др Миодраг М. Спалевић, редовни професор
Катедра за математику
Кабинет: 440
Мејл адреса: mspalevic@mas.bg.ac.rs
Телефон: локал 334; директан 3302-334
https://mat.mas.bg.ac.rs/mspalevic/
Понедељак 12.30; Уторак 12:45 (кабинет 440).
Математика 1
Математика 2
Нумеричке методе
Нумеричке методе
Нумеричка анализа, Теорија апроксимација, Научна израчунавања
Природно-математички факултет у Крагујевцу, дипл. мат. 1986. Филозофски факултет у Нишу, мр, 1994. Природно-математички факултет у Крагујевцу, др, 1997.
Преко 80 радова на домаћим и међународним скуповима/часописима, 4 уџбеникa, збирка задатака. URL: https://mat.mas.bg.ac.rs/mspalevic/
ДМС (Друштво математичара Србије)
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, M21.
Reichel Lothar, Spalević Miodrag (2022). Averaged Gauss quadrature formulas: Properties and applications, Journal of Computational and Applied Mathematics, 410.
Elsevier, Amsterdam, ISSN: 0377-0427, 10.1016/j.cam.2022.114232, M21.
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.
Pejčev Aleksandar, Spalević Miodrag (2019). Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions, Science China-Mathematics, 62(9), 1657-1668.
Science Press, Beijing, ISSN: 1674-7283, 10.1007/s11425-016-9259-5, 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.
Mutavdžić Đukić Rada, Pejčev Aleksandar, Spalević Miodrag (2019). The error bounds of gauss-lobatto quadratures for weights ofbernstein-szego type, Applicable Analysis and Discrete Mathematics, 13(3), 733-745.
Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd, ISSN: 1452-8630, 10.2298/AADM190315030M, M21.
Spalević Miodrag (2017). On generalized averaged gaussian formulas. Ii, Mathematics of Computation, 86(306), 1877-1885.
Amer Mathematical Soc, Providence, ISSN: 0025-5718, 10.1090/mcom/3225, M21.
Reichel Lothar, Spalević Miodrag, Tang Tunan (2016). Generalized averaged Gauss quadrature rules for the approximation of matrix functionals, Bit Numerical Mathematics, 56(3), 1045-1067.
Springer, Dordrecht, ISSN: 0006-3835, 10.1007/s10543-015-0592-7, M21.
Pejčev Aleksandar, Spalević Miodrag (2014). Error bounds of the Micchelli-Sharma quadrature formula for analytic functions, Journal of Computational and Applied Mathematics, 259, 48-56.
Elsevier Science Bv, Amsterdam, ISSN: 0377-0427, 10.1016/j.cam.2013.03.039, M21.
Milovanović Gradimir V., Spalević Miodrag (2014). Kronrod extensions with multiple nodes of quadrature formulas for fourier coefficients, Mathematics of Computation, 83(287), 1207-1231.
ISSN: 0025-5718, 10.1090/S0025-5718-2013-02761-5, M21.
Milovanović Gradimir V., Pejčev Aleksandar, Spalević Miodrag (2013). A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight, Filomat, 27(6), 1037-1042.
Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, ISSN: 0354-5180, 10.2298/FIL1306037M, M21.
Pejčev Aleksandar, Spalević Miodrag (2013). Error bounds of Micchelli-Rivlin quadrature formula for analytic functions, Journal of Approximation Theory, 169, 23-34.
Academic Press Inc Elsevier Science, San Diego, ISSN: 0021-9045, 10.1016/j.jat.2013.02.002, M21.
Spalević Miodrag (2013). Error bounds of gaussian quadrature formulae for one class of bernstein-szego weights, Mathematics of Computation, 82(282), 1037-1056.
ISSN: 0025-5718, 10.1090/S0025-5718-2012-02667-6, M21.
Spalević Miodrag, Pranić Miroslav S., Pejčev Aleksandar (2012). Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions, Applied Mathematics and Computation, 218(9), 5746-5756.
Elsevier Science Inc, New York, ISSN: 0096-3003, 10.1016/j.amc.2011.11.072, M21.
Pejčev Aleksandar, Spalević Miodrag (2012). Error bounds for Gaussian quadrature formulae with Bernstein-Szego weights that are rational modifications of Chebyshev weight functions of the second kind, Ima Journal of Numerical Analysis, 32(4), 1733-1754.
Oxford Univ Press, Oxford, ISSN: 0272-4979, 10.1093/imanum/drr044, M21.
Pejčev Aleksandar, Spalević Miodrag (2012). On the remainder term of Gauss-Radau quadrature with Chebyshev weight of the third kind for analytic functions, Applied Mathematics and Computation, 219(5), 2760-2765.
Elsevier Science Inc, New York, ISSN: 0096-3003, 10.1016/j.amc.2012.09.002, M21.
Milovanović Gradimir V., Spalević Miodrag, Pranić Miroslav S. (2009). Error estimates for Gaussian quadratures of analytic functions, Journal of Computational and Applied Mathematics, 233(3), 802-807.
Elsevier Science Bv, Amsterdam, ISSN: 0377-0427, 10.1016/j.cam.2009.02.048, M21.
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.
Milovanović Gradimir V., Orive Ramon, Spalević Miodrag (2019). Quadratures with multiple nodes for Fourier-Chebyshev coefficients, Ima Journal of Numerical Analysis, 39(1), 271-296.
Oxford Univ Press, Oxford, ISSN: 0272-4979, 10.1093/imanum/drx067, M21a.
Spalević Miodrag (2014). Error bounds and estimates for gauss-turan quadrature formulae of analytic functions, Siam Journal on Numerical Analysis, 52(1), 443-467.
Siam Publications, Philadelphia, ISSN: 0036-1429, 10.1137/13091097X, M21a.
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.
Jandrlić Davorka, Pejčev Aleksandar, Spalević Miodrag (2022). The Error Estimates of Kronrod Extension for Gauss-Radau and Gauss-Lobatto Quadrature with the Four Chebyshev Weights, Filomat, 36(3), 961-977.
Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš, ISSN: 0354-5180, 10.2298/FIL2203961J, M22.
Orive Ramon, Santos-Leon Juan C., Spalević Miodrag (2020). Cubature formulae for the gaussian weight. Some old and new rules., Electronic Transactions on Numerical Analysis, 53, 426-438.
Kent State University, Kent, ISSN: 1068-9613, 10.1553/etna_vol53s426, M22.
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, M22.
Milovanović Gradimir, Spalević Miodrag (2007). A note on the bounds of the error of Gauss-Turan-type quadratures, Journal of Computational and Applied Mathematics, 200(1), 276-282.
Elsevier, ISSN: 0377-0427, M22.
Milovanović Gradimir, Spalević Miodrag (2006). Gauss-Turan quadratures of Kronrod type for generalized Chebyshev weight functions, Calcolo, 43(3), 171-195.
Springer, ISSN: 0008-0624, 10.1007/s10092-006-0121-9, M22.
Milovanović Gradimir, Spalević Miodrag (2006). Quadrature rules with multiple nodes for evaluating integrals with strong singularities, Journal of Computational and Applied Mathematics, 189(1-2), 689-702.
Elsevier, ISSN: 0377-0427, M22.
Milovanović Gradimir, Spalević Miodrag (2005). An error expansion for some Gauss-Turan quadratures and L-1-estimates of the remainder term, BIT NUMERICAL MATHEMATICS, 45, 117-136.
Springer, ISSN: 0006-3835, doi.org/10.1007/s10543-005-2643-y, M22.
Jandrlić Davorka, KRTINić D. M., Mihić Ljubica, Pejčev Aleksandar, Spalević Miodrag (2022). Error bounds for gaussian quadrature formulae with legendre weight function for analytic integrands, Electronic Transactions on Numerical Analysis, 55, 424-437.
Kent State University, Kent, ISSN: 1068-9613, 10.1553/etna_vol55s424, M23.
Jandrlić Davorka, Spalević Miodrag, Tomanović Jelena (2018). Error Estimates for Some Product Gauss Rules, Proceedings Book of MICOPAM2018 conference.
Department of Mathematics, Faculty of Science, Akdeniz University,Turkey, M33.
Jandrlić Davorka, Pejčev Aleksandar, Spalević Miodrag (2023). Error estimates for Gaussian quadrature formulae, International Mathematical Conference Analysis, Approximations and Applications (AAA2023), Vrnjačka Banja.
Prirodno-matematički fakultet Kragujevac, M34.
Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2023). Internality of Averaged Gaussian Quadrature Rules, 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS.
ISBN: 978-605-70978-8-0, M34.
Jandrlić Davorka, Pejčev Aleksandar, Spalević Miodrag (2022). Error Estimates for Certain Quadrature Formulae, FAATNA 2020>22 conference, Book of abstracts.
M34.
Notaris Sotiris, Spalević Miodrag, Stanić Marija (2022). S9. Orthogonal Polynomials, Interpolation and Numerical Integration, FAATNA 2020>22, Book of abstracts.
M34.
Đukić Dušan, Mutavdžić Đukić Rada, Reichel Lothar, Spalević Miodrag (2022). Internality of averaged Gaussian quadrature rules for modified Jacobi measures, FAATNA 2020>22 conference, Book of abstracts.
M34.
Jandrlić Davorka, Mihić Ljubica, Pejčev Aleksandar, Spalević Miodrag (2022). Error term in Gauss quadrature with Legendre weight function for analytic functions, NMLSP conference, Book of abstracts.
Faculty of Mechanical Engineering, University of Belgrade, M34.
Jandrlić Davorka, Krtinić Đorđe, Mihić Ljubica, Pejčev Aleksandar, Spalević Miodrag (2022). Numerical evaluation of the error term in Gaussian quadrature with the Legendre weight function, MNA conference, Book of abstracts.
Faculty of Mechanical Engineering, University of Belgrade, M34.
Đukić Dušan, Reichel Lothar, Spalević Miodrag (2017). Internality of truncated generalized averaged Gaussian quadrature, ACTA 2017, Book of abstarcts.
Serbian Academy of Sciences and Arts, M34.
Mihić Ljubica, Pejčev Aleksandar, Spalević Miodrag (2017). Error estimations of Turan formulas with Gori-Michelli and generalized Chebyshev weight functions, ACTA 2017, Book of abstarcts.
Serbian Academy of Sciences and Arts, M34.
Đukić Dušan, Pejčev Aleksandar, Spalević Miodrag (2016). The error bounds of Gauss-Kronrod quadrature formulae with Bernstein-Szego weight functions, 6th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS.
UNIVERSITY OF EAST SARAJEVO, MATHEMATICAL SOCIETY OF THE REPUBLIC OF SRPSKA, ISBN: 978-99938-47-79-3, M34.
Spalević Miodrag (2023). Numerical Computation of Generalized Averaged Gaussian and Anti-Gauss Quadrature Rules, 6th International Conference on Mathematics and Related Sciences (ICMRS 2023), online meeting, Turkey.
Pranić Miroslav, Reichel Lothar, Spalević Miodrag (2019). MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications.
Spalević Miodrag (2018). On generalized averaged Gaussian formulas, Тhe 14th Serbian Mathematical Congress (14th SMAK).
Spalević Miodrag (2015). ESTIMATING THE ERROR OF GAUSSIAN QUADRATURES BY USING THEIR EXTENSIONS, 5th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 05-06 June 2015.
University of East Sarajevo, Mathematical Society of the Republic of Srpska, ISBN: 978-99976-600-5-3.
Spalević Miodrag (2014). ERROR ESTIMATES OF GAUSS-TURAN QUADRATURES, 4th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, Trebinje, 06-07 June 2014.
University of East Sarajevo Mathematical Society of the Republic of Srpska.
Spalević Miodrag (2013). ERROR BOUNDS OF GAUSSIAN QUADRATURE FORMULAE FOR ONE CLASS OF BERNSTEIN-SZEG O WEIGHTS, TRECA MATEMATIČKA KONFERENCIJA REPUBLIKE SRPSKE , Trebinje, 7. i 8. juni 2013. godine, KNJIGA REZIMEA.
Univerzitet u Istocnom Sarajevu, Fakultet za proizvodnju i menadzment Trebinje.
Milovanović Gradimir, Spalević Miodrag (2004). Quadrature rules with multiple nodes for calculating integrals with strong singularities, Book of Abstracts, Katholieke Universiteit Leuven Belgium.
Katholieke Universiteit Leuven Belgium.
Milovanović Gradimir, Spalević Miodrag (2002). Quadratures of Gauss-Stancu type: Construction and error analysis, Proceedings of the International Symposium on Numerical Analysis and Approximation Theory (Cluj-Napoca, 2002) (R.T. Trimbitas, ed.).
Cluj University Press.
Milovanović Gradimir, Spalević Miodrag (2002). An error expansion for Gauss-Turan quadrature with Chebyshev weight function, Book of Abstracts, Katholieke Universiteit Leuven Belgium.
Katholieke Universiteit Leuven Belgium.
Milovanović Gradimir, Spalević Miodrag (2000). Quadrature formulae connected to sigma-orthogonal polynomials, Book of Abstracts, Katholieke Universiteit Leuven Belgium.
Katholieke Universiteit Leuven Belgium.
Spalević Miodrag (1998). A method for approximate calculation of multiple integrals over n/sphere, PRIM'98, Abstracts of XIII conference on Applied Mathematics.
University of Novi Sad, Faculty of Science, Institute of Mathematics.
Spalević Miodrag (1997). A generalization of product formulas, PRIM'97, Abstracts of XII conference on Applied Mathematics.
University of Novi Sad, Faculty of Science, Institute of Mathematics.
Spalević Miodrag (1995). Parametri generalisane kvadrature Markov-a, Sažeci, X seminar primenjene matematike PRIM'95.
Institut za matematiku, Prirodno-matematički fakultet Univerzitet u Novom Sadu.
Mihić Ljubica, Orive Ramon, Pejčev Aleksandar, Spalević Miodrag (2022). On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type, MNA conference, Book of abstracts.
Faculty of Mechanical Engineering, University of Belgrade.
Spalević Miodrag, Cvetković Aleksandar, Aranđelović Ivan, Pejčev Aleksandar, Đukić Dušan, Tomanović Jelena (2015). Višestruki, krivolinijski i površinski integrali i primene, terorija redova, Univerzitet u Beogradu - Mašinski fakultet.
Univerzitet u Beogradu - Mašinski fakultet.
Универзитет у Београду, Машински факултет
Краљице Марије 16, 11120 Београд 35
тел. (+381 11) 3302-200, факс 3370364
mf@mas.bg.ac.rs