput. Simul. , vol.38 , pp. 13-19
    • Castell, F.1    Gaines, J.2
  • 3
    • 0013460577 scopus 로고    scopus 로고
    • Geometric numerical integration: Structure-preserving algorithms for ordinary differential equations
    • Springer, Berlin
    • E. Hairer, C. Lubich, and G. Wanner, Geometric numerical integration: Structure-preserving algorithms for ordinary differential equations, vol. 31 of Springer Series in Computational Mathematics, Springer, Berlin, 2002.
    • (2002) Springer Series in Computational Mathematics , vol.31
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 4
    • 0003335723 scopus 로고
    • Numerical solution of stochastic differential equations
    • (New York), Springer, Berlin
    • P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations, vol. 23 of Applications of Mathematics (New York), Springer, Berlin, 1992.
    • (1992) Applications of Mathematics , vol.23
    • Kloeden, P.E.1    Platen, E.2
  • 5
    • 0040974257 scopus 로고
    • Numerical integration of stochastic differential equations
    • Kluwer, Dordrecht. Translated and revised from the 1988 Russian original
    • G. N. Milstein, Numerical Integration of Stochastic Differential Equations, vol. 313 of Mathematics and its Applications, Kluwer, Dordrecht, 1995. Translated and revised from the 1988 Russian original.
    • (1995) Mathematics and Its Applications , vol.313
    • Milstein, G.N.1
  • 6
    • 0141869053 scopus 로고    scopus 로고
    • Numerical methods for stochastic systems preserving symplectic structure
    • G. N. Milstein, Y. M. Repin, and M. V. Tretyakov, Numerical methods for stochastic systems preserving symplectic structure, SIAM J. Numer. Anal., 40 (2002), pp. 1583-1604.
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 1583-1604
    • Milstein, G.N.1    Repin, Y.M.2    Tretyakov, M.V.3
  • 7
    • 0142138089 scopus 로고    scopus 로고
    • Quasi-symplectic methods for Langevin-type equations
    • G. N. Milstein and M. V. Tretyakov, Quasi-symplectic methods for Langevin-type equations, IMA J. Numer. Anal., 23 (2003), pp. 593-626.
    • (2003) IMA J. Numer. Anal. , vol.23 , pp. 593-626
    • Milstein, G.N.1    Tretyakov, M.V.2
  • 8
    • 1542377503 scopus 로고    scopus 로고
    • Analysis of a few numerical integration methods for the Langevin equation
    • W. Wang and R. D. Skeel, Analysis of a few numerical integration methods for the Langevin equation, Mol. Phys., 101 (2003), pp. 2149-2156.
    • (2003) Mol. Phys. , vol.101 , pp. 2149-2156
    • Wang, W.1    Skeel, R.D.2
  • 9
    • 50549219257 scopus 로고
    • On the relation between ordinary and stochastic differential equations
    • E. Wong and M. Zakai, On the relation between ordinary and stochastic differential equations, Int. J. Eng. Sci., 3 (1965), pp. 213-229.
    • (1965) Int. J. Eng. Sci. , vol.3 , pp. 213-229
    • Wong, E.1    Zakai, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.