Aleksandar V. Pejcev                                             

     Associate professor, Department of Mathematics

       Contact Information:

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

       Adress:           Faculty of Mechanical Engineering

                              Kraljice Marije 16

                              11120 Belgrade

                              Serbia

 

Date of birth:             April 8th 1985

Nationality:                Serbian

Present position:      Associate professor, University of Belgrade - Faculty of Mechanical Engineering.

Degrees:

2000-2004                Mathematical High School.

2004-2007                Graduate Mathematics (B.Sc.): Faculty of Mathematics, University of Belgrade.

2010-2011                Master of Mathematics: Faculty of Mathematics, University of Belgrade.

2009-2013                PhD in Mathematics: Faculty of Science, University of Kragujevac.

 

Research

interests:        Applied mathematics, Numerical analysis, Approximation theory, Scientific computing

Languages:    English

Work experience:

2009 - 2013           Teaching assistant at Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade.

2008 - 2012           Teaching assistant at Department of Diferential Equations, Faculty of Mathematics, University of Belgrade.

2013 - 2018           Assistant professor (Dozent), Faculty of Mechanical Engineering, University of Belgrade.

2018 - today           Associate professor, Faculty of Mechanical Engineering, University of Belgrade.

2007 - today           Mathematical High School (Probability and statistics, Descrete Mathematics, Algebra, Geometry - regular classes).

2004 - today           Mathematical High School (preparing highschool students for national and international competitions).

Aleksandar V. Pejcev

Courses:

Publications:   

Selected papers in refereed journals (MS has published more than 20 papers on SCI list):
  1. M.M. Spalevic, M.S. Pranic, A.V. Pejcev, Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions, Appl. Math. Comput. 218 (2012) 5746--5756.
  2. A.V. Pejcev, M.M. Spalevic, Error bounds for Gaussian quadrature formulae with Bernstein-Szego weights that are rational modifications of Chebyshev weight functions of the second kind}, IMA J. Numer. Anal. 32 (2012), 1733--1754.
  3. A.V. Pejcev, M.M. Spalevic, On the remainder term of Gauss-Radau quadrature with Chebyshev weight of the third kind for analytic functions, Appl. Math. Comput. 219 (2012), 2760--2765 .
  4. G. V. Milovanovic, A.V. Pejcev, M.M. Spalevic, A note on an error bound of Gauss-Turan quadrature with the Chebyshev weight, FILOMAT 27 (2013) 1037–1042.
  5. A.V. Pejcev and M.M. Spalevic, Error bounds of Micchelli-Rivlin quadrature formula for analytic functions, J. Approx. Theory 169 (2013) 23-34.
  6. A.V. Pejcev, M.M. Spalevic, Error bounds of Micchelli-Sharma quadrature formula for analytic functions, JCAM J. Comput. Appl. Math. 259 (2014) 48–56 .
  7. A. V. Pejcev, Error bounds for Gauss-type quadratures with Bernstein-Szego weights, Numerical Algorithms, (2014), vol. 66 br. 3, 569-590
  8. Lj.V.Mihic, A.V. Pejcev, M.M. Spalevic, Error bounds for Gauss-Lobatto quadrature formula with multiple end points with Chebyshev weight function of the third and the fourth kind, FILOMAT, (2016), vol. 30 br. 1, 231-239
  9. A.V. Pejcev, M.M. Spalevic, The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegö weight functions, Numer. Math. 133 (2016) 177-201.
  10. A. V. Pejcev, Error Estimates of Gaussian Quadrature Formulae with the Third Class of Bernstein-Szego Weights, APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, (2017), vol. 11 br. 2, 451-469
  11. D.Lj. Djukic, A.V. Pejcev, M.M. Spalevic, “The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szego type ”, Numerical Algorithms, (2018), vol. 77 br. 4, 1003-1028
  12. R. M. Mutavdzic, A.V. Pejcev, M.M. Spalevic , Error Bounds for Kronrod Extension of Generalizations of Micchelli-Rivlin Quadrature Formula for Analytic Functions, ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, (2018), vol. 50 br. , 20-35
  13. A.A. Petrovic, J. M. Svorcan, A.V. Pejcev, D.R. Radenkovic, A.Lj. Petrovic, Comparison of novel variable area convergent-divergent nozzle performances obtained by analytic, computational and experimental methods, APPLIED MATHEMATICAL MODELLING, (2018), vol. 57 br. , str. 206-225
  14. A. V. Pejcev, Lj.V.Mihic, Errors of Gauss-Radau and Gauss-Lobatto Quadratures with Double End Point, APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, (2019), vol. 13 br. 2, 463-477
  15. R. M. Mutavdzic, A.V. Pejcev, M.M. Spalevic , The Error Bounds of Gauss-Lobatto Quadratures for Weights of Bernstein-Szego Type, APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, (2019), vol. 13 br. 3, 733-745
  16. A.V. Pejcev, M.M. Spalevic , Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions, SCIENCE CHINA-MATHEMATICS, (2019), vol. 62 br. 9, 1657-1668
  17. D.Lj. Djukic, R.M. Mutavdzic Djukic, A.V. Pejcev, M.M. Spalevic, Error estimates of Gaussian type quadrature formulae for analytic functions on ellipses - a survey of recent results, Electron. Trans. Numer. Anal. 53 (2020) 352-382.
  18. R. Orive, A.V. Pejcev, M.M. Spalevic, The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type, APPLIED MATHEMATICS AND COMPUTATION, (2020), vol. 369
  19. B.D. Sekutkovski, A.M. Grbovic, I.S. Todic, A.V. Pejcev, A partitioned solution approach for the fluid-structure interaction of thin-walled structures and high-Reynolds number flows using RANS and hybrid RANS-LES turbulence models, AEROSPACE SCIENCE AND TECHNOLOGY, (2021), vol. 113
  20. R. Orive, A.V. Pejcev, M.M. Spalevic, Lj.V. Mihic, On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type, NUMERICAL ALGORITHMS, (2022), https://doi.org/10.1007/s11075-022-01325-8
  21. D. R. Jandrlic, D. M. Krtinic, Lj. V. Mihic, A. V. Pejcev, M. M. Spalevic, Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands, Electron. Trans. Numer. Anal., vol.55, 424-437;

Books, Chapters:

  1. The collection of problems for preparation of the qualification exam for entering The Faculty of Mechanical Engineering in Belgrade (2015) - Dusan Lj. Djukic, Aleksandar V. Pejcev, Jelena D. Tomanovic., Rada M. Mutavdzic
  2. MULTIPLE, LINEAR AND SURFICE INTEGRALS AND THEIR APPLICATION, THEORY OF SERIES (2016) - Miodrag M. Spalevic, Aleksandar S. Cvetkovic, Ivan D. Arandjelovic, ?leksandar V. Pejcev, Jelena D. Tomanovic, Dusan Lj. Djukic
  3. M.M. Spalevic, I.D. Arandjelovic, D. Doder, A.V. Pejcev, D.Lj. Djukic, J.D. Tomanovic, Differential equations (2017) FME. [In Serbian]
  4. MATHEMATICS 2 (2019)- Dusan Lj. Djukic, Davorka R. Jandrlic,?leksandar V. Pejcev, Jelena D. Tomanovic., Rada M. Mutavdzic, Ivan D. AranDjelovic
  5. MATHEMATICS 1 (2020) - Dusan Lj. Djukic, Aleksandar V. Pejcev, Jelena D. Tomanovic., Rada M. Mutavdzic, Ivan D. Arandjelovic

Projects:

  1. Participant of the Serbian scientific project \# 144005 ''Approximation of linear operators'' (2006 - 2010);
  2. Participant of the Serbian scientific project \# 174002 ''Methods of numerical and nonlinear analysis with applications'' (2011 - 2019), and the researcher of A1, the top range in the Serbian scientific projects for basic researches in the period 2002 - 2018;