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Volumn 67, Issue 221, 1998, Pages 287-298

Approximation of continuous time stochastic processes by a local linearization method

Author keywords

Discretization; Numerical approximation; Rate of convergence; Stochastic differential equations

Indexed keywords


EID: 0032341232     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-98-00888-6     Document Type: Article
Times cited : (29)

References (11)
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    • (1987) Mathematics of Computation , vol.49 , pp. 523-542
    • Chang, C.C.1
  • 2
    • 0007508207 scopus 로고
    • The maximum rate of convergence of discrete approximations for stochastic differential equations
    • Springer-Verlag, Berlin, New York. MR 82f:60133
    • Clark, J. M. C. and Cameron, R. J., The maximum rate of convergence of discrete approximations for stochastic differential equations, Lecture Notes in Control and Information Science 25 (1980), Springer-Verlag, Berlin, New York. MR 82f:60133
    • (1980) Lecture Notes in Control and Information Science , vol.25
    • Clark, J.M.C.1    Cameron, R.J.2
  • 5
    • 0000532550 scopus 로고
    • Approximate integration of stochastic differential equations
    • MR 50:8696
    • Milstein, G. N., Approximate integration of stochastic differential equations, Theory of Probability and its Application 19 (1974), 557-562. MR 50:8696
    • (1974) Theory of Probability and Its Application , vol.19 , pp. 557-562
    • Milstein, G.N.1
  • 6
    • 0000532550 scopus 로고
    • A method of second-order accuracy integration of stochastic differential equations
    • MR 58:24549
    • _, A method of second-order accuracy integration of stochastic differential equations, Theory of Probability and its Application 23 (1978), 396-401. MR 58:24549
    • (1978) Theory of Probability and Its Application , vol.23 , pp. 396-401
  • 7
    • 0026138294 scopus 로고
    • Asymptotically efficient Runge-Kutta methods for a class of Ito and Storatonovich equations
    • MR 92e:60121
    • Newton, N. J., Asymptotically efficient Runge-Kutta methods for a class of Ito and Storatonovich equations, SIAM Journal on Applied Mathematics 51, (1991), 542-567. MR 92e:60121
    • (1991) SIAM Journal on Applied Mathematics , vol.51 , pp. 542-567
    • Newton, N.J.1
  • 8
    • 0022113702 scopus 로고
    • Statistical identification of storage models with application to stochastic hydrology
    • Ozaki, T., Statistical identification of storage models with application to stochastic hydrology, Water Resources Bulletin 21 (1985), 663-675.
    • (1985) Water Resources Bulletin , vol.21 , pp. 663-675
    • Ozaki, T.1
  • 9
    • 0001040012 scopus 로고
    • Numerical treatment of stochastic differential equations
    • MR 83i:60075
    • Rümelin, W., Numerical treatment of stochastic differential equations, SIAM Journal on Numerical Analysis 19 (1982), 604-613. MR 83i:60075
    • (1982) SIAM Journal on Numerical Analysis , vol.19 , pp. 604-613
    • Rümelin, W.1
  • 11
    • 0000574485 scopus 로고
    • Estimation for diffusion processes from discrete observation
    • MR 93g:62113
    • Yoshida, N., Estimation for diffusion processes from discrete observation, Journal of Multivariate Analysis 41 (1992), 220-242. MR 93g:62113
    • (1992) Journal of Multivariate Analysis , vol.41 , pp. 220-242
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.