Tina Bosner

Doc. dr. sc. Tina Bosner Faculty of Science, Department of Mathematics University of Zagreb Bijenička 30 10000 Zagreb e-mail: phone: ++385 1 4605 741

Science

Fields of interest:

• Chebyshev theory
• stable algorithms for calculating with splines, and their application
• CAGD

Publications:

1. T. Bosner, et al., On calculating with lower order Chebyshev splines, Curves and Surfaces Design, Nashville, 2000, Vanderbild Univ. Press, pp. 343-353. (link)
2. T. Bosner, et al., Stable algorithms for calculating with q-splines, Proceedings of Computational and Applied Mathematics, 2001, pp. 99-104.(link)
3. T. Bosner, Polar forms of splines and knot insertion algorithms (in Croatian), master's thesis, Dept. of Mathematics, University of Zagreb, 2002. (ps, pdf)
4. T. Bosner, et al., A de Boor type algorithm for tension splines, Curve and Surface Fitting, Brentwood, 2003, Nashboro Press, pp. 343-352. (link)
5. T. Bosner, Knot insertion algorithms for weighted splines, Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, 2005, pp. 151-160. (link)
6. T. Bosner, Knot insertion algorithms for Chebyshev splines, PhD thesis, Dept. of Mathematics, University of Zagreb, 2006.(ps, pdf)
7. T. Bosner, et al., Numerically stable algorithm for cycloidal splines, Annali dell'Universita di Ferrara, 53(2), 2007, pp. 189-197.(link)
8. T. Bosner and, et al., Non-uniform exponential tension splines, Numerical Algorithms, 46(3), 2007, pp. 265-294. (link)
9. T. Bosner, et al., Collocation by singular splines, Annali dell'Universita di Ferrara, 54(2), 2008, pp. 217-227.(link)
10. T. Bosner, et al., Comparison of operator-fitted methods for singularly perturbed advection-diffusion-reaction problems, Proceedings of the 3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources (MAMERN 2009), 2009, pp. 521-525. (link)
11. T. Bosner, Basis of splines associated with singularly perturbed advection-diffusion problems, Mathematical Communications, 15(1), 2010, pp. 1-12.(link)
12. T. Bosner, et al., Singularly perturbed advection-diffusion-reaction problems: Comparison of operator-fitted methods, Mathematics and computers in simulation, 81(10), 2011, pp. 2215-2224. (link)
13. T. Bosner, et al., Variable degree polynomial splines are Chebyshev splines, Advances in computational mathematics, 38(2), 2013, pp. 383-400. (link)
14. T. Bosner et al., Tension spline with application on image resampling, Mathematical Communications, 19(3), 2014, pp. 517-529. (link)
15. T. Bosner, et al., Quadratic convergence of approximations by CCC-Schoenberg operators, Numerische Mathematik, 135(4), 2017, pp. 1253-1287, DOI: 10.1007/s00211-016-0831-0. (link)
16. T. Bosner, et al., Application of CCC-Schoenberg operators on image resampling, BIT Numerical Mathematics, 60, 2020., pp. 129-155, DOI: 10.1007/s10543-019-00770-7. (link)
17. T. Bosner, High order approximation by CCC-spline quasi-interpolants, Journal of Computational and Applied Mathematics, 442, 2024, DOI: 10.1016/j.cam.2023.115715. (link)

Software:

• Program codes for calculating with C¹ and C² tension splines (see PhD thesis Publications: 6.)
  • short instructions: ReadMe.txt
  • C¹ tension splines: TensionSplinesC1.zip
  • C² tension splines: TensionSplinesC2.zip

Teaching

Time-table in the winter semester of the school year 2025/26:

• Practicum in numerical methods of statistics
  • Friday 9:00-13:00 in Practicum 2
• Numerical methods in physics 1
  • Monday 13:00-15:00 in the room P2 (Geophysics)
  • Wednesday 14:00-16:00 in the room P2 (Geophysics)

Consulting:

The consultings in the summer semester of the school year 2025/26 are on Monday 15:00-17:00 in the room 223.