[Turkmath:6296] Re: (no subject)

Sun Dec 3 12:17:31 UTC 2023

Dear Colleagues!
You are cordially invited to the  Weekly Online Seminar “Analysis and
Applied Mathematics” on

Date: Tuesday, December 05, 2023

Time: 12.00-13.00 (Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty)

 Place:
Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
 Speaker:   Prof. Dr. Ozgur Yildirim, Yildiz Technical University,
Istanbul, Türkiye
Title: : On the asymptotic solutions and high order uniform difference
schemes of perturbation problems for hyperbolic
equations.
Abstract: The abstract initial value perturbation problem
𝜀^2 𝑢′′(𝑡) + 𝐴(𝑡) = 𝑓(𝑡), 0 < 𝑡 < 𝑇,
𝑢(0) = 𝜑, 𝑢′(0) = 𝜓
for hyperbolic equations is studied. The self adjoint positive definite
operator 𝐴 in a Hilbert
space 𝐻 is considered. An arbitrarily small parameter 𝜀 ∈ (0, ∞)
multiplying the highest derivative term is considered. An asymptotic
solution to the problem is presented. The uniform
high-order two-step difference schemes corresponding to this problem are
obtained. This
work covers the general perturbation theory of uniform difference schemes
on hyperbolic
partial differential equations. The theoretical results are verified by the
numerical implementations using Matlab. The error results of the numerical
experiments are also presented.
This is a joint work with Prof. Dr. Allaberen Ashyralyev (BAU)
Abstracts and forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
Turkiye**  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkiye*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*

On Sat, 18 Nov 2023 at 23:37, Allaberen Ashyralyev <
Allaberen.Ashyralyev at listweb.bilkent.edu.tr> wrote:

> Dear Colleagues!
> You are cordially invited to the  Weekly Online Seminar “Analysis and
> Applied Mathematics” on
>
> Date: Tuesday, November 21, 2023
>
> Time: 12.00-13.00 (Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty)
>
>  Place: Meeting room of Faculty of Engineering and Natural Sciences,
> Bahçeşehir University, D-415
> Zoom link:
> https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
> Conference ID: 667 827 0445, Access code: 1
>  Speaker:   PhD candidate Y. Kanagatov al-Farabi Kazakh National
> University, Almaty, Kazakhstan
> Title: Using adjoint equations to increase the accuracy of the fictitious
> domain method
> Abstract: One of the broad areas of research of computational mathematics
> is numerical solution of problems of mathematical physics with a
> curvilinear domain. One of the methods of solving such problems is the
> finite difference method by using the fictitious domain. The fictitious
> domain method is a method of simplifying a geometrically complex original
> area by replacing the given area with a geometrically simple area, for
> example, a rectangle or parallelogram. In this method, the assumption is
> often made that the boundary condition on the fictitious boundary is equal
> to zero or is equal to the boundary condition on the original boundary.
> Thus, the fictitious domain method has the problem that the boundary
> condition at the original boundary is not satisfied due to an assumption.
> The subject of the presentation is updating this method by taking into
> account the boundary condition on the original boundary. For this purpose,
> the functional of the difference between the calculated and actual boundary
> condition is minimized using the adjoint equation.
> Title: Regularity for elliptic equations under minimal assumptions
> Abstracts and forthcoming talks can be found on our webpage
> https://sites.google.com/view/aam-seminars
> With my best wishes
> *Prof. Dr. Allaberen Ashyralyev *
> *Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
> Turkiye**  and **Near East University, Lefkoşa(Nicosia), Mersin 10
> Turkiye*
> *Peoples' Friendship University of Russia (RUDN University),** Ul
> Miklukho Maklaya 6, Moscow 117198, Russian Federation *
> *Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
> Kazakhstan*
> *e-mail: allaberen.ashyralyev at bau.edu.tr
> <allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
> <aallaberen at gmail.com> *
>  http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev
>
> https://sites.google.com/view/aam-seminars
> https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
> *icaam-online.org <http://icaam-online.org>*
>
> *https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
> <https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
> _______________________________________________
> Turkmath mailing list
> Turkmath at listweb.bilkent.edu.tr
> http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/listinfo/turkmath
>
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