Second-order discretization schemes of stochastic differential systems for the computation of the invariant law

@article{Talay1990SecondorderDS,
  title={Second-order discretization schemes of stochastic differential systems for the computation of the invariant law},
  author={Denis Talay},
  journal={Stochastics and Stochastics Reports},
  year={1990},
  volume={29},
  pages={13-36}
}
  • D. Talay
  • Published 1990
  • Mathematics, Computer Science
  • Stochastics and Stochastics Reports
We Discretize in Time With Step-Size h a Stochastic Differential Equation Whose Solution has a Unique Invariant Probability Measure is the Solution of the Discretized System, we Give an Estimate of in Terms of h for Several Discretization Methods. In Particular, Methods Which are of Second Order for the Approximation of in Finite Time are Shown to be Generically of Second Order for the Ergodic Criterion(1). 
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