Podstrona: Publikacje / Wizytówka pracownika PRz

1. PUBLIKACJE
 

1. M.V. Kutniv, B.Y. Datsko, A.V. Kunynets, A. Włoch, A new approach to constructing of explicit one-step methods of high order for singular initial value problems for nonlinear ordinary differential equations, Applied Numerical Mathematics 148, 2020, 140-151.
2. B. Datsko, M. Kutniv, A. Włoch, Mathematical modelling of pattern formation in activator-inhibitor reaction-diffusion systems with anomalous diffusion, Journal of Mathematical Chemistry 58(3), 2020, 612-631.
3. B.Y. Datsko, M.V. Kutniv, A.V. Kunynets, A. Włoch, New explicit hight-order one-step methods for singular initial value problems, Computational and Mathematical Methods, 2020, 1-17 (https://doi.org/10.1002/cmm4.109).
4. A. V. Kunynets, M. V. Kutnіv, N. V. Khomenko, Algoritmic realization of exact three-point difference scheme for Sturm-Liouville problem, Маthеmаtіcal Меthоds and Physicomеchanical Fields 63(1), 2020, 37–51.
5. G. Yu. Harmatiy, B.M. Kalynyak, M.V. Kutniv, Uncoupled quasi-static thermal elasticity problem for a two-layer thermosensitive cylinder under condi-tions of convective heat exchange, Маthеmаtіcal Меthоds and Physicomеchanical Fields 61(4), 2018, 66–77.

6. M. Król, M.V. Kutniv, O.I. Pazdriy, Difference schemes for systems of second order nonlinear ODEs on a semi-infinite interval, Applied Numerical Mathematics 119, 2017, 33–50.
7. V. Kutniv, M. Król, Realization of exact three-point difference schemes for nonlinear boundary value problems on the half-axis, Ukrainian Mathematical Journal 68(12), 2017, 1641-1656.
8. L. Makarov, M. М. Gural’ and M. V. Kutniv, Weight estimates of the accuracy of difference schemes for the sturm–liouville problem, Journal of Mathematical Sciences, 222 (1), 2017, 1-25.

9. P. Gavrilyuk, M.V. Kutniv, V.L. Makarov, Exact and truncated difference schemes for boundary-value problem. In: Exact Finite-Difference Schemes (S. Lemeshevsky, P. Matus, D. Poliakov, ed.), De Gruyter, Berlin/Boston, 2016, 165 - 203.
10. M. Król, A.V. Kunynets, M.V. Kutniv, Exact three-point difference scheme for singular nonlinear boundary value problems, Journal of Computational and Applied Mathematics 298, 2016, 175-189.

2. MONOGRAFIA

I. P. Gavrilyuk, M. Hermann, V. L. Makarov, and M. V. Kutniv, “Exact and Truncated Difference Schemes for Boundary Value ODEs”, Springer Basel AG, 2011 (International Series of Numerical Mathematics Vol. 159).


3. OPUBLIKOWANE SRZESZCZENIA REFERATÓW KONFERENCYJNYCH
 

1. Ivaschenko S.S., Kutniv M.V. Exact three-point difference scheme for second-order nonlinear ordinary differential equations with boundary conditions of third kind. International Conference of Young Mathematicians June 3–6, 2015 Institute of Mathematics of NAS of Ukraine, Kyiv

1. M. Kròl, A.V. Kunynets, M.V. Kutniv, One-step methods for singular initial value problems, Ukrainian Conference on Applied Mathematics 28-30 September, 2017 Ivan Franko National University of Lviv, Lviv, Ukraine, 66-67.

3. Król M., Kunynets A., Kutniv M. Algorithmic implemantation of exact three-point difference schemes for nonlinear boundary-value problems on the semiaxis. Modern problems of Mechanics and Mathematics: collection of scientific papers in 3 vol. / Edited by A.М. Samoilenko, R.M. Kushnir [Electronic resource] // Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine. – 2018. – Vol. 3, 23-25.
4. Y. Datsko, A.V. Kunynets, M.V. Kutniv, A. Włoch. New explicit high-order one-step methods for singular initial value problems. Computational & Mathematical Methods in Science and Engineering, 19th Internatioonal Conference, Cadiz, Spain, June 30-July 6, 2019.
5. B. Datsko, M. Kutniv, A. Włoch. Mathematical modelling of pattern formation in activator-inhibitor reaction-diffusion systems with anomalous diffusion. Computational & Mathematical Methods in Science and Engineering, 19th Internatioonal Conference, Cadiz, Spain, June 30-July 6, 2019.
6. Kunynets, M. Kutniv, N. Khomenko. Implementation of exact three-point difference scheme for Sturm-Liouville problem. XI International Skorobohatko Mathematical Conference, October 26 - 30, 2020, Lviv, Ukraine, 55 
7. A. Kunynets, M. Kutniv, N. Khomenko. Implementation of exact three-point difference scheme for sturm-liouville problem. XI International Skorobohatko Mathematical Conference, October 26 - 30, 2020, Lviv, Ukraine, P.55.

4. PODRĘCZNIKI AKADEMICKIE

1. M.V. Kutniv „Metody numeryczne”, 2010 ( w języku ukraińskim)