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Volumn 2, Issue 2, 1996, Pages 93-128

The law of the Euler scheme for stochastic differential equations: II. Convergence rate of the density

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EID: 0002308425     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: 10.1515/mcma.1996.2.2.93     Document Type: Article
Times cited : (166)

References (14)
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    • V. Bally and D. Talay. The Euler scheme for stochastic differential equations: error analysis with Malliavin calculus. Mathematics and Computers in Simulation, (1995), 38, 35-41.
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    • Bally, V.1    Talay, D.2
  • 4
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    • The law of the Euler scheme for stochastic differential equations (I): Convergence rate of the distribution function
    • V. Bally and D. Talay. The law of the Euler scheme for stochastic differential equations (I): convergence rate of the distribution function. Probability Theory and Related Fields, (1996), 104, 1.
    • (1996) Probability Theory and Related Fields , vol.104 , pp. 1
    • Bally, V.1    Talay, D.2
  • 5
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    • Rate of convergence of a stochastic particle method for the Kolmogorov equation with variable coefficients
    • P. Bernard, D. Talay, and L. Tubaro. Rate of convergence of a stochastic particle method for the Kolmogorov equation with variable coefficients. Math. Comp., (1994), 63, 208, 555-587.
    • (1994) Math. Comp , vol.63 , Issue.208 , pp. 555-587
    • Bernard, P.1    Talay, D.2    Tubaro, L.3
  • 6
    • 85045502643 scopus 로고    scopus 로고
    • Convergence rate for the approximation of the limit law of weakly interacting particles: Application to the Burgers equation
    • To appear
    • M. Bossy and D. Talay. Convergence rate for the approximation of the limit law of weakly interacting particles: application to the Burgers equation. Ann. Appl. Probab., To appear.
    • Ann. Appl. Probab
    • Bossy, M.1    Talay, D.2
  • 10
    • 0002556345 scopus 로고
    • Applications of the Malliavin Calculus, part II
    • S. Kusuoka and D. Stroock. Applications of the Malliavin Calculus, part II. J. Fac. Sei. Univ. Tokyo, (1985), 32, 1-76.
    • (1985) J. Fac. Sei. Univ. Tokyo , vol.32 , pp. 1-76
    • Kusuoka, S.1    Stroock, D.2
  • 11
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    • Malliavin Calculus and Related Topics
    • Springer-Verlag
    • D. Nualart. Malliavin Calculus and Related Topics. Probability and its Applications. Springer-Verlag, (1995).
    • (1995) Probability and Its Applications
    • Nualart, D.1
  • 13
    • 0003208202 scopus 로고
    • Simulation and numerical analysis of stochastic differential systems: A review
    • P. Krée and W. Wedig, editors chap. 3 Springer-Verlag
    • D. Talay. Simulation and numerical analysis of stochastic differential systems: a review. In P. Krée and W. Wedig, editors, Probabilistic Methods in Applied Physics, volume 451 of Lecture Notes in Physics, chap. 3, p. 54-96. Springer-Verlag, (1995).
    • (1995) Probabilistic Methods in Applied Physics, Volume 451 of Lecture Notes in Physics , pp. 54-96
    • Talay, D.1
  • 14
    • 0000124397 scopus 로고
    • Expansion of the global error for numerical schemes solving stochastic differential equations
    • D. Talay and L. Tubaro. Expansion of the global error for numerical schemes solving stochastic differential equations. Stochastic Analysis and Applications, (1990), 8, 4, 94-120.
    • (1990) Stochastic Analysis and Applications , vol.8 , Issue.4 , pp. 94-120
    • Talay, D.1    Tubaro, L.2


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