메뉴 건너뛰기




Volumn 56, Issue 5, 2006, Pages 667-681

One-step approximations for stochastic functional differential equations

Author keywords

Drift implicit one step schemes; Mean square convergence; Stochastic functional differential equations

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; RANDOM PROCESSES;

EID: 33644861030     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2005.05.001     Document Type: Article
Times cited : (21)

References (27)
  • 3
    • 0012329392 scopus 로고    scopus 로고
    • Numerical analysis of explicit one-step methods for stochastic delay differential equations
    • C.T.H. Baker, and E. Buckwar Numerical analysis of explicit one-step methods for stochastic delay differential equations LMS J. Comput. Math. 3 2000 315 335
    • (2000) LMS J. Comput. Math. , vol.3 , pp. 315-335
    • Baker, C.T.H.1    Buckwar, E.2
  • 4
    • 3042628713 scopus 로고    scopus 로고
    • Continuous Θ-methods for the stochastic pantograph equation
    • C.T.H. Baker, and E. Buckwar Continuous Θ-methods for the stochastic pantograph equation Electron. Trans. Numer. Anal. 11 2000 131 151
    • (2000) Electron. Trans. Numer. Anal. , vol.11 , pp. 131-151
    • Baker, C.T.H.1    Buckwar, E.2
  • 5
    • 2142732543 scopus 로고
    • Convergence of linear multistep methods for a class of delay-integro-differential equations
    • Birkhäuser Basel
    • C.T.H. Baker, and N. Ford Convergence of linear multistep methods for a class of delay-integro-differential equations International Series of Numerical Mathematics vol. 86 1988 Birkhäuser Basel 47 59
    • (1988) International Series of Numerical Mathematics , vol.86 , pp. 47-59
    • Baker, C.T.H.1    Ford, N.2
  • 7
    • 27744460989 scopus 로고    scopus 로고
    • The Θ-Maruyama scheme for stochastic functional differential equations with distributed memory term
    • E. Buckwar The Θ-Maruyama scheme for stochastic functional differential equations with distributed memory term Monte Carlo Methods Appl. 10 3-4 2004 235 244
    • (2004) Monte Carlo Methods Appl. , vol.10 , Issue.3-4 , pp. 235-244
    • Buckwar, E.1
  • 11
    • 2142818234 scopus 로고    scopus 로고
    • Discrete-time approximations of stochastic delay equations: The Milstein scheme
    • Y. Hu, S.E.A. Mohammed, and F. Yan Discrete-time approximations of stochastic delay equations: The Milstein scheme Ann. Probab. 32 1A 2004 265 314
    • (2004) Ann. Probab. , vol.32 , Issue.1 , pp. 265-314
    • Hu, Y.1    Mohammed, S.E.A.2    Yan, F.3
  • 16
    • 0037293686 scopus 로고    scopus 로고
    • Numerical solutions of stochastic differential delay equations under local Lipschitz condition
    • X. Mao, and S. Sabanis Numerical solutions of stochastic differential delay equations under local Lipschitz condition J. Comput. Appl. Math. 151 1 2003 215 227
    • (2003) J. Comput. Appl. Math. , vol.151 , Issue.1 , pp. 215-227
    • Mao, X.1    Sabanis, S.2
  • 17
    • 33644858664 scopus 로고    scopus 로고
    • Numerical solutions of stochastic functional differential equations
    • X. Mao Numerical solutions of stochastic functional differential equations LMS J. Comput. Math. 6 2003 141 161
    • (2003) LMS J. Comput. Math. , vol.6 , pp. 141-161
    • Mao, X.1
  • 20
    • 0031173522 scopus 로고    scopus 로고
    • Mean-square numerical methods for stochastic differential equations with small noise
    • G.N. Milstein, and M.V. Tretyakov Mean-square numerical methods for stochastic differential equations with small noise SIAM J. Sci. Comput. 18 1997 1067 1087
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1067-1087
    • Milstein, G.N.1    Tretyakov, M.V.2
  • 21
    • 0010504106 scopus 로고    scopus 로고
    • Stochastic differential systems with memory. Theory, examples and applications
    • L. Decreusefond J. Gjerde B. Øksendal A.S. Üstünel Stochastic Analysis and Related Topics VI. the Geilo Workshop 1996 Birkhäuser Basel
    • S.E.A. Mohammed Stochastic differential systems with memory. Theory, examples and applications L. Decreusefond J. Gjerde B. Øksendal A.S. Üstünel Stochastic Analysis and Related Topics VI. The Geilo Workshop 1996 Progress in Probability 1998 Birkhäuser Basel 1 77
    • (1998) Progress in Probability , pp. 1-77
    • Mohammed, S.E.A.1
  • 23
    • 0015315774 scopus 로고
    • The numerical solution of Volterra functional differential equations by Euler's method
    • C.W. Cryer, and L. Tavernini The numerical solution of Volterra functional differential equations by Euler's method SIAM J. Numer. Anal. 9 1972 105 129
    • (1972) SIAM J. Numer. Anal. , vol.9 , pp. 105-129
    • Cryer, C.W.1    Tavernini, L.2
  • 24
    • 0015206438 scopus 로고
    • One-step methods for the numerical solution of Volterra functional differential equations
    • L. Tavernini One-step methods for the numerical solution of Volterra functional differential equations SIAM J. Numer. Anal. 8 1971 786 795
    • (1971) SIAM J. Numer. Anal. , vol.8 , pp. 786-795
    • Tavernini, L.1
  • 25
    • 33644865707 scopus 로고
    • Approximation schemes for Itô-Volterra stochastic equations
    • C. Tudor, and M. Tudor Approximation schemes for Itô-Volterra stochastic equations Bol. Soc. Mat. Mexicana (3) 1 1995 73 85
    • (1995) Bol. Soc. Mat. Mexicana (3) , vol.1 , pp. 73-85
    • Tudor, C.1    Tudor, M.2
  • 27
    • 0041519194 scopus 로고    scopus 로고
    • Stochastic differential algebraic equations of index 1 and applications in circuit simulation
    • R. Winkler Stochastic differential algebraic equations of index 1 and applications in circuit simulation J. Comput. Appl. Math. 157 2 2003 477 505
    • (2003) J. Comput. Appl. Math. , vol.157 , Issue.2 , pp. 477-505
    • Winkler, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.