Full publications list including references in Ukrainian can be found here.

Publications (by type):

Books
1 result
2011
[1]Vasylyk, V. B., Dragunov, D. V. and Sytnyk, D. O, "Functional-Discrete method for the solution of operator equations and its applications" (in Ukrainian), Naukova Dumka, 2011. [bibtex]
Refereed Articles
22 results
2023
[22]Dmytro Sytnyk and Barbara Wohlmuth, "Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation", Fractal and Fractional, MDPI AG, vol. 7, no. 10, pp. 698, 2023.[Info and related materials] [bibtex] [doi]
[21]Sytnyk, Dmytro and Wohlmuth, Barbara, "Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type", Mathematics, vol. 11, no. 10, 2023.[Info and related materials] [bibtex] [doi]
2021
[20]Sytnyk, Dmytro and Melnik, Roderick, "Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics", Mathematical and Computational Applications, MDPI AG, vol. 26, no. 4, pp. 73, 2021.[Info and related materials] [bibtex] [doi]
2019
[19]Vasylyk, V. B., Sytnyk, D. O. and Komaschenko, N. O., "Method without accuracy saturation for the solution of nonlocal multipoint problem for first-order evolutionary differential equation in Banach space" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 16, no. 2, pp. 7-15, 2019. [bibtex]
2018
[18]Vasylyk, V. B., Sytnyk, D. O. and Komaschenko, N. O., "Exponentially convergent method for modeling of the propagation of pollution by moving sources" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 15, no. 1, pp. 7-15, 2018. [bibtex]
2017
[17]Sytnyk, Dmytro, "Parallel numerical method for nonlocal-in-time Schrödinger equation", Journal of Coupled Systems and Multiscale Dynamics, American Scientific Publishers, no. 2-4, pp. 204–211, 2017. [bibtex] [doi]
[16]Sytnyk, Dmytro, "Sinc approximation of algebraically decaying functions", Journal of Numerical and Applied Mathematics, arXiv, no. 3 (126), pp. 124-133, 2017. [bibtex] [doi]
2016
[15]Sytnyk, D., "Nonuniform Sinc approximation" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 13, no. 3, pp. 230-242, 2016. [bibtex]
[14]Makarov, V. L., Sytnyk, D. O. and Vasylyk, V. B., "Exponentially convergent method for abstract Cauchy problem with nonlinear nonlocal condition", Proceedings of A. Razmadze Mathematical Institute, vol. 21, no. 1, pp. 18-32, 2016.[Info and related materials] [bibtex] [pdf] [doi]
[13]Makarov, V. L., Vasylyk, V. B. and Sytnyk, D. O., "Parallel numerical method for abstract final value problem based on nonlocal regularization" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 13, no. 3, pp. 211-226, 2016. [bibtex] [pdf]
2015
[12]Sytnyk, D., "Method of iterative approximation of functions based on interpolation in Banach spaces" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 12, no. 5, pp. 140-159, 2015. [bibtex]
[11]Makarov, V. L., Vasylyk, V. B. and Sytnyk, D. O., "Exponentially converging method for a differential equation of the first order in the Banach space with an unbounded operator in a non-local condition" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 12, no. 5, pp. 32-45, 2015.[Info and related materials] [bibtex] [pdf]
2014
[10]Sytnyk, Dmytro, "Modelling of quantum dots and low dimensional nanostructures as coupled systems", J. Coupled Syst. Multiscale Dyn., American Scientific Publishers, vol. 2, no. 4, pp. 188-213, 2014. [bibtex] [doi]
[9]Makarov, V. L., Sytnyk, D. O. and Vasylyk, V. B., "Existence of the solution to a nonlocal-in-time evolutional problem", Nonlinear Analysis: Modelling and Control, Vilnius University Press, vol. 19, no. 3, pp. 432-447, 2014.[Info and related materials] [bibtex] [doi]
[8]Sytnyk, D., "Effective utilization of previously calculated data in the scheme of iterative Sinc approximation" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 11, no. 4, pp. 266-279, 2014.[Info and related materials] [bibtex] [pdf]
[7]Makarov, V. L., Vasylyk, V. B. and Sytnyk, D. O., "Fast algorithm for modeling of atmospheric pollution dynamics with point source emissions" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 11, no. 4, pp. 176-197, 2014. [bibtex] [pdf]
2010
[6]Gavrilyuk, I. P., Makarov, V. L., Sytnyk, D. O. and Vasylyk, V. B., "Exponentially Convergent Method for the m-Point Nonlocal Problem for a First Order Differential Equation in Banach Space", Numerical Functional Analysis and Optimization, Taylor & Francis, vol. 31, no. 1, pp. 1–21, 2010.[Info and related materials] [bibtex] [doi]
2009
[5]Gavryluk, Ivan, Lazurchak, Igor, Makarov, Vladimir and Sytnyk, D, "An exponentially convergent method for nonlinear operator equations: two-sided approximations and global convergence", Computer Sciences and Telecommunications, no. 4, pp. 31–53, 2009.[Info and related materials] [bibtex] [pdf]
[4]Gavrilyuk, I. P., Lazurchak, I. I., Makarov, V. L. and Sytnyk, D. O., "A method with a controllable exponential convergence rate for nonlinear differential operator equations", Comput. Methods Appl. Math., vol. 9, no. 1, pp. 63–78, 2009.[Info and related materials] [bibtex] [doi]
[3]Gavrilyuk, I., Lazurchak, I., Makarov, V. and Sytnyk, D., "Functional-discrete method for nonlinear operator and differential equations", Reports of the National Academy of Sciences of Ukraine, no. 1, pp. 26–34, 2009. [bibtex]
2008
[2]Lazurchak, I. I., Makarov, V. L. and Sytnyk, D., "Two-sided approximations for nonlinear operator equations", Comput. Methods Appl. Math., vol. 8, no. 4, pp. 386–392, 2008.[Info and related materials] [bibtex] [doi]
2006
[1]Vasylyk, V. B. and Sytnyk, D. O., "Exponentially convergent method for approximating integrals with variable integration limit" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 3, no. 1, pp. 54-63, 2006. [bibtex]
Refereed Conference Papers
10 results
2022
[10]Dmytro Sytnyk and Barbara Wohlmuth, "Parallel numerical method for the abstract Cauchy problem with fractional derivative of Caputo type", Aachen, Germany, 2022. [bibtex]
2019
[9]Nesteruk, Igor, Piatti, Filippo, Sytnyk, Dmytro and Redaelli, Alberto, "Differentiation of the 4D MRI blood flow data to estimate the vorticity and shear stress in aorta, pulmonary artery and the heart", 2019 IEEE 39th International Conference on Electronics and Nanotechnology (ELNANO), pp. 415–420, 2019. [bibtex] [doi]
2018
[8]Sytnyk, Dmytro, "Universal massively parallel numerical solvers for time-dependant problems with application to simulation of nanoscale phenomena", 2018. [bibtex]
2015
[7]Sytnyk, D., "Parallel numerical method for time-dependent Schrodinger equation", Kyiv, Ukraine, 2015. [bibtex]
2013
[6]Sytnyk, D., Melnik, R. and Prabhakar, S., "Parallel numerical method for time-dependent Schrodinger equation with application to quantum heterostructures", Waterloo, Canada, pp. 592, 2013. [bibtex]
2011
[5]Sytnyk, D., "Improved Numerical Method for the Nonlocal Abstract Cauchy Problem with Time Dependent Operator Coefficient" (in Ukrainian), Drogobych, Ukraine, 2011. [bibtex]
2010
[4]Sytnyk, D. and Melnik, R., "Ellipticity conditions in multiband Hamiltonian problems for the analysis of low dimensional nanostructures", Lviv, pp. 43, 2010. [bibtex]
2009
[3]Sytnyk, D. and Melnik, R., "Inverse problems for multiband modeling and design of low dimensional nanostructures", Columbus, Ohio, USA, 2009. [bibtex]
[2]Sytnyk, D. and Melnik, R., "Multiband Hamiltonians of the Luttinger-Kohn theory and ellipticity requirements", Kiev, 2009. [bibtex] [pdf]
2006
[1]Dmytro Sytnyk and Vitalii Vasylyk, "Exponentially convergent algorithm for solving parabolic BVP with non local boundary conditions." (in Ukrainian), Kiev, 2006. [bibtex]
Other Publications
6 results
2024
[6]Horvat, Medeea, Lunowa, Stephan B., Sytnyk, Dmytro and Wohlmuth, Barbara, "A Lattice Boltzmann Method for Non-Newtonian Blood Flow in Coiled Intracranial Aneurysms", arXiv, 2024. [bibtex] [doi]
2018
[5]Sytnyk, Dmytro and Melnik, Roderick, "The Luttinger-Kohn theory for multiband Hamiltonians: A revision of ellipticity requirements", arXiv, 2018.[Info and related materials] [bibtex] [doi]
[4]Sytnyk, Dmytro and Melnik, Roderick, "Linear nonlocal problem for the abstract time-dependent non-homogeneous Schrödinger equation", arXiv, 2018. [bibtex] [doi]
2012
[3]Sytnyk, D. O., "Exponentially convergent methods for the nonlocal abstract Cauchy problem and nonlinear boundary value problems." (in Ukrainian), PhD thesis, Institute of Mathematics, National Academy of Sciences, Kyiv, 2012.[Info and related materials] [bibtex]
2010
[2]Sytnyk, Dmytro, "Mathematical modeling of quantum dots with generalized envelope functions approximations and coupled partial differential equations", Master's thesis, Wilfrid Laurier University (Canada), 2010. [bibtex] [pdf]
[1]Sytnyk, Dmytro, Patil, Sunil and Melnik, Roderick, "Multiband Hamiltonians of the Luttinger-Kohn Theory and Ellipticity Requirements", arXiv, 2010. [bibtex] [doi]

Last updated on 19:56, 06 December 2024