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Volumn 24, Issue 2, 2003, Pages 507-523

Weak second order conditions for stochastic Runge-Kutta methods

Author keywords

Explicit schemes; Runge Kutta methods; Stochastic differential equations; Weak approximation; Weak numerical schemes

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS;

EID: 0037246360     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827501387814     Document Type: Article
Times cited : (64)

References (10)
  • 4
    • 0000532550 scopus 로고
    • A method of second-order accuracy integration of stochastic differential equations
    • G.N. MILSHTEIN, A method of second-order accuracy integration of stochastic differential equations, Theory Probab. Appl., 23 (1978), pp. 396-401.
    • (1978) Theory Probab. Appl. , vol.23 , pp. 396-401
    • Milshtein, G.N.1
  • 5
    • 0000996567 scopus 로고
    • Weak approximation of solutions of systems of stochastic differential equations
    • G.N. MIL'SHTEIN, Weak approximation of solutions of systems of stochastic differential equations, Theory Probab. Appl., 30 (1985), pp. 750-766.
    • (1985) Theory Probab. Appl. , vol.30 , pp. 750-766
    • Mil'Shtein, G.N.1
  • 6
    • 85011454437 scopus 로고    scopus 로고
    • An introduction to numerical methods for stochastic differential equations
    • E. PLATEN, An introduction to numerical methods for stochastic differential equations, Acta Numer., 3 (1999), pp. 197-246.
    • (1999) Acta Numer. , vol.3 , pp. 197-246
    • Platen, E.1
  • 7
    • 0021313777 scopus 로고
    • Efficient numerical schemes for the approximation of expectations of functional of the solution of an SDE and applications
    • Filtering and Control of Random Processes, Springer, Berlin
    • D. TALAY, Efficient numerical schemes for the approximation of expectations of functional of the solution of an SDE and applications, in Filtering and Control of Random Processes, Lecture Notes in Control and Inform. Sci. 61, Springer, Berlin, 1984, pp. 294-313.
    • (1984) Lecture Notes in Control and Inform. Sci. , vol.61 , pp. 294-313
    • Talay, D.1
  • 8
    • 0036016351 scopus 로고    scopus 로고
    • Truncated itô - Taylor expansions
    • A. TOCINO AND R. ARDANUY, Truncated Itô - Taylor expansions, Stochast. Anal. Appl., 20 (2002), pp. 427-443.
    • (2002) Stochast. Anal. Appl. , vol.20 , pp. 427-443
    • Tocino, A.1    Ardanuy, R.2
  • 9
    • 0037081098 scopus 로고    scopus 로고
    • Runge-Kutta methods for numerical solution of stochastic differential equations
    • A. TOCINO AND R. ARDANUY, Runge-Kutta methods for numerical solution of stochastic differential equations, J. Comput. Appl. Math., 138 (2002), pp. 219-241.
    • (2002) J. Comput. Appl. Math. , vol.138 , pp. 219-241
    • Tocino, A.1    Ardanuy, R.2
  • 10
    • 0012827564 scopus 로고    scopus 로고
    • An infinite family of second order weak explicit Runge-Kutta methods
    • J. VIGO-AGUIAR AND A. TOCINO, An infinite family of second order weak explicit Runge-Kutta methods, J. Comput. Methods Sci. Engrg., 1 (2001), pp. 125-134.
    • (2001) J. Comput. Methods Sci. Engrg. , vol.1 , pp. 125-134
    • Vigo-Aguiar, J.1    Tocino, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.