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Volumn 66, Issue 1-2, 1998, Pages 53-66

A recursive integration method for approximate solution of stochastic differential equations

Author keywords

Extrapolation; First passage time; Numerical analysis; Stochastic differential equations

Indexed keywords

DIFFERENTIAL EQUATIONS; EXTRAPOLATION; INTEGRAL EQUATIONS; NUMERICAL ANALYSIS; STOCHASTIC SYSTEMS; APPROXIMATION THEORY; INTEGRATION; NUMERICAL METHODS; PROBABILITY;

EID: 0031707289     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169808804624     Document Type: Article
Times cited : (2)

References (10)
  • 1
    • 0024807350 scopus 로고
    • A Survey of Numerical Methods for Stochastic Differential Equations
    • Kloeden, P, E. and Platen, E. (1989). A Survey of Numerical Methods for Stochastic Differential Equations, J. Stoch. Hydrol. Hydraul., 3, 155-178.
    • (1989) J. Stoch. Hydrol. Hydraul. , vol.3 , pp. 155-178
    • Kloeden, P.E.1    Platen, E.2
  • 3
    • 0041949289 scopus 로고
    • Numerical Solution of First Passage Problems in Random Vibrations
    • Langtangen, H. P. (1994). Numerical Solution of First Passage Problems in Random Vibrations, SIAM J. Sci. Comput., 15, 977-996.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 977-996
    • Langtangen, H.P.1
  • 5
    • 0000124397 scopus 로고
    • Expansion of the Global Error for Numerical Schemes Solving Stochastic Differential Equations
    • Talay, D. and Tubaro, L. (1990). Expansion of the Global Error for Numerical Schemes Solving Stochastic Differential Equations, Stochastic Analysis and Applications, 8, 483-509
    • (1990) Stochastic Analysis and Applications , vol.8 , pp. 483-509
    • Talay, D.1    Tubaro, L.2
  • 6
    • 0019586844 scopus 로고
    • Petrov-Galerkin Finite Element Solution for the First Passage Probability and Moments of First Passage Time of the Randomly Accelerated Free Particle
    • Bergman, L. A. and Heinrich, J. C. (1981). Petrov-Galerkin Finite Element Solution for the First Passage Probability and Moments of First Passage Time of the Randomly Accelerated Free Particle, Comp. Methods. Appl. Mech. Engrg., 27, 345-362.
    • (1981) Comp. Methods. Appl. Mech. Engrg. , vol.27 , pp. 345-362
    • Bergman, L.A.1    Heinrich, J.C.2
  • 8
    • 38249039930 scopus 로고
    • First Passage Probabilities for Randomly Excited Systems: Diffusion Methods
    • Roberts, J. B. (1986). First Passage Probabilities for Randomly Excited Systems: Diffusion Methods, Probab. Engrg. Mech., 1, 66 -81.
    • (1986) Probab. Engrg. Mech. , vol.1 , pp. 66-81
    • Roberts, J.B.1
  • 9
    • 0041894221 scopus 로고
    • Random Walk Model for First Passage Probability
    • Toland, R. H. and Yang, C. Y. (1971). Random Walk Model for First Passage Probability, J. Engrg. Mech. Div., ASCE, 97, 791-807.
    • (1971) J. Engrg. Mech. Div., ASCE , vol.97 , pp. 791-807
    • Toland, R.H.1    Yang, C.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.