Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Sytnyk, Dmytro"'
Publikováno v:
Proceedings of A. Razmadze Mathematical Institute 21, no. 1 (2016): 18-32
Problem for the first order differential equation with an unbounded operator coefficient in Banach space and nonlinear nonlocal condition is considered. A numerical method is proposed and justified for the solution of this problem under assumptions t
Externí odkaz:
http://arxiv.org/abs/2408.13944
Intracranial aneurysms are the leading cause of hemorrhagic stroke. One of the established treatment approaches is the embolization induced by coil insertion. However, the prediction of treatment and subsequent changed flow characteristics in the ane
Externí odkaz:
http://arxiv.org/abs/2402.10809
Autor:
Sytnyk, Dmytro, Wohlmuth, Barbara
We consider a Cauchy problem for the inhomogeneous differential equation given in terms of an unbounded linear operator $A$ and the Caputo fractional derivative of order $\alpha \in (0, 2)$ in time. The previously known representation of the mild sol
Externí odkaz:
http://arxiv.org/abs/2308.16081
Autor:
Sytnyk, Dmytro, Wohlmuth, Barbara
Publikováno v:
Mathematics 11, no. 10: 2312 (2023)
We present an exponentially convergent numerical method to approximate the solution of the Cauchy problem for the inhomogeneous fractional differential equation with an unbounded operator coefficient and Caputo fractional derivative in time. The nume
Externí odkaz:
http://arxiv.org/abs/2304.13099
Autor:
Sytnyk, Dmytro
Publikováno v:
Journal of Numerical and Applied mathematics, 2017, 3 (126)
An extension of sinc interpolation on $\mathbb{R}$ to the class of algebraically decaying functions is developed in the paper. Similarly to the classical sinc interpolation we establish two types of error estimates. First covers a wider class of func
Externí odkaz:
http://arxiv.org/abs/1809.07369
Autor:
Sytnyk, Dmytro
We present a new parallel numerical method for solving the non-stationary Schr\"odinger equation with linear nonlocal condition and time-dependent potential which does not commute with the stationary part of the Hamiltonian. The given problem is disc
Externí odkaz:
http://arxiv.org/abs/1809.01516
Autor:
Sytnyk, Dmytro, Melnik, Roderick
Modern applications require a robust and theoretically solid tool for the realistic modeling of electronic states in low dimensional nanostructures. The $k \cdot p$ theory has fruitfully served this role for the long time since its establishment. Dur
Externí odkaz:
http://arxiv.org/abs/1808.06988
Autor:
Sytnyk, Dmytro, Melnik, Roderick
A nonlocal-in-time problem for the abstract Schr\"odinger equation is considered. By exploiting the linear nature of nonlocal condition we derive an exact representation of the solution operator under assumptions that the spectrum of Hamiltonian is c
Externí odkaz:
http://arxiv.org/abs/1609.08670
This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to
Externí odkaz:
http://arxiv.org/abs/1406.5417
Modern applications require a robust and theoretically strong tool for the realistic modeling of electronic states in low dimensional nanostructures. The $k \cdot p$ theory has fruitfully served this role for the long time since its creation. During
Externí odkaz:
http://arxiv.org/abs/1004.4152