Miodrag M. Spalević                                             

     Full professor, Department of Mathematics

       Contact Information:

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

       Adress:           Faculty of Mechanical Engineering

                              Kraljice Marije 16

                              11120 Belgrade

                              Serbia

 

Curriculum Vitae - Engish

Date of birth:             June 6th 1961

Nationality:                Serbian

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

Degrees:

1986                Graduate Mathematics (B.Sc.): Faculty of Science, University of Kragujevac.

1994                Magister of Mathematics: Faculty of Philosophy, University of Niš.

1997                PhD in Mathematics: Faculty of Science, University of Kragujevac.

 

Research

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

Languages:    English

Work experience:

1986 - 1997           Research and teaching assistant at Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac.

1998 - 2003           Assistant professor (Dozent), Faculty of Science, University of Kragujevac.

2003 - 2008           Associate professor, Faculty of Science, University of Kragujevac.

2008 -                    Full professor, Faculty of Mechanical Engineering, University of Belgrade.

Courses:

Publications:   

Selected papers in refereed journals (MS has published more than 80 papers; more than 60 on SCI list):
  1. M.M. Spalević, Bessel's inequality in terms of a basis of Vk, Acta Sci. Math. (Szeged) 65 (1999) 169-177.
  2. G.V. Milovanović and M.M. Spalević, Error bounds for Gauss-Turán quadrature formulas of analytic functions, Math. Comp. 72 (2003) 1855-1872.
  3. G.V. Milovanović, M.M. Spalević and A.S. Cvetković, Calculation of Gaussian quadratures with multiple nodes, Math. Comput. Modelling 39 (2004) 325-347.
  4. G.V. Milovanović and M.M. Spalević, An error expansion for some Gauss-Turán quadratures and L1-estimates of the remainder term, BIT Numerical Mathematics (2005) 45: 117-136.
  5. G.V. Milovanović and M.M. Spalević, Bounds of the error of Gauss-Turán-type quadratures, J. Comput. Appl. Math. 178 (2005) 333-346.
  6. M.M. Spalević, On generalized averaged Gaussian formulas, Math. Comp. 76 (2007) 1483-1492.
  7. G.V. Milovanović, M.M. Spalević, and M.S. Pranić, Maximum of the modulus of kernels in Gauss-Turán quadratures, Math. Comp. 77 (2008) 985-994.
  8. A.V. Pejčev and M.M. Spalević, Error bounds of Micchelli-Rivlin quadrature formula for analytic functions, J. Approx. Theory 169 (2013) 23-34.
  9. G.V. Milovanović and M.M. Spalević, Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients, Math. Comp. 83 (2014) 1207-1231.
  10. M.M. Spalević, Error bounds and estimates for Gauss-Turán quadrature formulae of analytic functions, SIAM J. Numer. Anal. 52 (2014) 443-467.
  11. A.V. Pejčev, M.M. Spalević, The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegö weight functions, Numer. Math. 133 (2016) 177-201.
  12. D.Lj. Djukić, L. Reichel, M.M. Spalević, Truncated generalized averaged Gauss quadrature rules, J. Comput. Appl. Math. 308 (2016) 408-418.
  13. B. de la Calle Ysern, M.M. Spalević, Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules, Numer. Math. 138 (2018) 1-35.
  14. G.V. Milovanović, R. Orive, M.M. Spalević, Quadratures with multiple nodes for Fourier-Chebyshev coefficients, IMA J. Numer. Anal. 39:1 (2019) 271-296.
  15. G.V. Milovanović, M.S. Pranić, M.M. Spalević, Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part II, Appl. Anal. Discrete Math.13 (2019) 1-27.
  16. 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, Electron. Trans. Numer. Anal. 53 (2020) 352-382.
  17. L. Reichel, M.M. Spalević, A new representation of generalized averaged Gauss quadrature rules, Appl. Numer. Math. 165 (2021) 614-619.
  18. B. de la Calle Ysern, M.M. Spalević, On the computation of Patterson-type quadrature rules, J. Comput. Appl. Math. 403C (2022) 113850, 1–15.
  19. L. Rechel, M.M. Spalević, Generalized averaged Gaussian quadrature formulas: Properties and applications, J. Comput. Appl. Math. 410 (2022) 114232, 1-18.
  20. D.Lj. Đukić, R.M. Mutavdžić Đukić, L. Reichel, M.M. Spalević, Internality of averaged Gaussian quadrature rules for certain modification of Jacobi measures, Appl. Comput. Math. (Baku) 22 (2003) 426--442.
  21. L. Fermo, L. Reichel, G. Rodriguez, M.M. Spalević, Averaged Nystrom interpolants for the solution of Fredholm integral equations of the second kind, Appl. Math. Comput. 467 (2024) Art. 128482.

Books, Chapters:

  1. M.M. Spalević and M.S. Pranić, The remainder term of Gauss-Turán quadratures for analytic functions (2010) 253-266. Approximation and Computation: In Honor of Gradimir V. Milovanović, Springer Optimization and Its Applications 42, W. Gautschi et al. (eds.), Springer Science+Business Media, New York, LLC 2011.
  2. G.V. Milovanović, M.A. Kovačević, M.M. Spalević, Numerical mathematics - A collection of solved problems, 2003. [In Serbian]
  3. M.M. Spalević, M.S. Pranić, Numerical methods, 2007. [In Serbian]
  4. A.S. Cvetković, M.M. Spalević, Numerical methods, 2013. [In Serbian]
  5. Miodrag Spalević, Chapter 7: Interpolation and approximation. In: Walter Gautschi, Volume 1: Selected Works with Commentaries, Contemporary Mathematicians, pp.~49-56, Springer Science + Business Media New York 2014.
  6. M.M. Spalević, A.S. Cvetković, I.D. Arandjelović, A.V. Pejčev, D.Lj. Djukić, J.D. Tomanović, Višestruki, krivolinijski i površinski integrali i primene, teorija redova (2015) FME. [In Serbian]
  7. M.M. Spalević, I.D. Arandjelović, D. Doder, A.V. Pejčev, D.Lj. Djukić, J.D. Tomanović, Differential equations (2017) FME. [In Serbian]
  8. G.V. Milovanović, M.M. Spalević, M.S. Pranić: Quadrature Formulae With Multiple Nodes, World Scientific Publ. Co., Singapore – New Jersey – London – Hong Kong, 2022, 400 pp.; in preparation.

Projects:

  1. Participant in the Serbian scientific project \# 04M03 ''Methods and Models in Theoretical, Applied and Industrial Mathematics'' (1998 – 2000);
  2. Participant in the Serbian scientific project \# 2002 ''Applied Orthogonal Systems, Constructive Approximation and Numerical Methods'' (2002 - 2005) (Awarded by Serbian Ministry of Science and Environmental Protection, for the achieved results in research for the years 2002 and 2003);
  3. Participant in Project \# IB7320-111079 SCOPES Joint Research Project ''New Methods for Quadrature'' (Swiss National Science Foundation), 2006-2008;
  4. Leader of the Serbian scientific project \# 144005 ''Approximation of linear operators'' (2006 - 2010);
  5. Leader 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;
  6. Collaborator in the Spanish government scientific project ''Difference Equations and Constructive Approximation: Theory and Applications'' (2015-2017) [The details of the Spanish project are as follows. Name: ''Difference Equations and Constructive Approximation: Theory and Applications''. Main Researcher: Maria Dolores Barrios Rolania, Technical University of Madrid. Number: MTM2014-54053-P].