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Volumn 35, Issue 3, 1998, Pages 1010-1019

Balanced implicit methods for stiff stochastic systems

Author keywords

Implicit numerical methods; Simulation experiments; Stiff equations; Stochastic differential equations

Indexed keywords


EID: 0001533096     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994273525     Document Type: Article
Times cited : (207)

References (9)
  • 1
    • 0001109056 scopus 로고
    • Computer simulation of multiplicative stochastic differential equations
    • P.D. DRUMMOND AND I.K. MORTIMER, Computer simulation of multiplicative stochastic differential equations, J. Comput. Phys., 93 (1991), pp. 144-170.
    • (1991) J. Comput. Phys. , vol.93 , pp. 144-170
    • Drummond, P.D.1    Mortimer, I.K.2
  • 2
    • 0001644350 scopus 로고
    • Convergence and stability of implicit Runge-Kutta methods for systems with multiplicative noise
    • D.B. HERNANDEZ AND R. SPIGLER, Convergence and stability of implicit Runge-Kutta methods for systems with multiplicative noise, BIT, 33 (1993), pp. 654-669.
    • (1993) BIT , vol.33 , pp. 654-669
    • Hernandez, D.B.1    Spigler, R.2
  • 3
    • 0022388467 scopus 로고
    • Numerical integration of multiplicative-noise stochastic differential equations
    • J.R. KLAUDER AND W.P. PETERSEN, Numerical integration of multiplicative-noise stochastic differential equations, SIAM J. Numer. Anal. 22 (1985), pp. 1153-1166.
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 1153-1166
    • Klauder, J.R.1    Petersen, W.P.2
  • 4
    • 0003335723 scopus 로고
    • Numerical Solution of Stochastic Differential Equations
    • Springer-Verlag, Berlin
    • P.E. KLOEDEN AND E. PLATEN, Numerical Solution of Stochastic Differential Equations, Appl. Math. 23, Springer-Verlag, Berlin, 1992.
    • (1992) Appl. Math. , vol.23
    • Kloeden, P.E.1    Platen, E.2
  • 5
    • 0000204594 scopus 로고
    • Higher-order implicit strong numerical schemes for stochastic differential equations
    • P.E. KLOEDEN AND E. PLATEN, Higher-order implicit strong numerical schemes for stochastic differential equations, J. Statist. Phys. 66 (1992), pp. 283-314.
    • (1992) J. Statist. Phys. , vol.66 , pp. 283-314
    • Kloeden, P.E.1    Platen, E.2
  • 7
    • 0012439159 scopus 로고
    • A theorem on the order of convergence of mean square approximations of solutions of systems of stochastic differential equations
    • G.N. MILSTEIN, A theorem on the order of convergence of mean square approximations of solutions of systems of stochastic differential equations, Theory Prob. Appl., 32 (1988), pp. 738-741.
    • (1988) Theory Prob. Appl. , vol.32 , pp. 738-741
    • Milstein, G.N.1
  • 8
    • 0003052614 scopus 로고
    • T-stability of numerical scheme for stochastic differential equations
    • Y. SAITO AND T. MITSUI, T-stability of numerical scheme for stochastic differential equations, World Sci. Ser. Appl. Anal., 2 (1993), pp. 333-344.
    • (1993) World Sci. Ser. Appl. Anal. , vol.2 , pp. 333-344
    • Saito, Y.1    Mitsui, T.2
  • 9
    • 0347480643 scopus 로고
    • Analyse Numérique des Equations Différentielles Stochastiques
    • University of Provence, France
    • D. TALAY, Analyse Numérique des Equations Différentielles Stochastiques, Thèse 3ème cycle, University of Provence, France, 1982.
    • (1982) Thèse 3ème Cycle
    • Talay, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.