Rate of convergence in the Euler scheme for stochastic differential equations with non-Lipschitz diffusion and Poisson measure
We study the rate of convergence and some other properties of the Euler scheme for stochastic differential equations with the non-Lipschitz diffusion and the Poisson measure.
Saved in:
| Date: | 2011 |
|---|---|
| Main Authors: | Zubchenko, V. P., Mishura, Yu. S., Зубченко, В. П., Мішура, Ю. С. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2697 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Entire solutions of the Euler—Poisson equations
by: Belyaev, A.V.
Published: (2004)
by: Belyaev, A.V.
Published: (2004)
Entire solutions of the euler—poisson equations
by: Belyaev, A. V., et al.
Published: (2004)
by: Belyaev, A. V., et al.
Published: (2004)
On the rate of convergence of stochastic approximation procedures
by: Koval, V. A., et al.
Published: (1994)
by: Koval, V. A., et al.
Published: (1994)
On the rate of convergence of an unstable solution of a stochastic differential equation
by: Mynbaeva, G. U., et al.
Published: (1994)
by: Mynbaeva, G. U., et al.
Published: (1994)
Long-term returns in stochastic interest rate models
by: Zubchenko, V.
Published: (2007)
by: Zubchenko, V.
Published: (2007)
Stochastic Systems with Averaging in the Scheme of Diffusion Approximation
by: Korolyuk, V. S., et al.
Published: (2005)
by: Korolyuk, V. S., et al.
Published: (2005)
Stability of stochastic systems in the diffusion-approximation scheme
by: Korolyuk, V. S., et al.
Published: (1998)
by: Korolyuk, V. S., et al.
Published: (1998)
On the convergence of difference schemes for the diffusion equation of fractional order
by: Bechelova, A. R., et al.
Published: (1998)
by: Bechelova, A. R., et al.
Published: (1998)
Uniform approximations of functions of Lipschitz class by threeharmonic Poisson integrals
by: U. Z. Grabova
Published: (2017)
by: U. Z. Grabova
Published: (2017)
Darboux problem for the generalized Euler–Poisson–Darboux equation
by: A. I. Ismoilov, et al.
Published: (2017)
by: A. I. Ismoilov, et al.
Published: (2017)
Darboux problem for the generalized Euler –
Poisson – Darboux equation
by: Ismoilov, A. I., et al.
Published: (2017)
by: Ismoilov, A. I., et al.
Published: (2017)
A strongly convergent modified extra-gradient method for variational inequalities with non-Lipschitz operators
by: D. A. Verlan, et al.
Published: (2015)
by: D. A. Verlan, et al.
Published: (2015)
Asymptotic behavior of jumping stochastic procedure in the diffusion approximation scheme
by: P. P. Horun
Published: (2014)
by: P. P. Horun
Published: (2014)
Euler Approximations of Solutions of Abstract Equations and Their Applications in the Theory of Semigroups
by: Mishura, Yu. S., et al.
Published: (2004)
by: Mishura, Yu. S., et al.
Published: (2004)
On convergence of accelerated Newton method under the generalized Lipschitz conditions
by: S. M. Shakhno
Published: (2014)
by: S. M. Shakhno
Published: (2014)
Domain of convergence of the Euler transform for the power series of an analytic function
by: Sukhorolskyi, M. A., et al.
Published: (2008)
by: Sukhorolskyi, M. A., et al.
Published: (2008)
Invariance principle for one class of Markov chains with fast Poisson time. Estimate for the rate of convergence
by: Baev, A. V., et al.
Published: (2006)
by: Baev, A. V., et al.
Published: (2006)
Rate of convergence of the price of European option on a market for which the jump of stock price is uniformly distributed over an interval
by: Mishura, Yu. S., et al.
Published: (2008)
by: Mishura, Yu. S., et al.
Published: (2008)
Application of the Green–Samoilenko function and operator to the study of non-Lipschitz differential equations
by: M. O. Perestiuk, et al.
Published: (2021)
by: M. O. Perestiuk, et al.
Published: (2021)
Application of the Green–Samoilenko function and operator to the study of non-Lipschitz differential equations
by: Perestyuk , M. O., et al.
Published: (2021)
by: Perestyuk , M. O., et al.
Published: (2021)
Storage processes in Poisson approximation scheme
by: Koroliuk, V.S.
Published: (2008)
by: Koroliuk, V.S.
Published: (2008)
Mean oscillations and the convergence of Poisson integrals
by: Kolyada, V. I., et al.
Published: (1997)
by: Kolyada, V. I., et al.
Published: (1997)
Stochastic Stability of Processes Determined by Poisson Differential Equations with Delay
by: Svishchuk, A. V., et al.
Published: (2002)
by: Svishchuk, A. V., et al.
Published: (2002)
Weak convergence of integral functionals of random walks weakly convergent to fractional Brownian motion
by: Mishura, Yu. S., et al.
Published: (2007)
by: Mishura, Yu. S., et al.
Published: (2007)
Convergence of diffusion processes
by: Makhno , S. Ya., et al.
Published: (1992)
by: Makhno , S. Ya., et al.
Published: (1992)
On weak convergence of stochastic differential equations with irregular coefficients
by: I. H. Krykun
Published: (2023)
by: I. H. Krykun
Published: (2023)
Convergence of solutions of stochastic differential equations to the Arratia flow
by: Malovichko, T. V., et al.
Published: (2008)
by: Malovichko, T. V., et al.
Published: (2008)
On regularization by a small noise of multidimensional ODEs with non-Lipschitz coefficients
by: A. Kulik, et al.
Published: (2020)
by: A. Kulik, et al.
Published: (2020)
On strong solutions to countable systems of SDEs with interaction and non-Lipschitz drift
by: M. V. Tantsiura
Published: (2016)
by: M. V. Tantsiura
Published: (2016)
On regularization by a small noise of multidimensional ODEs with non-Lipschitz coefficients
by: Pilipenko, A., et al.
Published: (2020)
by: Pilipenko, A., et al.
Published: (2020)
Differential equations with small stochastic supplements under Poisson approximation conditions
by: I. V. Samojlenko, et al.
Published: (2017)
by: I. V. Samojlenko, et al.
Published: (2017)
Asymptotic behavior of solutions of stochastic functional-differential equations with Poisson switchings
by: Gotinchan, G. I., et al.
Published: (1998)
by: Gotinchan, G. I., et al.
Published: (1998)
Large deviations for impulsive processes in the scheme of Poisson approximation
by: Samoilenko, I. V., et al.
Published: (2012)
by: Samoilenko, I. V., et al.
Published: (2012)
On the rate of convergence of the Ritz method for ordinary differential equations
by: Yakymiv, R. Ya., et al.
Published: (2000)
by: Yakymiv, R. Ya., et al.
Published: (2000)
Order reduction for a system of stochastic differential equations with a small parameter in the coefficient of the leading derivative. Estimate for the rate of convergence
by: Bondarev, B. V., et al.
Published: (2006)
by: Bondarev, B. V., et al.
Published: (2006)
Integral transformation of Euler-Fourier-Euler on the polar axis
by: O. M. Nikitina
Published: (2013)
by: O. M. Nikitina
Published: (2013)
Equilibrium stochastic dynamics of Poisson cluster ensembles
by: Bogachev, L., et al.
Published: (2008)
by: Bogachev, L., et al.
Published: (2008)
Approximation of functions satisfying the Lipschitz condition on a finite segment of the real axis by Poisson–Chebyshev's integrals
by: T. V. Zhigallo
Published: (2018)
by: T. V. Zhigallo
Published: (2018)
Rate of Convergence of Positive Series
by: Skaskiv, O. B., et al.
Published: (2004)
by: Skaskiv, O. B., et al.
Published: (2004)
The study of convergence of additive-averaged splitting based on the scheme of explicit solution for three-dimensional equations of convective diffusion
by: Katsalova, L.
Published: (2015)
by: Katsalova, L.
Published: (2015)
Similar Items
-
Entire solutions of the Euler—Poisson equations
by: Belyaev, A.V.
Published: (2004) -
Entire solutions of the euler—poisson equations
by: Belyaev, A. V., et al.
Published: (2004) -
On the rate of convergence of stochastic approximation procedures
by: Koval, V. A., et al.
Published: (1994) -
On the rate of convergence of an unstable solution of a stochastic differential equation
by: Mynbaeva, G. U., et al.
Published: (1994) -
Long-term returns in stochastic interest rate models
by: Zubchenko, V.
Published: (2007)