Error analysis for approximations to one-dimensional SDEs via the perturbation method
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Publication:2176813
zbMath1434.65013arXiv1911.11402MaRDI QIDQ2176813
Shigeki Aida, Nobuaki Naganuma
Publication date: 5 May 2020
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.11402
Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stochastic integrals (60H05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
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- Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions
- Central and non-central limit theorems for weighted power variations of fractional Brownian motion
- Asymptotic error distributions of the Crank-Nicholson scheme for SDEs driven by fractional Brownian motion
- Milstein's type schemes for fractional SDEs
- Differential equations driven by rough signals
- Forward, backward and symmetric stochastic integration
- First-order Euler scheme for SDEs driven by fractional Brownian motions: the rough case
- Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
- A change of variable formula with Itô correction term
- Convergence rates for the full Gaussian rough paths
- Correcting Newton-Côtes integrals by Lévy areas
- Exact rate of convergence of some approximation schemes associated to SDEs driven by a fractional Brownian motion
- \(m\)-order integrals and generalized Itô's formula; the case of a fractional Brownian motion with any Hurst index
- Representation formulas for Malliavin derivatives of diffusion processes
- From Rough Path Estimates to Multilevel Monte Carlo
- The Malliavin Calculus and Related Topics
- The rate of convergence for Euler approximations of solutions of stochastic differential equations driven by fractional Brownian motion
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