메뉴 건너뛰기




Volumn 44, Issue 4, 2007, Pages 335-346

A step size control algorithm for the weak approximation of stochastic differential equations

Author keywords

Embedded Runge Kutta methods; Step size control; Stochastic differential equation; Weak approximation

Indexed keywords


EID: 36048979920     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-007-9108-0     Document Type: Article
Times cited : (12)

References (18)
  • 1
    • 0038408630 scopus 로고    scopus 로고
    • A variable stepsize implementation for stochastic differential equations
    • 3
    • Burrage, K., Burrage, P.M.: A variable stepsize implementation for stochastic differential equations. SIAM J. Sci. Comput. 24(3), 848-864 (2002)
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 848-864
    • Burrage, K.1    Burrage, P.M.2
  • 2
    • 0034547253 scopus 로고    scopus 로고
    • Order conditions of stochastic Runge-Kutta methods by B-series
    • 5
    • Burrage, K., Burrage, P.M.: Order conditions of stochastic Runge-Kutta methods by B-series. SIAM J. Numer. Anal. 38(5), 1626-1646 (2000)
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 1626-1646
    • Burrage, K.1    Burrage, P.M.2
  • 4
    • 0031258411 scopus 로고    scopus 로고
    • Variable step size control in the numerical solution of stochastic differential equations
    • 5
    • Gaines, J.G., Lyons T.J.: Variable step size control in the numerical solution of stochastic differential equations. SIAM J. Appl. Math. 57(5), 1455-1484 (1997)
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1455-1484
    • Gaines, J.G.1    Lyons, T.J.2
  • 10
    • 0642303008 scopus 로고    scopus 로고
    • Rooted tree analysis of the order conditions of ROW-type scheme for stochastic differential equations
    • 1
    • Komori, Y., Mitsui, T., Sugiura, H.: Rooted tree analysis of the order conditions of ROW-type scheme for stochastic differential equations. BIT 37(1), 43-66 (1997)
    • (1997) BIT , vol.37 , pp. 43-66
    • Komori, Y.1    Mitsui, T.2    Sugiura, H.3
  • 11
    • 0242708960 scopus 로고    scopus 로고
    • An adaptive timestepping algorithm for stochastic differential equations
    • 2
    • Lamba, H.: An adaptive timestepping algorithm for stochastic differential equations. J. Comput. Appl. Math. 161(2), 417-430 (2003)
    • (2003) J. Comput. Appl. Math. , vol.161 , pp. 417-430
    • Lamba, H.1
  • 13
    • 36049001237 scopus 로고    scopus 로고
    • An adaptive discretization algorithm for the weak approximation of stochastic differential equations
    • 1
    • Rößler, A.: An adaptive discretization algorithm for the weak approximation of stochastic differential equations. Proc. Appl. Math. Mech. 4(1), 19-22 (2004)
    • (2004) Proc. Appl. Math. Mech. , vol.4 , pp. 19-22
    • Rößler, A.1
  • 14
    • 30444461217 scopus 로고    scopus 로고
    • Rooted tree analysis for order conditions of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations
    • 1
    • Rößler, A.: Rooted tree analysis for order conditions of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations. Stoch. Anal. Appl. 24(1), 97-134 (2006)
    • (2006) Stoch. Anal. Appl. , vol.24 , pp. 97-134
    • Rößler, A.1
  • 15
    • 33645029424 scopus 로고    scopus 로고
    • Runge-Kutta methods for Itô stochastic differential equations with scalar noise
    • 1
    • Rößler, A.: Runge-Kutta methods for Itô stochastic differential equations with scalar noise. BIT 46(1), 97-110 (2006)
    • (2006) BIT , vol.46 , pp. 97-110
    • Rößler, A.1
  • 17
    • 0035641113 scopus 로고    scopus 로고
    • Adaptive weak approximation of stochastic differential equations
    • 10
    • Szepessy, A., Tempone, R., Zouraris, G.: Adaptive weak approximation of stochastic differential equations. Commun. Pure Appl. Math. 54(10), 1169-1214 (2001)
    • (2001) Commun. Pure Appl. Math. , vol.54 , pp. 1169-1214
    • Szepessy, A.1    Tempone, R.2    Zouraris, G.3
  • 18
    • 0037246360 scopus 로고    scopus 로고
    • Weak second order conditions for stochastic Runge-Kutta methods
    • 2
    • Tocino, A., Vigo-Aguiar, J.: Weak second order conditions for stochastic Runge-Kutta methods. SIAM J. Sci. Comput. 24(2), 507-523 (2002)
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 507-523
    • Tocino, A.1    Vigo-Aguiar, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.