Petković specializes in the theory of iterative processes for solving
nonlinear equations and
Interval mathematics. He wrote 270 academic papers (153 in
Clarivate Analytics' SCI journals) and 28 books, including four monographs
Iterative Methods for Simultaneous Inclusion of Polynomial Zeros (Springer-Verlag 1989),
Complex Interval Arithmetic and Its Applications (Wiley-VCH 1998),
Point Estimation of Root Finding Methods (Springer-Verlag 2008), and
Multipoint Methods for Solving Nonlinear Equations (Elsevier 2013). Petković papers were cited 1193 times with Hirsch index h=20, while Elsevier's Reference Manager Mendeley displays 1565 citations and h=21. He was visiting professor at the
University of Oldenburg from 1989 to 2001, the
Louis Pasteur University,
Strasbourg (France, 1992), the
University of Tsukuba (Japan, 2001), and a scientific researcher/invited lecturer at
Columbia University,
Harvard University, and at the universities of
Freiburg,
Zurich (
ETH),
Oldenburg,
Berlin (
Humboldt University),
London,
Sofia,
Kiel,
Tokyo,
Tsukuba,
Nagoya and
Vienna. He took part at 60 conferences and congresses, and he was the invited lecturer on two world's congresses in 1992 and 1996, and several international conferences. He was a co-organizer of the international conference at the University of Kiel (Germany) 1998. Petković is an Associate Editor in
Journal of Computational and Applied Mathematics and
Applied Mathematics and Computation and a member of editorial board of
Reliable Computing,
Journal of Applied Mathematics,
Journal of Mathematics and Computing Systems,
Journal of Complex Analysis,
Mathematical Aeterna, and
Novi Sad J. Math. Petković is a member of the Serbian Scientific Society,
New York Academy of Science,
American Mathematical Society, GAMM, and was a member of the Serbian National Council of Science from 2010 to 2015. ==Publications==