HELENA ZARIN – Curriculum Vitae

Personal data

·         Date of birth: April 28, 1974

·         Place of birth: Novi Sad, Serbia

·         Marital status: Married, two children

·         Citizenship: Serbian

Languages

·         Mother tongue: Serbian

·         Foreign languages: English, German (basic)

Education

·         Ph.D., Faculty of Sciences, Novi Sad, Serbia and Montenegro, 2003

·         M.Sc., Faculty of Sciences, Novi Sad, Yugoslavia, 1999

·         B.Sc., Faculty of Sciences, Novi Sad, Yugoslavia, 1993-1997

Experience

·         Full Professor, Faculty of Sciences, Novi Sad, Serbia, since 2013

·         Associate Professor, Faculty of Sciences, Novi Sad, Serbia, 2009-2013

·         Assistant Professor, Faculty of Sciences, Novi Sad, Serbia, 2004-2009

·         Research Assistant, TU Dresden, Germany, June 2001-February 2003 (DAAD, DFG grants)

·         Assistant, Faculty of Sciences, Novi Sad, Yugoslavia, 2000-2004

·         Junior Assistant, Faculty of Sciences, Novi Sad, Yugoslavia, 1998-2000

Teaching

·         Numerical Analysis (BSc in Teaching Mathematics)

·         Financial Mathematics 1 (BSc in Mathematics)

·         Numerical Solving of Equations (MSc in Teaching Mathematics, MSc in Mathematics)

·         Numerical Solving of Partial Differential Equations (MSc in Applied Mathematics)

Research interest

·         numerical methods for partial differential equations

·         finite element methods

·         singularly perturbed problems

·         layer-adapted meshes

Publications

1.    Zarin, H., Exponentially graded mesh for a singularly perturbed problem with two small parameters, Appl. Numer. Math. (2017), http://dx.doi.org/10.1016/j.apnum.2017.06.003

M21

2.    Brdar, M., Zarin, H., Teofanov, Lj., A singularly perturbed problem with two parameters in two dimensions on graded meshes, Comput. Math. Appl. 72(10) (2016), 2582-2603

M21a

3.    Zarin, H., Roos, H.-G., Teofanov, Lj., A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem, Comp. Appl. Math. (2016)
doi: 10.1007/s40314-016-0339-3

M22

4.    Brdar, M., Zarin, H., On graded meshes for a two-parameter singularly perturbed problem, Appl. Math. Comput. 282 (2016), 97-107

M21

5.    Brdar, M., Zarin, H., A singularly perturbed problem with two parameters on a Bakhvalov-type mesh, J. Comput. Appl. Math. 292 (2016), 307-319

M21

6.    Karasuljić, S., Duvnjaković, E., Zarin, H., Uniformly convergent difference scheme for a semilinear reaction-diffusion problem, Adv. Math. Sci. Journal 4(2) (2015), 139-159

M53

1.    Pašić, V., Duvnjaković, E., Karasuljić, S., Zarin, H., A uniformly convergent difference scheme on a modified Shishkin mesh for the singularly perturbed reaction-diffusion boundary value problem, Journal of Modern Methods in Numerical Mathematics 6(1) (2015), 28-43

M53

2.    Zarin, H., On discontinuous Galerkin finite element method for singularly perturbed delay differential equations, Appl. Math. Letters 38 (2014), 27-32

M21

3.    Brdar, M., Zarin, H., Convection-diffusion-reaction problems on a B-type mesh, PAMM 13(1) (2013), 423-424

M33

4.    Linss, T., Radojev, G., Zarin, H., Approximation of singularly perturbed reaction-diffusion problems by quadratic $C^1$-splines, Numer. Algorithms, 61(1) (2012), 35-55

M21

5.    Zarin. H., Gordić, S., Numerical solving of singularly perturbed boundary value problems with discontinuities, Novi Sad Journal of Mathematics, 42(1) (2012), 131-145

M51

6.    Zarin, H., Continuous-discontinuous finite element method for convection-diffusion problems with characteristic layers, J. Comput. Appl. Math. 231(2) (2009), 626-636

M21

7.    Franz, S., Tobiska, L., Zarin, H., A new approach to recovery of discontinuous Galerkin,
J. Comput. Math. 27(6) (2009), 697-712

M21

8.    Teofanov, Lj., Zarin, H., Superconvergence analysis of a finite element method for two–parameter singularly perturbed problems, BIT Numer. Math. 49(4) (2009), 743-765

M22

9.    Roos, H.-G., Zarin, H., A supercloseness result for the discontinuous Galerkin stabilization of convection-diffusion problems on Shishkin meshes, Numer. Meth. Part. Diff. Eq. 23(6) (2007), 1560-1576

M22

10. Teofanov, Lj., Roos, H.-G., Zarin, H., A finite element method for two–parameter singularly perturbed problems in 2D, PAMM 6(1) (2006), 771-772

M33

11. Zarin, H., Roos, H.-G., Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers, Numer. Math. 100(4) (2005), 735-759

M21

12. Roos, H.-G., Zarin, H., The discontinuous Galerkin method for singularly perturbed problems, Proceedings of the ENUMATH Conference 2003 (Prague, Czech Republik, August 18-22, 2003), Numerical Mathematics and Advanced Applications, (eds. M. Feistauer et al.) Springer Verlag, 2004, 736-745

M33

13. Roos, H.-G., Zarin, H., The streamline-diffusion method for a convection-diffusion problem with a point source, J. Comput. Appl. Math. 150(1) (2003), 109-128

M22

14. Roos, H.-G., Zarin, H., The discontinuous Galerkin finite element method for singularly perturbed problems, Proceedings of the Conference CISC 2002 (Berlin, Germany, October 2-5, 2002), Lecture Notes in Computational Science and Engineering, Volume 35, Springer Verlag, 2003, 246-267

M33

15. Roos, H.-G., Zarin, H., Some properties of the discontinuous Galerkin method for one-dimensional singularly perturbed problems, Novi Sad Journal of Mathematics 33(2) (2003), 33-42

M51

16. Roos, H.-G., Zarin, H., The streamline-diffusion method for a convection-diffusion problem with a point source, Proc. Appl. Math. Mech. 2(1) (2003) 493-494

M33

17. Roos, H.-G., Zarin, H., A second order scheme for singularly perturbed differential equations with discontinuous source term, J. Numer. Math. 10(4) (2002), 275-289

M24

18. Herceg, D., Maličić, H., Likić, I., The Zeckendorf numbers and the inverses of some band matrices, Fibonacci Quart. 39(1) (2001), 27-31

M23

19. Surla, K., Herceg, D., Maličić, H., Some comparisons of difference schemes on meshes of Shishkin and Bakhvalov type, Novi Sad Journal of Mathematics 31(1) (2001), 133-140

M51

20. Herceg, D., Surla, K., Radeka, I., Maličić, H., Numerical experiments with different schemes for singularly perturbed problem, Novi Sad Journal of Mathematics 31(1) (2001), 93-101

M51

21. Surla, K., Herceg, D., Maličić, H., Radeka, I., On stability of some difference schemes for SPBVP, Proceedings of the 10th Congress of Yugoslav Mathematicians (Belgrade, Yugoslavia, January 21-24, 2001), 317-320

M63

22. Herceg, D., Maličić, H., Likić, I., On a finite difference analogue of fourth order for boundary value problem, Novi Sad Journal of Mathematics 30(1) (2000), 197-203

M51

23. Herceg, D., Maličić, H., The mesh chopping algorithm for singularly perturbed boundary value problem, Novi Sad Journal of Mathematics 30(1) (2000), 155-164

M51

24. Herceg, D., Krejić, N., Maličić, H., On a finite difference analogue of a singular boundary value problem, Novi Sad Journal of Mathematics 30(1) (2000), 23-31

M51

25. Herceg, D., Krejić, N., Maličić, H., On an iterative method with deflation for systems of equations, Novi Sad Journal of Mathematics 29(1) (1999), 169-175

M51

26. Krejić, N., Maličić, H., On the performance of various types of deflation technique, Bulletins for Applied and Computing Mathematics, 1670/'99 XC-A, 1999, 87-102

M53

27. Herceg, D., Maličić, H., On acceleration for solving singularly perturbed boundary value problem, Novi Sad Journal of Mathematics 29(1) (1999), 155-168

M51

Projects

·         Numerical Methods, Simulations and Applications, Ministry of Education, Science and Technological Development, Republic of Serbia, grant 174030, 2011-2017

·         Collocation methods for singularly perturbed problems, bilateral cooperation MESTD-DAAD, 2010-2011, project leader

·         Numerical Methods for Nonlinear Mathematical Models, Ministry of Science and Technological Development, Republic of Serbia, grant 144016, 2006-2010

·         Numerical Solving of Operator Equations, Ministry of Science and Environmental Protection, Republic of Serbia, grant 1840, 2003-2004

Invited lectures

·         Institute of Numerical Mathematics, Department of Mathematics, Technical University Dresden, Germany, 2009

·         Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University Prague, Czech Republic, 2002

·         Institute for Analysis and Numerics, Faculty of Mathematics, Otto-von-Guericke-University Magdeburg, Germany, 2002

Conferences

·         12th Annual Workshop on Numerical Methods for Problems with Layer Phenomena, Dresden, Germany, April 9-10, 2015.

·         11th Annual Workshop on Numerical Methods for Problems with Layer Phenomena, Novi Sad, Serbia, March 20-21, 2014.

·         ESGI 99 (The 99th European Study Group with Industry), Novi Sad, Serbia, February 3-7, 2014.

·         GAMM 2013, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Novi Sad, Serbia, March 18-22, 2013.

·         Workshop “Numerical analysis for singularly perturbed problems”, TU Dresden, Germany, November 16-18, 2011.

·         XVIII Conference on Applied Mathematics "PRIM 2009", Subotica, Serbia, May 25-27, 2009.

·         12th Serbian Mathematical Congress, Novi Sad, Serbia, August 28-September 2, 2008.

·         BAIL 2008 - Boundary and Interior Layers, Limerick, Ireland, July 28-August 1, 2008.

·         GAMM 2008, 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Germany, March 31-April 4, 2008.

·         XVII Conference on Applied Mathematics "PRIM 2006", Kragujevac, Serbia, September 25-27, 2006.

·         BAIL 2006 - Boundary and Interior Layers, Goettingen, Germany, July 24-28, 2006.

·         GAMM 2006, 77th Annual Scientific Conference, Berlin, Germany, March 27-31, 2006.

·         XVI Conference on Applied Mathematics "PRIM 2004", Budva, Montenegro, May 31-June 4, 2004.

·         ENUMATH 2003 (The European Conference on Numerical Mathematics and Advanced Applications), Prague, Czech Republic, August 18-22, 2003.

·         Workshop “Numerical methods for partial differential equations and control”, TU Dresden, Germany, November 29, 2002.

·         GAMM 2002, 73rd Annual Scientific Conference, Augsburg, Germany, March 25-28, 2002.

·         FEM Symposium, Chemnitz, Germany, September 19-21, 2001.

·         X Congress of Yugoslav Mathematicians, Belgrade, Yugoslavia, January 21-24, 2001.

·         XIV Conference on Applied Mathematics "PRIM 2000", Palić, Yugoslavia, May 29-June 2, 2000.

·         PAMM-Conference, Göd, Hungary, October 14-17, 1999.

·         XIII Conference on Applied Mathematics "PRIM '98", Igalo, Yugoslavia, May 25-29, 1998.

 

 

Updated: June 5, 2017