메뉴 건너뛰기




Volumn 170, Issue 2-2, 2004, Pages 317-336

Adaptive stepsize based on control theory for stochastic differential equations

Author keywords

PI(D) control; Predictive control; Stochastic differential equations; Variable stepsize

Indexed keywords

DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; RUNGE KUTTA METHODS; STOCHASTIC PROGRAMMING;

EID: 3042536076     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.01.027     Document Type: Article
Times cited : (45)

References (15)
  • 1
    • 0039027595 scopus 로고    scopus 로고
    • High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula
    • Burrage K. Burrage P.M. High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula Physica D 133 1999 34-48
    • (1999) Physica D , vol.133 , pp. 34-48
    • Burrage, K.1    Burrage, P.M.2
  • 2
    • 0038408630 scopus 로고    scopus 로고
    • A variable stepsize implementation for stochastic differential equations
    • Burrage P.M. Burrage K. A variable stepsize implementation for stochastic differential equations SIAM J. Sci. Comput. 24 3 2002 848-864
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.3 , pp. 848-864
    • Burrage, P.M.1    Burrage, K.2
  • 4
    • 0031258411 scopus 로고    scopus 로고
    • Variable stepsize control in the numerical solution of stochastic differential equations
    • Gaines J.G. Lyons T.J. Variable stepsize control in the numerical solution of stochastic differential equations SIAM J. Appl. Math. 5 1997 1455-1484
    • (1997) SIAM J. Appl. Math. , vol.5 , pp. 1455-1484
    • Gaines, J.G.1    Lyons, T.J.2
  • 5
    • 0026283488 scopus 로고
    • Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
    • Gustafsson K. Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods ACM Trans. Math. Software 17 1991 533-554
    • (1991) ACM Trans. Math. Software , vol.17 , pp. 533-554
    • Gustafsson, K.1
  • 6
    • 0028737039 scopus 로고
    • Control theoretic techniques for stepsize selection in implicit Runge-Kutta methods
    • Gustafsson K. Control theoretic techniques for stepsize selection in implicit Runge-Kutta methods ACM Trans. Math. Software 20 1994 496-517
    • (1994) ACM Trans. Math. Software , vol.20 , pp. 496-517
    • Gustafsson, K.1
  • 7
    • 0000687568 scopus 로고
    • A PI stepsize control for the numerical solution of ordinary differential equations
    • Gustafsson K. Lundh M. Söderlind G. A PI stepsize control for the numerical solution of ordinary differential equations BIT 28 1988 270-287
    • (1988) BIT , vol.28 , pp. 270-287
    • Gustafsson, K.1    Lundh, M.2    Söderlind, G.3
  • 8
    • 0030621839 scopus 로고    scopus 로고
    • Control strategies for the iterative solution of nonlinear equations in ODE solvers
    • Gustafsson K. Söderlind G. Control strategies for the iterative solution of nonlinear equations in ODE solvers SIAM J. Sci. Comput. 18 1997 23-40
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 23-40
    • Gustafsson, K.1    Söderlind, G.2
  • 10
    • 0005691331 scopus 로고
    • Robust defect control with Runge-Kutta schemes
    • Higham D.J. Robust defect control with Runge-Kutta schemes SIAM J. Numer. Anal. 26 5 1989 1175-1183
    • (1989) SIAM J. Numer. Anal. , vol.26 , Issue.5 , pp. 1175-1183
    • Higham, D.J.1
  • 11
    • 0032202905 scopus 로고    scopus 로고
    • Stepsize control in the numerical solution of stochastic differential equations
    • Mauthner S. Stepsize control in the numerical solution of stochastic differential equations J. Comput. Appl. Math. 100 1998 93-109
    • (1998) J. Comput. Appl. Math. , vol.100 , pp. 93-109
    • Mauthner, S.1
  • 12
    • 0001533096 scopus 로고    scopus 로고
    • Balanced implicit methods for stiff stochastic systems
    • Milstein G.N. Platen E. Schurz H. Balanced implicit methods for stiff stochastic systems SIAM J. Numer. Anal. 35 1998 1010-1019
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1010-1019
    • Milstein, G.N.1    Platen, E.2    Schurz, H.3
  • 13
    • 0002396750 scopus 로고    scopus 로고
    • The automatic control of numerical integration
    • Söderlind G. The automatic control of numerical integration CWI Quart. 11 1 1998 55-74
    • (1998) CWI Quart. , vol.11 , Issue.1 , pp. 55-74
    • Söderlind, G.1
  • 14
    • 3042616322 scopus 로고    scopus 로고
    • Digital filters in adaptive time-stepping
    • Söderlind G. Digital filters in adaptive time-stepping ACM Trans. Math. Software 29 1 2003 1-26
    • (2003) ACM Trans. Math. Software , vol.29 , Issue.1 , pp. 1-26
    • Söderlind, G.1
  • 15
    • 0035641113 scopus 로고    scopus 로고
    • Adaptive weak approximation of stochastic differential equations
    • Szepessy A. Tempone R. Zouraris G.E. Adaptive weak approximation of stochastic differential equations Comm. Pure Appl. Math. 54 2001 1169-1214
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 1169-1214
    • Szepessy, A.1    Tempone, R.2    Zouraris, G.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.