% 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   = {<a href="http://www.imath.kiev.ua/~sytnik/research/works/phd-thesis-2012.html">[Info and related materials]</a>},
  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   = {<a href="http://www.imath.kiev.ua/~sytnik/research/works/phd-thesis-2012.html">[Info and related materials]</a>},
  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       = {<a href="http://www.imath.kiev.ua/~sytnik/research/works/2013/04/01/phd-thesis-2012.html">[Info and related materials]</a>},
  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   = {<a href="http://www.imath.kiev.ua/~sytnik/research/works/nonlocal-2014">[Info and related materials]</a>},
  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;}