Tatjana Tomović, Ph.D. - PublicationsPUBLICATIONS
Monographs
1. T. Tomović: Quadrature Rules of Gaussian Type for Trigonometric Polynomials, Andrejević Endowment, Belgrade, 2015, 111 pp. (in Serbian)
Refereed Journals
17. 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
16. G.V. Milovanović, M.P. Stanić, T.V. Tomović Mladenović: Gaussian type quadrature rules related to the oscillatory modification of generalized Laguerre weight functions, J. Comput. Appl. Math. 437 (2024), 8 pages.
15. M. P. Stanić, T. V. Tomović Mladenović, A. Ne. Jovanović: Quadrature rules of Gaussian type for trigonometric polynomials with preassigned nodes, Appl. Numer. Math. 200 (2024), 399-408
14. S. Aleksić, A. Cabada, S. Dimitrijević, T. V. Tomović Mladenović: The existence of a solution for nonlinear fractional differential equations where nonlinear term depends on the fractional and first order derivative of an unknown function, FILOMAT 37 (12) (2023), 3871--3882.
13. N.Z. Petrović, M.P. Stanić, and T.V. Tomović Mladenović: Anti-Gaussian quadrature rules for trigonometric polynomials, FILOMAT 36 (3) (2022), 1005-1019.
12. 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), 193-211.
11. A. Cabada, S. Aleksic, T. Tomovic, S. Dimitrijevic: Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems, Mediterr. J. Math. 16 (119) (2019), 18 pages.
10. 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.
9. T.V. Tomović, M.P. Stanić: Construction of the optimal set of two or three quadrature rules in the sense of Borges, Numer. Algorithms, 78 (4) (2018), 1087-1109.
8. A. Cabada, S. Dimitrijevic, T. Tomovic, S. Aleksic: The existence od positive solution for nonlinear fractional differential equations with integral boundary conditions, Math. Methods Appl. Sci. 40 (6) (2017), 1880-1891.
7. M.P. Stanić, T.V. Tomović: Multiple orthogonality in the space of trigonometric polynomials of semi-integer degree, FILOMAT 29 (10) (2015) 2227-2237.
6. T.V. Tomović, M.P. Stanić: Quadrature rules with an even number of multiple nodes and a maximal trigonometric degree of exactness, FILOMAT 29 (10) (2015) 2239-2255.
5. G.V. Milovanović, M.P. Stanić, 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.
4. M.P. Stanić, A.S. Cvetković, 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.
3. M.P. Stanić, A.S. Cvetković, T.V. Tomović: Error estimates for some quadrature rules with maximal trigonometric degree of exactness, Math. Methods Appl. Sci. 37 (11) (2014), 1687-1699.
2. M.P. Stanić, A.S. Cvetković, T.V. Tomović: Error bound of certain Gaussian quadrature rules for trigonometric polynomials, Kragujevac J. Math. 36 (1) (2012), 63-72.
1. A.S. Cvetković, M.P. Stanić, Z.M. Marjanović, T.V. Tomović: Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree, Appl. Math. Comput. 218 (23) (2012), 11528-11533.
Conference Proceedings
1. 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
PUBLICATIONS
Monographs
1. T. Tomović: Quadrature Rules of Gaussian Type for Trigonometric Polynomials, Andrejević Endowment, Belgrade, 2015, 111 pp. (in Serbian)
Refereed Journals
17. 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
16. G.V. Milovanović, M.P. Stanić, T.V. Tomović Mladenović: Gaussian type quadrature rules related to the oscillatory modification of generalized Laguerre weight functions, J. Comput. Appl. Math. 437 (2024), 8 pages.
15. M. P. Stanić, T. V. Tomović Mladenović, A. Ne. Jovanović: Quadrature rules of Gaussian type for trigonometric polynomials with preassigned nodes, Appl. Numer. Math. 200 (2024), 399-408
14. S. Aleksić, A. Cabada, S. Dimitrijević, T. V. Tomović Mladenović: The existence of a solution for nonlinear fractional differential equations where nonlinear term depends on the fractional and first order derivative of an unknown function, FILOMAT 37 (12) (2023), 3871--3882.
13. N.Z. Petrović, M.P. Stanić, and T.V. Tomović Mladenović: Anti-Gaussian quadrature rules for trigonometric polynomials, FILOMAT 36 (3) (2022), 1005-1019.
12. 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), 193-211.
11. A. Cabada, S. Aleksic, T. Tomovic, S. Dimitrijevic: Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems, Mediterr. J. Math. 16 (119) (2019), 18 pages.
10. 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.
9. T.V. Tomović, M.P. Stanić: Construction of the optimal set of two or three quadrature rules in the sense of Borges, Numer. Algorithms, 78 (4) (2018), 1087-1109.
8. A. Cabada, S. Dimitrijevic, T. Tomovic, S. Aleksic: The existence od positive solution for nonlinear fractional differential equations with integral boundary conditions, Math. Methods Appl. Sci. 40 (6) (2017), 1880-1891.
7. M.P. Stanić, T.V. Tomović: Multiple orthogonality in the space of trigonometric polynomials of semi-integer degree, FILOMAT 29 (10) (2015) 2227-2237.
6. T.V. Tomović, M.P. Stanić: Quadrature rules with an even number of multiple nodes and a maximal trigonometric degree of exactness, FILOMAT 29 (10) (2015) 2239-2255.
5. G.V. Milovanović, M.P. Stanić, 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.
4. M.P. Stanić, A.S. Cvetković, 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.
3. M.P. Stanić, A.S. Cvetković, T.V. Tomović: Error estimates for some quadrature rules with maximal trigonometric degree of exactness, Math. Methods Appl. Sci. 37 (11) (2014), 1687-1699.
2. M.P. Stanić, A.S. Cvetković, T.V. Tomović: Error bound of certain Gaussian quadrature rules for trigonometric polynomials, Kragujevac J. Math. 36 (1) (2012), 63-72.
1. A.S. Cvetković, M.P. Stanić, Z.M. Marjanović, T.V. Tomović: Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree, Appl. Math. Comput. 218 (23) (2012), 11528-11533.
Conference Proceedings
1. 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
