Journal article

Euler Approximations Of Anticipating Quasilinear Stochastic Differential Equations

Year:

2006

Published in:

Theory of Probability and Mathematical Statistics

Authors:

Stochastic differential equation

integral with respect to a white noise

Euler approximations

splitting-up method

We obtain the rate of convergence of Euler type approximations for an anticipating quasilinear stochastic differential equation involving the white noise integral.

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Other publications by

80 publications found

2017

Journal article

Wave Equation With A Coloured Stable Noise

Publisher: Random Operators and Stochastic Equations

Authors: Georgiy Shevchenko, Larysa Pryhara

2014

Book Chapter

On The Distribution Of Integral Functionals Of A Homogeneous Diffusion Process

Publisher: Bocconi & Springer Series

Authors: Georgiy Shevchenko, M. Perestyuk, Yulia Mishura

2011

Journal article

Real Harmonizable Multifractional Stable Process And Its Local Properties

Publisher: Stochastic Processes and their Applications

Authors: Georgiy Shevchenko, Marco Dozzi, Yulia Mishura, Kostiantyn Ral’chenko

2022

Journal article

Tail Measures And Regular Variation

Publisher: Electronic Journal of Probability

Authors: Georgiy Shevchenko, Martin Bladt, Enkelejd Hashorva

2020

Journal article

Limit Theorems For Additive Functionals Of Continuous Time Random Walks

Publisher: Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Authors: Georgiy Shevchenko, Yuri M. Zhukov, Yulia Mishura

2016

Journal article

Approximations For A Solution To Stochastic Heat Equation With Stable Noise

Publisher: Modern Stochastics: Theory and Applications

Authors: Georgiy Shevchenko, Larysa Pryhara

2014

Working paper

Fractional Brownian Motion In A Nutshell

Publisher: arxiv

Authors: Georgiy Shevchenko

2013

Journal article

Malliavin Regularity Of Solutions To Mixed Stochastic Differential Equations

Publisher: Statistics & Probability Letters

Authors: Georgiy Shevchenko, Taras Shalaiko

2015

Journal article

Convergence Of Solutions Of Mixed Stochastic Delay Differential Equations With Applications

Publisher: Applied Mathematics and Computation

Authors: Georgiy Shevchenko, Yulia Mishura, Taras Shalaiko

2022

Journal article

The Harmonic Mean Formula For Random Processes

Publisher: Stochastic Analysis and Applications

Authors: Georgiy Shevchenko, Enkelejd Hashorva, Krzysztof Bisewski