Универзитет у Београду

Душан Љ. Ђукић

др Душан Љ. Ђукић, ванредни професор
Катедра за математику
Кабинет: 440
Мејл адреса: ddjukic@mas.bg.ac.rs
Телефон: локал 340; директан 3302-340

Термини за пријем студената

По договору или мејлом

Предмети

Анализа
Дискретна математика
Математика 1
Математика 2
Математика 3

Истраживачка област

нумеричка анализа

Образовање, стручна спрема

Основне студије: Математички факултет, Универзитет у Београду, 2003. Магистарске студије: Филозофски факултет Пале, Унив. И. Сарајево, 2016. Докторске студије: ПМФ, Универзитет у Крагујевцу, 2018.

Публикације, признања, награде

Коаутор 4 уџбеника у издању Машинског факултета Универзитета у Београду; Коаутор неколико књига на тему математичких олимпијада, укључујући "The IMO Compendium" у издању Springer-а (2006,2011)

Чланства у научним и стручним организацијама

Друштво математичара, комисија за математичка такмичења средњих школа (2003-2022)

Библиографија

Радови у часописима са SCI и SCIe листа

Đukić Dušan, Mutavdžić Đukić Rada, Pejčev Aleksandar, Reichel Lothar, Spalević Miodrag, Spalević Stefan (2025). Internality of Two-Measure-Based Generalized Gauss Quadrature Rules for Modified Chebyshev Measures II, Mathematics, 13(3).
MDPI, ISSN: 2227-7390, 10.3390/math13030513, M21a+.

Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2023). Internality of averaged Gauss quadrature rules for certain modification of Jacobi measures, Applied and Computational Mathematics, 22(4), 426-442.
Ministry of Communications and Information Technology (Azerbaijan), Azerbaijan National Academy of Sciences and Institute of Applied Mathematics of Baku State University, ISSN: 1683-3511, 10.30546/1683-6154.22.4.2023.426, M21a+.

Đukić Dušan, Kadelburg Zoran, Radenović Stojan (2011). Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces, Abstract and Applied Analysis.
Hindawi Ltd, London, ISSN: 1085-3375, 10.1155/2011/561245, M21a+.

Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2024). Decompositions of optimal averaged Gauss quadrature rules, Journal of Computational and Applied Mathematics, 438(Art. 115586).
Elsevier, ISSN: 0377-0427, 10.1016/j.cam.2023.115586, M21a.

Alqahtani H, Borges CF, Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2024). Computation of pairs of related Gauss-type quadrature rules, Applied Numerical Mathematics.
Elsevier, ISSN: 0168-9274, 10.1016/j.apnum.2024.03.003, M21a.

Đukić Dušan, Fermo Luisa, Mutavdžić Đukić Rada (2023). Averaged cubature schemes on the real positive semiaxis, Numerical Algorithms, 92, 545–569.
Springer, ISSN: 1572-9265e, 10.1007/s11075-022-01408-6, M21a.

Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2023). Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds, Numerical Algorithms, 92, 523-544.
Springer, ISSN: 1017-1398, 10.1007/s11075-022-01385-w, M21a.

Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2023). Weighted averaged Gaussian quadrature rules for modified Chebyshev measures, Applied Numerical Mathematics.
Elsevier, ISSN: 0168-9274, 10.1016/j.apnum.2023.05.014, M21a.

Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2021). Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind, Journal of Computational and Applied Mathematics, 398.
Elsevier, Amsterdam, ISSN: 0377-0427, 10.1016/j.cam.2021.113696, M21a.

Đukić Dušan, Pejčev Aleksandar, Spalević Miodrag (2018). The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-SzegoIi type, Numerical Algorithms, 77(4), 1003-1028.
Springer, Dordrecht, ISSN: 1017-1398, 10.1007/s11075-017-0351-8, M21a.

Đukić Dušan, Mutavdžić Đukić Rada, Pejčev Aleksandar, Spalević Miodrag (2020). Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results, Electronic Transactions on Numerical Analysis, 53, 352-382.
Kent State University, Kent, ISSN: 1068-9613, 10.1553/etna_vol53s352, M21.

Đukić Dušan, Reichel Lothar, Spalević Miodrag (2019). Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials, Applied Numerical Mathematics, 142, 190-205.
Elsevier Science Bv, Amsterdam, ISSN: 0168-9274, 10.1016/j.apnum.2019.03.008, M21.

Đukić Dušan, Reichel Lothar, Spalević Miodrag, Tomanović Jelena (2019). Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind, Journal of Computational and Applied Mathematics, 345, 70-85.
Elsevier Science Bv, Amsterdam, ISSN: 0377-0427, 10.1016/j.cam.2018.06.017, M21.

Đukić Dušan, Reichel Lothar, Spalević Miodrag, Tomanović Jelena (2016). Internality of generalized averaged gauss rules and their truncations for bernstein-szego weights, Electronic Transactions on Numerical Analysis, 45, 405-419.
Kent State University, ISSN: 1068-9613, M21.

Đukić Dušan, Reichel Lothar, Spalević Miodrag (2016). Truncated generalized averaged Gauss quadrature rules, Journal of Computational and Applied Mathematics, 308, 408-418.
Elsevier Science Bv, Amsterdam, ISSN: 0377-0427, 10.1016/j.cam.2016.06.016, M21.

Đukić Dušan, Mutavdžić Đukić Rada, Pejčev Aleksandar, Reichel Lothar, Spalević Miodrag, Spalević Stefan (2024). Internality of two-measure-based generalized Gauss quadrature rules for modified Chebyshev measures, Electronic Transactions on Numerical Analysis (ETNA), 61, 157-172.
ISSN: 1068-9613, 10.1553/etna_vol61s157, M22.

Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2023). Optimal Averaged Pade-Type Approximants, ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 59, 145-156.
the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM), ISSN: 1068-9613, 10.1553/etna_vol59s145, M22.