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. |
Refereed Articles
17 results
| 2018 | |
| [17] | Dmytro Sytnyk, "Parallel approximation for abstract time-dependent Schrödinger equation" (to appear), Mathematics of Computation, 2018. |
| 2017 | |
| [16] | 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. |
| [15] | Sytnyk, Dmytro, "Sinc approximation of algebraically decaying functions", Journal of Numerical and Applied Mathematics, no. 3 (126), pp. 124-133, 2017. |
| 2016 | |
| [14] | Sytnyk, D., "Nonuniform Sinc approximation" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 13, no. 3, pp. 169-182, 2016. |
| [13] | 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. |
| [12] | 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. |
| 2015 | |
| [11] | 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. |
| [10] | Makarov, V. L., Vasylyk, V. B. and Sytnyk, D. O., "Exponentially convergent method for first order differential equation in banach space with unbounded operator in the nonlocal condition" (in Ukrainian), Collected works of Institute of mathematics NAS of Ukraine, vol. 12, no. 5, pp. 32-45, 2015. |
| 2014 | |
| [9] | 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. |
| [8] | 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] |
| [7] | 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. |
| [6] | 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. |
| 2010 | |
| [5] | Sytnyk, D. and Patil, S., "Multiband Hamiltonians of the Luttinger-Kohn Theory and Ellipticity Requirements", ArXiv e-prints, 2010.[Info and related materials] |
| [4] | 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. |
| 2009 | |
| [3] | Gavrilyuk, I., Lazurchak, I., Makarov, V. 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. |
| [2] | 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. |
| 2008 | |
| [1] | 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. |
Refereed Conference Papers
7 results
| 2015 | |
| [7] | Sytnyk, D., "Parallel numerical method for time-dependent Schrodinger equation", Kyiv, Ukraine, 2015. |
| 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. |
| 2011 | |
| [5] | Sytnyk, D., "Improved Numerical Method for the Nonlocal Abstract Cauchy Problem with Time Dependent Operator Coefficient" (in Ukrainian), Drogobych, Ukraine, 2011. |
| 2010 | |
| [4] | Sytnyk, D. and Melnik, R., "Ellipticity conditions in multiband Hamiltonian problems for the analysis of low dimensional nanostructures", Lviv, pp. 43, 2010. |
| 2009 | |
| [3] | Sytnyk, D. and Melnik, R., "Inverse problems for multiband modeling and design of low dimensional nanostructures", Columbus, Ohio, USA, 2009. |
| [2] | Sytnyk, D. and Melnik, R., "Multiband Hamiltonians of the Luttinger-Kohn theory and ellipticity requirements", Kiev, 2009. |
| 2006 | |
| [1] | Dmytro Sytnyk and Vitalii Vasylyk, "Exponentially convergent algorithm for solving parabolic BVP with non local boundary conditions." (in ukrainian), Kiev, 2006. |
Other Publications
3 results
| 2018 | |
| [3] | Sytnyk, D. and Melnik, R., "Linear nonlocal problem for the abstract time-dependent non-homogeneous Schrödinger equation", 2018. |
| 2012 | |
| [2] | 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] |
| 2010 | |
| [1] | 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. |