Rada Mutavdžić Đukić                                             

     Assistant professor, Department of Mathematics

       Contact Information

       E-mail:            rmutavdzic@mas.bg.ac.rs

       Adress:           Faculty of Mechanical Engineering

                              Kraljice Marije 16

                              11120 Belgrade

                              Serbia

Date of birth:  2.8.1989.

Nationality: Serbian

Present position: Assistant professor at Department of Matematics, Faculty of Mechanical Engineering, University of Belgrade.

Degrees:

(2011)  Bachelor of Mathematics, Faculty of Mathematics, University of Belgrade.

(2013)  Master of Mathematics, Faculty of Mathematics, University of Belgrade.

(2020)  PhD in Mathematics, Department of Mathematic and Informatics, University of Kragujevac.

Languages:  English

Work experience:

(2011 - 14)  Associate researcher at Department of Mathematics, Faculty of Technical Sciences in Čačak, University of Kragujevac.

(2014 - 21)  Teaching assistant at Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade.

(2021 -    )  Assistant professor at Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade.

Courses:

• Analysis

• Mathematics 1

• Mathematics 2

• Numerical methods

Publications:   

• [1] R. M. Mutavdžić Djukić, The error bounds of Gaussian quadratures for one rational modifcation of Chebyshev measures, Ima Journal Of Numerical Analysis, In Press, https://doi.org/10.1093/imanum/drae039 (M21).
• [2] D. Lj. Djukić, L. Fermo, R. M. Mutavdžić Djukić, Averaged Nyström interpolants for bivariate Fredholm integral equations on the real positive semi-axes , ETNA - Electronic Transactions on Numerical Analysis, 61, 51–65 (2024) (M22).
• [3] H. Alqahtani, C. F. Borges, D. Lj. Djukić, R. M. Mutavdžić Djukić, L. Reichel, M. M. Spalević, Computation of pairs of related Gauss-type quadrature rules, Applied Numerical Mathematics (2024), ISSN 0168-9274, https://doi.org/10.1016/j.apnum.2024.03.003 (M21).
• [4] H. Almutairi, D. Lj. Djukić, R. M. Mutavdžić Djukić, M. S. Pranić, L. Reichel, M. M. Spalević, Enhanced averaged quadrature rules with application to error estimation, Analysis, Approximation, Optimization: Computation and Applications, eds. M. Stanić, M. Albijanić, D. Djurcić, and M. M. Spalević, Springer (2024), in press (M33).
• [5] D. Lj. Djukić, N. M. Mutavdžić, R. M. Mutavdžić Djukić, Interpolation formulas for 1-harmonic functions on the unit circle, Filomat, 38(3), 1135-1142 (2024) (M22).
• [6] D. Lj. Djukić, R. M. Mutavdžić Djukić, L. Reichel, M. M. Spalević, Internality of Averaged Gauss Quadrature Rules for Certain Modification of Jacobi Measures , Applied and Computational Mathematics, 22(4), 426-442 (2023) (M21A).
• [7] D. Lj. Djukić, R. M. Mutavdžić Djukić, L. Reichel, M. M. Spalević, Decomposition of optimal averaged Gauss quadrature rules, Journal of Computational and Applied Mathematics, 115586 (2023), https://doi.org/10.1016/j.cam.2023.115586 (M21).
• [8] D. Lj. Djukić, R. M. Mutavdžić Djukić, L. Reichel, M. M. Spalević, Optimal averaged Pade-type approximants, ETNA, 59, 145-156 (2023) (M22).
• [9] D. Lj. Djukić, R. M. Mutavdžić Djukić, L. Reichel, M. M. Spalević, Weighted averaged Gaussian quadrature rules for modified Chebyshev measures, Applied Numerical Mathematics (2023), ISSN 0168-9274, https://doi.org/10.1016/j.apnum.2023.05.014. (M21)
• [10] D. Lj. Djukić, L. Fermo, R. M. Mutavdžić Djukić, Averaged cubature schemes on the real positive semi axis, Numerical Algorithms, 92, 545–569 (2023) (M21A).
• [11] D. Lj. Djukić, R. M. Mutavdžić Djukić, L. Reichel, M. M. Spalević, 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 (2023) (M21A).
• [12] R. M. Mutavdžić, Generalized averaged Gaussian formulas for certain weight functions, Kragujevac Journal of Mathematics, 46 (2), 295-305 (2022) (M24).
• [13] D. Lj. Djukić, R. M. Mutavdžić Djukić, L. Reichel, M. M. Spalević, 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, 113696 (2021) (M21).
• [14] D. Lj. Djukić, R. M. Mutavdžić Djukić, A. V. Pejčev, M. M. Spalević, Error estimates of Gaussian type quadrature formulae for analytic functions on ellipses - a survey of recent results, Electronic Transactions on Numerical Analysis 53, 52-382 (2020) (M21).
• [15] R. M. Mutavdžić, A. V. Pejčev, M. M. Spalević, The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szegо type, Appl. Anal. Discrete Math., 13 (3), 733-745 (2019) (M21).
• [16] R. M. Mutavdžić, A. V. Pejčev, M. M. Spalević, Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions, Electronic Transactions on Numerical Analysis 50, 20-35 (2018) (M21).

Textbooks (in Serbian):   

• [1] D. Đukic, A. Pejčev, J. Tomanović, R. Mutavdžić Đukic, A collection of problems for the admission to the Faculty of Mechanical Engineering in Belgrade, 2024.
• [2] M. Spalević, I. Aranđelović, A. Pejčev, D. Đukic, J. Tomanović, R. Mutavdžić Đukić, Multiple, line and surface integrals and applications, Faculty of Mechanical Engineering, Belgrade, 2023.
• [3] D. Đukic, I. Aranđelović, D. Jandrlić, A. Pejčev, R. Mutavdžić, J. Tomanović, M. Vucić, Mathematics 1, Faculty of Mechanical Engineering, Belgrade, 2020.
• [4] I. Aranđelović, D. Jandrlić, A. Pejčev, D. Đukic, R. Mutavdžić, J. Tomanović, Mathematics 2, Faculty of Mechanical Engineering, Belgrade, 2019.
• [5] D. Đukic, A. Pejčev, J. Tomanović, R. Mutavdžić, A collection of problems for the admission to the Faculty of Mechanical Engineering in Belgrade, 2015.

International conferences:   

• [1] R. M. Mutavdžić Djukić, D. Lj. Djukić, N. M. Mutavdžić, Interpolation formulas for α-harmonic functions on the unit circle, Numerical Analysis & Modelling in Applied Sciences (NAMAS-24), Gaeta, Italy, September 16-20, 2024.
• [2] R. M. Mutavdžić Djukić, D. Lj. Djukić, Interpolation on the unit circle for α-harmonic functions, Approximation Theory and Special Functions ATSF 2024 Conference - 8th Series, Ankara,Turkey, September 4-7, 2024.
• [3] R. M. Mutavdžić Djukić, D. Lj. Djukić, N. M. Mutavdžić, Interpolation formulas for 1-harmonic functions on the unit circle, ECM – 9-th European Congress of Mathematics Sevilla, Spain, July 15–19, 2024.
• [4] D. Lj. Đukić, R. M. Mutavdžić Đukić, L. Reichel, M. M. Spalević, Internality of averaged Gaussian quadrature rule, ICMRS2023, Online meeting, November 20-22, 2023.
• [5] D. Lj. Đukić, L. Fermo, R. M. Mutavdžić Đukić, Averaged Nyström interpolants for bivariate Fredholm integral equations over the first quadrant, ICOLES2023, Kemer, Turkey, November 2-5, 2023.
• [6] D. Lj. Đukić, R. M. Mutavdžić Đukić, L. Reichel, M. M. Spalević, On Internality of Generalized Averaged Gaussian Quadrature Rules and Their Truncations, AAA2023, Vrnjačka Banja, Serbia, June 21-24, 2023.
• [7] R. M. Mutavdžić Đukić, The error bounds of Gaussian quadratures for some rational modification of Chebyshev measures, ICMRS 2022, Antalya, Turkey, October 27-30.
• [8] D. Lj. Đukić, R. M. Mutavdžić Đukić, L. Reichel, M. M. Spalević, Weighted averaged Gaussian quadrature rules for modified Chebyshev measure, KMMNS2, Novi Sad, Serbia, September 29 - October 1, 2022.
• [9] D. Lj. Đukić, R. M. Mutavdžić Đukić, L. Reichel, M. M. Spalević, Weighted averaged Gaussian quadrature rules for modified Chebyshev measure, FAATNA20>22, Matera, Italy, July 4-9, 2022.
• [10] D. Lj. Đukić, R. M. Mutavdžić Đukić, L. Reichel, M.M. Spalević, Optimal averaged Padé approximant, NMLSP 2022, Belgrade, Serbia, June 6-8, 2022.
• [11] D. Lj. Đukić, R. M. Mutavdžić Đukić, L. Reichel, M. M. Spalević, Weighted averaged Gaussian rules for modified Chebyshev measure, MNA 2022, Budva, Montenego, June 1-3, 2022.
• [12] R. M. Mutavdžić, A. V. Pejčev, M. M. Spalević, The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szegо type, The Mediterranean International Conference of Pure&Applied Mathematics and Related Areas, Antalya, Turkey, October 26 – 29, 2018.
• [13] R. M. Mutavdžić, A. V. Pejčev, M. M. Spalević, Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions, Тhe 14th Serbian Mathematical Congress, Kragujevac, Serbia, May 16 – 19, 2018.
• [14] R. M. Mutavdžić, A. V. Pejčev, M. M. Spalević, Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions, Аpproximation and computation – theory and applications, Belgrade, Serbia, November 30 – December 2, 2017.

Postdoctoral fellowship:      September 2 - October 3, 2023, University of Cagliari, Italy.