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Wong-Zakai Corrections, Random Evolutions, and Simulation Schemes for SDE's
5 references·16 citing·41 second hop
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this work references cited by second hop

References

  • 2014Stochastic Integration and Differential Equations : A New Approach686 cited
  • 1965On the Convergence of Ordinary Integrals to Stochastic Integrals684 cited
  • 1991Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations546 cited
  • 1985Discretization and simulation of stochastic differential equations197 cited
  • 1989Convergence en loi des suites d'intégrales stochastiques sur l'espace $$\mathbb{D}$$ 1 de Skorokhod192 cited

Cited by

  • 2003An Introduction to Rough Paths102 cited
  • 2007Exact Rate of Convergence of Some Approximation Schemes Associated to SDEs Driven by a Fractional Brownian Motion100 cited
  • 1996Weak convergence of stochastic integrals and differential equations89 cited
  • 2005The approximate Euler method for Lévy driven stochastic differential equations84 cited
  • 1995Almost sure approximation of Wong-Zakai type for stochastic partial differential equations81 cited
  • 2004The Euler scheme for Lévy driven stochastic differential equations: limit theorems73 cited
  • 2016Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions69 cited
  • 2002Numerical simulation of the solution of a stochastic differential equation driven by a Lévy process64 cited
  • 2004The Euler scheme for Lévy driven stochastic differential equations : limit theorems

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63 cited
  • 1996Weak convergence of stochastic integrals and differential equations II: Infinite dimensional case61 cited
  • 2010Realized volatility with stochastic sampling49 cited
  • 2000Explicit form and robustness of martingale representations48 cited
  • 2019First-order Euler scheme for SDEs driven by fractional Brownian motions: The rough case38 cited
  • 1998Weak consistency of the Euler method for numerically solving stochastic differential equations with discontinuous coefficients37 cited
  • 2009Milstein’s type schemes for fractional SDEs33 cited
  • 2011Discretization error of stochastic integrals32 cited