% Encoding: windows-1251
@Article{sincSytnykUA2016,
author = {Ситник, Д. О.},
title = {Нерівномірна {S}inc–апроксимацiя},
journal = {{Збірник праць Інституту математики НАН України}},
year = {2016},
volume = {13},
number = {3},
pages = {169-182},
language = {ukrainian},
owner = {d314},
timestamp = {2015.12.13},
}
@PhdThesis{PhdThSytnykEN,
author = {Sytnyk, D. O.},
title = {Exponentially convergent methods for the nonlocal abstract Cauchy problem and nonlinear boundary value problems.},
school = {Institute of Mathematics, National Academy of Sciences},
year = {2012},
type = {{PhD thesis in Computational Mathematics}},
address = {Kyiv},
note = {{in Ukrainian}},
comment = {[Info and related materials]},
language = {english},
numpages = {131},
owner = {d314},
timestamp = {2014.04.27},
}
@PhdThesis{PhdThSytnykUA,
author = {Ситник, Дмитро Олексійович},
title = {Експоненціально збіжні методи для нелокальної абстрактної задачі Коші та нелінійних крайових задач},
school = {Ін-т математики {НАН} {України}},
year = {2012},
type = {Дисертація на здобуття наукового ступеня кандидата фізико-математичних наук},
address = {Київ},
comment = {[Info and related materials]},
language = {ukrainian},
number = {01.01.07},
numpages = {131},
owner = {d314},
timestamp = {2012.07.17},
}
@MastersThesis{MThSytnyk2010,
author = {Sytnyk, Dmytro},
title = {Mathematical modeling of quantum dots with generalized envelope functions approximations and coupled partial differential equations},
school = {Wilfrid Laurier University (Canada)},
year = {2010},
type = {Master's Thesis},
month = {December},
language = {english},
owner = {d314},
timestamp = {2011.05.09},
url = {http://proquest.umi.com/pqdlink?did=2099346551&Fmt=7&clientId=27850&RQT=309&VName=PQD},
}
@Book{bVasylyk2011_en,
title = {Functional-Discrete method for the solution of operator equations and its applications},
publisher = {Naukova Dumka},
year = {2011},
author = {Vasylyk, V. B. and Dragunov, D. V. and Sytnyk, D. O},
note = {{in Ukrainian}},
language = {english},
numpages = {175},
owner = {d314},
timestamp = {2013.09.27},
}
@Book{bVasylykUA2011,
title = {Функціонально-дискретний метод розв’язування операторних рівнянь та його засто-сування},
publisher = {Наукова думка},
year = {2011},
author = {Василик, В. Б. and Драгунов, Д. В. and Ситник, Д. О.},
language = {ukrainian},
numpages = {175},
owner = {d314},
timestamp = {2015.11.30},
}
@Article{fin_val_mpoint_regMakarovUA2015,
author = {Макаров, В. Л. and Василик, В. Б. and Ситник, Д. О.},
title = {Експоненцiально збiжний метод для диференцiального рiвняння першого порядку в банаховому просторi з необмеженим оператором у нелокальнiй умовi},
journal = {{Збірник праць Інституту математики НАН України}},
year = {2015},
volume = {12},
number = {5},
pages = {32-45},
language = {ukrainian},
owner = {d314},
timestamp = {2015.12.16},
}
@Article{Gav_Laz_Mak_Sytn_2008,
author = {Gavrilyuk, I. P. and Lazurchak, I. I. and Makarov, V. L. and Sytnyk, D. O.},
title = {A method with a controllable exponential convergence rate for nonlinear differential operator equations},
journal = {Comput. Methods Appl. Math.},
year = {2009},
volume = {9},
number = {1},
pages = {63--78},
doi = {10.2478/cmam-2009-0004},
fjournal = {Computational Methods in Applied Mathematics},
issn = {1609-4840},
language = {english},
mrclass = {65J15 (34B15 34G20 47J25)},
mrnumber = {2641311 (2011b:65086)},
mrreviewer = {Igor Bock},
owner = {d314},
timestamp = {2012.02.10},
}
@Article{Gavrilyuk2010,
author = {Gavrilyuk, I. P. and Makarov, V. L. and Sytnyk, D. O. and Vasylyk, V. B.},
title = {Exponentially Convergent Method for the m-Point Nonlocal Problem for a First Order Differential Equation in Banach Space},
journal = {{Numerical Functional Analysis and Optimization}},
year = {2010},
volume = {31},
number = {1},
pages = {1--21},
doi = {10.1080/01630560903499019},
language = {english},
owner = {d314},
publisher = {Taylor \& Francis},
timestamp = {2010.05.05},
url = {http://www.informaworld.com/10.1080/01630560903499019},
}
@Article{iter_approxSytnykUA2015,
author = {Ситник, Д. О.},
title = {Метод ітеративної апроксимації функцій з використанням інтерполянтів у банахових просторах},
journal = {{Збірник праць Інституту математики НАН України}},
year = {2015},
volume = {12},
number = {5},
pages = {140-159},
language = {ukrainian},
owner = {d314},
timestamp = {2015.12.16},
}
@Article{jcsmd_Sytnyk2014,
author = {Sytnyk, Dmytro},
title = {Modelling of quantum dots and low dimensional nanostructures as coupled systems},
journal = {J. Coupled Syst. Multiscale Dyn.},
year = {2014},
volume = {2},
number = {4},
pages = {188-213},
month = {dec},
doi = {10.1166/jcsmd.2014.1055},
language = {english},
owner = {d314},
publisher = {American Scientific Publishers},
timestamp = {2015.05.20},
url = {http://dx.doi.org/10.1166/jcsmd.2014.1055},
}
@Article{kpEllptArxSytnyk2010,
author = {{Sytnyk}, D. and {Patil}, S. and {Melnik}, R.},
title = {{Multiband Hamiltonians of the Luttinger-Kohn Theory and Ellipticity Requirements}},
journal = {ArXiv e-prints},
year = {2010},
month = {apr},
adsnote = {Provided by the SAO/NASA Astrophysics Data System},
adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1004.4152S},
archiveprefix = {arXiv},
comment = {[Info and related materials]},
eprint = {1004.4152},
keywords = {Condensed Matter - Materials Science, Physics - Atomic and Molecular Clusters, Quantum Physics},
language = {english},
owner = {d314},
primaryclass = {cond-mat.mtrl-sci},
timestamp = {2011.05.09},
}
@Article{Laz_Mak_Sytn_2008,
author = {Lazurchak, I. I. and Makarov, V. L. and Sytnyk, D.},
title = {Two-sided approximations for nonlinear operator equations},
journal = {Comput. Methods Appl. Math.},
year = {2008},
volume = {8},
number = {4},
pages = {386--392},
doi = {10.2478/cmam-2008-0028},
fjournal = {Computational Methods in Applied Mathematics},
issn = {1609-4840},
language = {english},
mrclass = {65J15},
mrnumber = {2604751 (2011b:65088)},
owner = {d314},
timestamp = {2012.04.17},
}
@Article{nonloc_exMVS2014,
author = {Makarov, V. L. and Sytnyk, D. O. and Vasylyk, V. B.},
title = {Existence of the solution to a nonlocal-in-time evolutional problem},
journal = {{Nonlinear Analysis: Modelling and Control}},
year = {2014},
volume = {19},
number = {3},
pages = {432-447},
month = {sep},
comment = {[Info and related materials]},
doi = {10.15388/na.2014.3.8},
language = {english},
owner = {d314},
publisher = {Vilnius University Press},
timestamp = {2014.06.29},
url = {http://arxiv.org/abs/1406.5417},
}
@Article{pollSytnykUA2014,
author = {Макаров, В. Л. and Василик, В. Б. and Ситник, Д. О.},
title = {Швидкодіючий алгоритм для моделювання динаміки розповсюдження викидів в атмосферу від зосереджених джерел},
journal = {{Збірник праць Інституту математики НАН України}},
year = {2014},
volume = {11},
number = {4},
pages = {176-197},
language = {ukrainian},
owner = {d314},
timestamp = {2015.03.17},
}
@Article{sinc_refSytnykUA2014,
author = {Ситник, Д. О.},
title = {Ефективне використання попередньо обчислених даних у схемi iтеративної Sinc–апроксимацiї},
journal = {{Збірник праць Інституту математики НАН України}},
year = {2014},
volume = {11},
number = {4},
pages = {266-279},
language = {ukrainian},
owner = {d314},
timestamp = {2015.11.30},
}
@Article{schrod_num_Sytnyk2017,
author = {Dmytro Sytnyk},
title = {{Parallel approximation for abstract time-dependent Schr\"odinger equation}},
journal = {Mathematics of Computation},
year = {2018},
note = {to appear},
language = {english},
owner = {d314},
timestamp = {2013.08.25},
}
@Article{MakarovSytnykVasylyk2016,
author = {Makarov, V. L. and Sytnyk, D. O. and Vasylyk, V. B.},
title = {{Exponentially convergent method for abstract Cauchy problem with nonlinear nonlocal condition}},
journal = {Proceedings of A. Razmadze Mathematical Institute},
year = {2016},
volume = {21},
number = {1},
pages = {18--32},
owner = {DSytnyk},
timestamp = {2016-11-03},
url = {http://www.viam.science.tsu.ge/Ami/2016_1/Makarov%20V._Sytnyk%20D._Vasylyk%20V._AMIM_2016_1.pdf},
}
@Misc{SytnykMelnik2018,
author = {Sytnyk, D. and Melnik, R.},
title = {{Linear nonlocal problem for the abstract time-dependent non-homogeneous Schr\"odinger equation}},
year = {2018},
archiveprefix = {arXiv},
eprint = {1609.08670},
language = {english},
owner = {DSytnyk},
primaryclass = {math-ph},
timestamp = {2016-11-03},
url = {https://arxiv.org/abs/1609.08670},
}
@Article{MakVasSyt2016,
author = {Макаров, В. Л. and Василик, В. Б. and Ситник, Д. О.},
title = {Паралельний чисельний алгоритм для абстрактного диференціального рівняння з умовою у кінцевий момент часу, який базується на нелокальній регуляризації},
journal = {{Збірник праць Інституту математики НАН України}},
year = {2016},
volume = {13},
number = {3},
pages = {211-226},
language = {ukrainian},
owner = {d314},
timestamp = {2015.12.13},
}
@Article{sincSytnykUA2016en,
author = {Sytnyk, D.},
title = {Nonuniform {S}inc approximation},
journal = {{Collected works of Institute of mathematics NAS of Ukraine}},
year = {2016},
volume = {13},
number = {3},
pages = {169-182},
note = {{in Ukrainian}},
language = {english},
owner = {d314},
timestamp = {2015.12.13},
}
@Article{MakVasSyt2016en,
author = {Makarov, V. L. and Vasylyk, V. B. and Sytnyk, D. O.},
title = {Parallel numerical method for abstract final value problem based on nonlocal regularization},
journal = {{Collected works of Institute of mathematics NAS of Ukraine}},
year = {2016},
volume = {13},
number = {3},
pages = {211-226},
note = {{in Ukrainian}},
language = {english},
owner = {d314},
timestamp = {2015.12.13},
}
@Article{iter_approxSytnykUA2015en,
author = {Sytnyk, D.},
title = {Method of iterative approximation of functions based on interpolation in {B}anach spaces},
journal = {{Collected works of Institute of mathematics NAS of Ukraine}},
year = {2015},
volume = {12},
number = {5},
pages = {140-159},
note = {{in Ukrainian}},
language = {english},
owner = {d314},
timestamp = {2015.12.16},
}
@Article{fin_val_mpoint_regMakarovUA2015en,
author = {Makarov, V. L. and Vasylyk, V. B. and Sytnyk, D. O.},
title = {Exponentially convergent method for first order differential equation in banach space with unbounded operator in the nonlocal condition},
journal = {{Collected works of Institute of mathematics NAS of Ukraine}},
year = {2015},
volume = {12},
number = {5},
pages = {32-45},
note = {{in Ukrainian}},
language = {english},
owner = {d314},
timestamp = {2015.12.16},
}
@Article{sinc_refSytnykUA2014en,
author = {Sytnyk, D.},
title = {Effective utilization of previously calculated data in the scheme of iterative {S}inc approximation},
journal = {{Collected works of Institute of mathematics NAS of Ukraine}},
year = {2014},
volume = {11},
number = {4},
pages = {266-279},
note = {{in Ukrainian}},
language = {english},
owner = {d314},
timestamp = {2015.11.30},
}
@Article{pollSytnykUA2014en,
author = {Makarov, V. L. and Vasylyk, V. B. and Sytnyk, D. O.},
title = {Fast algorithm for modeling of atmospheric pollution dynamics with point source emissions},
journal = {{Collected works of Institute of mathematics NAS of Ukraine}},
year = {2014},
volume = {11},
number = {4},
pages = {176-197},
note = {{in Ukrainian}},
language = {english},
owner = {d314},
timestamp = {2015.03.17},
}
@Article{DNASMakGavLazSytnUA2009,
author = {Макаров, В. Л. and Гаврилюк, І. П. and Лазурчак І. І. and Ситник, Д. О.},
title = {Функціонально-дискретний метод для нелінійних операторних та диференціальних рівнянь},
journal = {Доповіді НАН України},
year = {2009},
number = {1},
pages = {26--34},
language = {ukrainian},
owner = {DSytnyk},
timestamp = {2017-02-13},
}
@Article{GavrilyukLazurchakMakarovEtAl2009,
author = {Gavrilyuk, I. and Lazurchak, I. and Makarov, V. and Sytnyk, D.},
title = {An exponentially convergent method for nonlinear operator equations: two-sided approximations and global convergence},
journal = {Computer sciences and telecommunications},
year = {2009},
number = {4},
pages = {31--53},
owner = {DSytnyk},
timestamp = {2017-02-13},
}
@Article{VasylykSytnykUA2006,
author = {Василик, В. Б. and Ситник, Д. О.},
title = {Експоненційно збіжний метод для апроксимації інтегралів зі змінною межею інтегрування},
journal = {{Збірник праць Інституту математики НАН України}},
year = {2006},
volume = {3},
number = {1},
pages = {54-63},
language = {ukrainian},
owner = {DSytnyk},
timestamp = {2017-02-13},
}
@Conference{confAMMCS_Sytnyk2013,
author = {Sytnyk, D. and Melnik, R. and Prabhakar, S.},
title = {Parallel numerical method for time-dependent Schrodinger equation with application to quantum heterostructures},
booktitle = {{The International Conference on Applied Mathematics, Modeling and Computational Science, Book of Abstracts}},
year = {2013},
pages = {592},
address = {Waterloo, Canada},
month = {August 26-30},
isbn = {978-0-9918856-0-2},
language = {english},
owner = {d314},
timestamp = {2013.09.27},
}
@Conference{confDrog_Sytnyk2011,
author = {Sytnyk, D.},
title = {Improved Numerical Method for the Nonlocal Abstract Cauchy Problem with Time Dependent Operator Coefficient},
booktitle = {{International Skorobohat'ko Mathematical Conference}},
year = {2011},
address = {Drogobych, Ukraine},
month = {September 19 -23},
note = {{in Ukrainian}},
language = {english},
owner = {d314},
timestamp = {2013.09.27},
}
@Conference{confOES_Sytnyk2006,
author = {Dmytro Sytnyk and Vitalii Vasylyk},
title = {Exponentially convergent algorithm for solving parabolic BVP with non local boundary conditions.},
booktitle = {Third international conference ”Open evolutional systems”},
year = {2006},
address = {Kiev},
note = {{in ukrainian}},
language = {english},
owner = {d314},
timestamp = {2013.09.27},
}
@Conference{confSIGMA_Sytnyk2010,
author = {Sytnyk, D. and Melnik, R.},
title = {Ellipticity conditions in multiband Hamiltonian problems for the analysis of low dimensional nanostructures},
booktitle = {{International Conference on FunctionalAnalysis Dedicated to 90th Anniversaryof V. E. Lyantse}},
year = {2010},
pages = {43},
address = {Lviv},
month = {November 17 - 21},
language = {english},
owner = {d314},
timestamp = {2013.09.27},
}
@Conference{confSiNMP_Sytnyk2009,
author = {Sytnyk, D. and Melnik, R.},
title = {Multiband Hamiltonians of the Luttinger-Kohn theory and ellipticity requirements},
booktitle = {VIIIth International Conference ”Symmetry in Nonlinear Mathematical Physics”},
year = {2009},
address = {Kiev},
organization = {Institute of Mathematics},
language = {english},
owner = {d314},
timestamp = {2013.09.27},
url = {http://www.imath.kiev.ua/~appmath/Abstracts2009/Melnik.html},
}
@Conference{confUCCM_Sytnyk2009,
author = {Sytnyk, D. and Melnik, R.},
title = {Inverse problems for multiband modeling and design of low dimensional nanostructures},
booktitle = {10th US Congress on Computational Mechanics},
year = {2009},
address = {Columbus, Ohio, USA},
month = {July},
language = {english},
owner = {d314},
timestamp = {2013.09.27},
}
@Conference{confYoung_Sytnyk2015,
author = {Sytnyk, D.},
title = {Parallel numerical method for time-dependent {S}chrodinger equation},
booktitle = {International Conference of young Mathematicians},
year = {2015},
address = {Kyiv, Ukraine},
month = {June 3-6},
language = {english},
owner = {d314},
timestamp = {2013.09.27},
}
@Article{Sytnyk2017,
author = {Sytnyk, Dmytro},
title = {Sinc approximation of algebraically decaying functions},
journal = {{Journal of Numerical and Applied Mathematics}},
year = {2017},
number = {3 (126)},
pages = {124-133},
language = {english},
owner = {d314},
timestamp = {2017-12-08},
}
@Article{Sytnyk2017a,
author = {Sytnyk, Dmytro},
title = {Parallel numerical method for nonlocal-in-time Schr{\"o}dinger equation},
journal = {Journal of Coupled Systems and Multiscale Dynamics},
year = {2017},
number = {2-4},
pages = {204--211},
archiveprefix = {arXiv},
doi = {10.1166/jcsmd.2017.1140},
eprint = {1809.01516},
publisher = {American Scientific Publishers},
}
@Comment{jabref-meta: databaseType:bibtex;}