Marija Stanić, Ph.D. - Publications

Monographs

1. M. Stanić: Numerical Integration of Oscillatory Functions, Andrejević Endowment, Belgrade, 2008, 145 pp. (in Serbian)

 

Books (in Serbian)

 

21. B. Popović, M. Stanić, S. Milojević and N. Vulović: Mathematics - Collection of Tasks for the 6th Grade of Primаry School, Klett, Belgrade, 2023.

20.  B. Popović, M. Stanić, S. Milojević and N. Vulović: Mathematics - Collection of Tasks for the 5th Grade of Primаry School, Klett, Belgrade, 2022.

19. B. Popović, M. Stanić, S. Milojević and N. Vulović: Mathematics - Collection of Tasks for the 8th Grade of Primаry School, Klett, Belgrade, 2021.

18. B. Popović, M. Stanić, S. Milojević and N. Vulović: Mathematics - Collection of Tasks for the 7th Grade of Primаry School, Klett, Belgrade, 2020.

17. B. Z. Popović, M. P. Stanić: Collection of Problems in Mathematics for the Preparation of Entrance Exam at the Faculty of Medical Sciences, third suplemented edition, Faculty of Medical Sciences, University of Kragujevac, Kragujevac, 2020.

16. B. Popović, M. Stanić, S. Milojević and N. Vulović: Mathematics - Collection of Tasks for the 6th Grade of Primаry School, Klett,Belgrade, 2019.

15. B. Popović, M. Stanić, S. Milojević and N. Vulović: Mathematics - Collection of Tasks for the 5th Grade of Primаry School, Klett, Belgrade, 2018, 230 pp.

14. M. Stanić: Kangourou sans Frontières, International Mathematical Competition, Problems and Solutions for Students From 5th to 8th Grade of Primary School in the Period From 2007 to 2017, Mathematical Society of Serbia, Belgrade, 2017.

13. B. Z. Popović, M. P. Stanić: Collection of Problems in Mathematics for the Preparation of Entrance Exam at the Faculty of Medical Sciences, second suplemented edition, Faculty of Medical Sciences, University of Kragujevac, Kragujevac, 2017.

12. B. Z. Popović, M. P. Stanić: Collection of Problems in Mathematics for the Preparation of Entrance Exam at the Faculty of Medical Sciences, Faculty of Medical Sciences, University of Kragujevac, Kragujevac, 2016, 184 pp.

11. M. Stanić: Kangourou sans Frontières, International Mathematical Competition, Problems and Solutions for Students From 1st to 4th Grade of Primary School in the Period From 2007 to 2016, Mathematical Society of Serbia, Belgrade, 2016.

10. B. Popović, M. Stanić, S. Milojević, and N. Vulović: Mathematics - Collection of Tasks for the 6th Grade of Primаry School, Klett, Belgrade, 2016, 150 pp.

9.  M. Stanić: Tangenta 600 -Collection of Problems Published in Section Mathematical Problems in Journal “Tangenta”, Mathematical Society of Serbia, Belgrade, 2014, 296 pp.

8. N. Ikodinović, M. Stanić, M. Pavlović, and S. Simić: Mathematics 3, University of Kragujevac, Faculty of Mechanical Engineering, Kragujevac, 2011, 267 pp.

7. 1000 Problems from Mathematical Primary School Competitions 2000-2009, Mathematical Society of Serbia, Belgrade, 2010, IV+268 pp. (with Members of the Committee for Mathematical Primary School Competitions in Serbia)

6. 1000 Problems from Mathematical Primary School Competitions 1998-2007, Mathematical Society of Serbia, Belgrade, 2007, IV+254 pp. (with Members of the Committee for Mathematical Primary School Competitions in Serbia)

5. M. Stanić, S. Dimitrijević, S. Simić, and D. Bojović: Functional Analysis - Collection of Problems, University of Kragujevac, Faculty of Science, Kragujevac, 2007, 252 pp.

4. D. Bojović, B. Popović, and M. Stanić: Partial and Integral Equations - Collection of Problems, University of Kragujevac, Faculty of Science, Kragujevac, 2006, VI+240 pp.

3. 1000 Problems from Mathematical Primary School Competitions 1996-2005, Mathematical Society of Serbia, Belgrade, 2006, IV+255 pp. (with Members of the Committee for Mathematical Primary School Competitions in Serbia)

2. M. Stanić and N. Ikodinović: Number Theory - Collection of Problems, The Institute for School Books and Teaching Aids, Belgrade, 2004, 320 pp.

1. 1000 Problems from Mathematical Primary School Competitions 1994-2003, Mathematical Society of Serbia, Belgrade, 2003, VI+320 pp. (with Members of the Committee for Mathematical Primary School Competitions in Serbia)

 

 Book Chapters

4.  G.V. Milovanović and M. P. Stanić: Quadrature rules with multiple nodes, In: Mathematical Analysis, Approximation Theory and Their Applications, Series: Springer Optimization and its Applications, Vol. 111 (Th.M. Rassias, V. Gupta, eds.), pp.435-462, Springer, 2016, ISBN 978-3-319-31279-8.

3.  G.V. Milovanović and M. P. Stanić: Numerical integration of highly-oscillating functions, In: Analytic Number Theory, Approximation Theory, and Special Functions - In Honor of Hari M. Srivastava (G.V. Milovanovic, M.Th.Rassias, eds.), pp.613-649, Springer, 2014, ISBN 978-1-4939-0257-6.

2. G.V. Milovanović and M. P. Stanić: Multiple orthogonality and applications in numerical integration, In: Nonlinear Analysis: Stability, Approximation, and Inequalities, Series: Springer Optimization and its Applications, Vol. 68 (P. Georgiev, P.M. Pardalos, H.M. Srivastava eds.), Chapter 26, pp. 431-455, Springer-Verlag, Berlin-Heidelberg-New York, 2012, ISBN 978-1-4614-3497-9.

1. A.S. Cvetković and M. P. Stanić: Trigonometric orthogonal systems, In: Approximation and Computation -In Honor of Gradimir V. Milovanović, Series: Springer Optimization and its Applications, Vol. 42 (W. Gautschi, G. Mastroianni, Th.M. Rassias eds.), pp. 103-116, Springer-Verlag, Berlin-Heidelberg-New York, 2011, ISBN 978-1-4419-6593-6.

 

 Refereed Journals

43. N.Z. Petrović, M.S. Pranić, M.P. Stanić, and T.V. Tomović Mladenović: The set of anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges' sense, J. Comput. Appl. Math. 442 (2024) 115733.

42. G.V. Milovanović, M.P. Stanić, and T.V. Tomović Mladenović: Gaussian type quadrature rules related to the oscillatory modification of generalized Laguerre weight functions, J. Comput. Appl. Math. 442 (2024) 115476.

41. M.P. StanićT.V. Tomović Mladenović, and A.Ne. Jovanović: Quadrature rules of Gaussian type for trigonometric polynomials with preassigned notesAppl. Numer. Math. 200 (2024), 399-408.

40. B. Popović, S. Dimitrijević, M. Stanićand A. MilenkovićStudents’ success in solving mathematical problems depending on different representationsThe Teaching of Mathematics 25 (2) (2022), 74-92.

39. N.Z. Petrović, M.P. Stanić, and T.V. Tomović Mladenović: Anti-Gaussian quadrature rules for trigonometric polynomials, FILOMAT 36 (3) (2022), 1005-1019.

38. M.C. De Bonis, M.P. Stanić, and T.V. Tomović Mladenović: Nyström methods for approximating the solutions of an integral equation arising from a problem in mathematical biology, Appl. Numer. Math 171 (2022), 193-2011.

37. A.N. Jovanović, M.P. Stanić, and T.V. Tomović: Construction of the optimal set of quadrature rules in the sense of Borges, Electron. Trans. Numer. Anal. 50 (2018), 164-181.

36. T.V. Tomović, M.P. Stanić: Construction of the optimal set of two or three quadrature rules in the sense of Borges, Numer. Algorithms78 (4) (2018), 1087-1109.

35. M.P. Stanić, T.V. Tomović: Multiple orthogonality in the space of trigonometric polynomials of semi-integer degree, FILOMAT  29 (10) (2015), 2227-2237.

34. T.V. Tomović, M.P. Stanić: Quadrature rules with an even number of multiple nodes and a maximal trigonometric degree od exactness, FILOMAT 29 (10) (2015), 2239-2255.

33. A.S. Cvetković, G.V. Milovanović, and M.P. Stanić: Positive solution of a class of operator equations, Ukrainian Math. J. 67 (2) (2015), 283-301 [Ukrain. Mat. Zh. 67 (2015), 245-260].

32. G.V. Milovanović, M.P. Stanić, and T.V. Tomović: Trigonometric multiple orthogonal polynomials of semi-integer degree and the corresponding quadrature formulas, Publ. Inst. Math. (Beograd) (N.S.) 96 (110) (2014), 211-226.

31. M.P. Stanić, A.S. Cvetković, and T.V. Tomović: Error estimates for quadrature rules with maximal even trigonometric degree of exactness, Rev. R. Acad. Cienc. Exactas, Fis. Nat. Ser. A. Mat. RACSAM 108 (2014), 603-615.

30. M.P. Stanić: Multiple orthogonal polynomials on the semicircle and applications, Appl. Math. Comput. 243 (2014), 269-282.

29. A.S. Cvetković, S. Radenović, S. Simić, and M.P. Stanić: Generalized φ-contraction for four mappings on solid cone metric spaces, Indian J. Math 56 (2) (2014), 209-228.

28. M.P. Stanić, A.S. Cvetković, and T.V. Tomović: Error estimates for some quadrature rules with maximal trigonometric degree of exactness, Math. Methods Appl. Sci. 37 (11) (2014), 1687-1699.

27. M.P. Stanić, I. Gutman: Towards a definition of almost-equienergetic graphs, J. Math. Chem. 52 (1) (2014), 213-221.

26. M.P. Stanić, I. Gutman: On almost-equienergetic graphs, MATCH Commun. Math. Comput. Chem. 70 (2) (2013), 681-688.

25. Lj.R. Janković, V.Đ. Miltenović, M.P. Stanić, and Đ.V. Miltenović: Analytic and experimental determination of gear pair degree of efficiency, Journal of the Balkan Tribological Association 19 (2)  (2013), 202-213.

24. M.P. Stanić, A.S. Cvetković, and T.V. Tomović: Error bound of certain Gaussian quadrature rules for trigonometric polynomials, Kragujevac J. Math. 36 (1) (2012), 63-72.

23. A.S. Cvetković, M.P. Stanić, Z.M. Marjanović, and T.V. Tomović: Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree, Appl. Math. Comput. 218 (23)  (2012), 11528-11533.

22. S. Dimitrijević, B.Z. Popović, and M.P. Stanić: Computer use in mathematics teaching - overview of the situation in Serbia, Croatian Journal of Education 14 (2) (2012), 387-415.

21. M.P. Stanić, A.S. Cvetković, S. Simić, and S. Dimitrijević: Common fixed point under contractive condition of Ćirić's type on cone metric type space, Fixed Point Theory Appl. (2012), 2012:35.

20. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: A trigonometric orthogonality with respect to a nonnegative Borel measure, FILOMAT 26:4 (2012), 689-696.

19. M.P. Stanić, A.S. Cvetković: Orthogonal polynomials with respect to modified Jacobi weight and corresponding quadrature rules of Gaussian type, Numer. Math. Theor. Meth. Appl. 4 (4) (2011), 478-488.

18. A.S. Cvetković, M.P. Stanić, S. Dimitrijević, and S. Simić: Common fixed point theorems for four mappings on cone metric type space, Fixed Point Theory Appl.  Volume 2011 (2011), Article ID 589725, 15 pages, doi:10.1155/2011/589725

17. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: A generalized Birkhoff-Young-Chebyshev quadrature formula for analytic functions, Appl. Math. Comput. 218 (3) (2011), 944-948.

16. G.  Monegato, L. Scuderi, and M.P. Stanić: Lubich convolution quadratures and their application to problems described by space-time BIEs, Numer. Algorithms 56 (3) (2011), 405-436.

15. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Moment functional and orthogonal trigonometric polynomials of semi-integer degree, J. Comput. Anal. Appl. 13 (5) (2011), 907-922.

14. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness, Numer. Math. 112 (3) (2009), 425-448.

13. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures, Appl. Math. Lett. 22 (8) (2009), 1189-1194.

12. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Christofell-Darboux formula for orthogonal trigonometric polynomials of semi-integer degree, Facta Univ. Ser. Math. Inform. 23 (2008), 29-37.

11. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Trigonometric orthogonal systems and quadrature formulae, Comput. Math. Appl. 56 (11) (2008), 2915-2931.

10. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree, Appl. Math. Comput. 198 (2) (2008), 559-573.

9. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: A special Gaussian rule for trigonometric polynomials, Banach J. Math. Anal. 1 (2007), no. 1, 85-90.

8. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Two conjectures for integrals with oscillatory integrands, Facta Univ. Ser. Math. Inform. 22, No. 1 (2007), 77-90.

7. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Gaussian quadratures for oscillatory integrands, Appl. Math. Lett. 20 (8) (2007), 853-860.

6. G.V. Milovanović, A.S. Cvetković, and M.P. Stanić: Trigonometric orthogonal systems and quadrature formulae with maximal trigonometric degree of exactness, NMA 2006, Lecture Notes in Comput. Sci. 4310 (2007), 402-409.

5. G.V. Milovanović, A.S. Cvetković, M.P. Stanić: Multiple orthogonal polynomials on the semicircle, Facta Univ. Ser. Math. Inform. 20 (2005), 41-55.

4. G.V. Milovanović, M. Stanić: Multiple orthogonality and quadratures of Gaussian type, Rend. Circ. Mat. Palermo, Serie II, Suppl. 76 (2005), 75-90.

3.  M. Stanić: S-orthogonality on the semicircle, Kragujevac J. Math. 26 (2004) 39-48.

2. G.V. Milovanović, M. Stanić: Multiple orthogonal polynomials on the semicircle and corresponding quadratures of Gaussian type, Math. Balkanica (N. S.) 18 (2004) 373-387.

1. G.V. Milovanović, M. Stanić: Construction of multiple orthogonal polynomials by discretized Stieltjes-Gautschi procedure and corresponding Gaussian quadratures, Facta Univ. Ser. Math. Inform. 18 (2003) 9-29.

 

Conference Proceedings

2. M.P. Stanić, A.S. Cvetković, and T.V. Tomović: Error bounds for some quadrature rules with maximal trigonometric degree of exactness, AIP Conf. Proc. 1479 (2012), 1042-1045 / DOI 10.1063/1.4756324

1. G.V. Milovanović, A.S. Cvetković, and M. Stanić: Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness, In: PAMM • Proc. Appl. Math. Mech. 7 (2007), 2020043-2020044 / DOI 10.1002/pamm.200700281

 

Other

  • Several articles for primary and high school students and teachers, which were published in relevant Serbian reviews.

6. 1000 Problems from Mathematical Primary School Competitions 1998- 2007, Mathematical Society of Serbia, Belgrade, 2007 (with Members of the Committee for Mathematical Primary School Competitions in Serbia).

5. M. Stanić, S. Dimitrijević, S. Simić and D. Bojović: Functional Analysis - A Collection of Problems, University of Kragujevac, Faculty of Science, Kragujevac, 2007.

4. D. Bojović, B. Popović and M. Stanić: Partial and Integral Equations - A Collection of Problems, University of Kragujevac, Faculty of Science, Kragujevac, 2006.

3. 1000 Problems from Mathematical Primary School Competitions 1996- 2005, Mathematical Society of Serbia, Belgrade, 2006 (with Members of the Committee for Mathematical Primary School Competitions in Serbia).

2. M. Stanić and N. Ikodinović: Number Theory - A Collection of Problems, The Institute for School Books and Teaching Aids, Belgrade, 2004.

1. 1000 Problems from Mathematical Primary School Competitions 1994- 2003, Mathematical Society of Serbia, Belgrade, 2003 (with Members of the Committee for Mathematical Primary School Competitions in Serbia).