메뉴 건너뛰기




Volumn 164-165, Issue , 2004, Pages 613-627

Runge-Kutta methods for Stratonovich stochastic differential equation systems with commutative noise

Author keywords

Numerical methods; Runge Kutta methods; Stochastic differential equations; Weak approximation

Indexed keywords

COMPUTATIONAL COMPLEXITY; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; RUNGE KUTTA METHODS;

EID: 1442264991     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.09.009     Document Type: Article
Times cited : (43)

References (16)
  • 1
    • 0032182723 scopus 로고    scopus 로고
    • General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems
    • Burrage K. Burrage P.M. General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems Appl. Numer. Math. 28 2-4 1998 161-177
    • (1998) Appl. Numer. Math. , vol.28 , Issue.2-4 , pp. 161-177
    • Burrage, K.1    Burrage, P.M.2
  • 6
    • 0037081456 scopus 로고    scopus 로고
    • Adaptive schemes for the numerical solution of SDEs-a comparison
    • Lehn J. Rößler A. Schein O. Adaptive schemes for the numerical solution of SDEs-a comparison J. Comput. Appl. Math. 138 2 2002 297-308
    • (2002) J. Comput. Appl. Math. , vol.138 , Issue.2 , pp. 297-308
    • Lehn, J.1    Rößler, A.2    Schein, O.3
  • 7
    • 0004454657 scopus 로고
    • Second-order weak approximations for Stratonovich stochastic differential equations
    • Mackevicius V. Second-order weak approximations for Stratonovich stochastic differential equations Lith. Math. J. 34 2 1994 183-200
    • (1994) Lith. Math. J. , vol.34 , Issue.2 , pp. 183-200
    • Mackevicius, V.1
  • 10
    • 0000996567 scopus 로고
    • Weak approximation of solutions of systems of stochastic differential equations
    • Milstein G.N. Weak approximation of solutions of systems of stochastic differential equations Theory Probab. Appl. 30 1986 750-766
    • (1986) Theory Probab. Appl. , vol.30 , pp. 750-766
    • Milstein, G.N.1
  • 12
    • 26144451433 scopus 로고    scopus 로고
    • Embedded stochastic Runge-Kutta methods
    • Rößler A. Embedded stochastic Runge-Kutta methods Proc. Appl. Math. Mech. 2 1 2003 461-462
    • (2003) Proc. Appl. Math. Mech. , vol.2 , Issue.1 , pp. 461-462
    • Rößler, A.1
  • 14
    • 0001040012 scopus 로고
    • Numerical treatment of stochastic differential equations
    • Rümelin W. Numerical treatment of stochastic differential equations SIAM J. Numer. Anal. 19 3 1982 604-613
    • (1982) SIAM J. Numer. Anal. , vol.19 , Issue.3 , pp. 604-613
    • Rümelin, W.1
  • 15
    • 0022575297 scopus 로고
    • Discrétisation d'une équation différentielle stochastique et calcul approché d'espérances de fonctionnelles de la solution
    • Talay D. Discrétisation d'une équation différentielle stochastique et calcul approché d'espérances de fonctionnelles de la solution RAIRO, Modélisation Math. Anal. Numér. 20 1 1986 141-179
    • (1986) RAIRO, Modélisation Math. Anal. Numér. , vol.20 , Issue.1 , pp. 141-179
    • Talay, D.1
  • 16
    • 0037246360 scopus 로고    scopus 로고
    • Weak second order conditions for stochastic Runge-Kutta methods
    • Tocino A. Vigo-Aguiar J. Weak second order conditions for stochastic Runge-Kutta methods SIAM J. Sci. Comput. 24 2 2002 507-523
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.2 , pp. 507-523
    • Tocino, A.1    Vigo-Aguiar, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.