D02L04 V Jovanovic - Math research at University of Banja Luka

MATH RESEARCH AT UNIVERSITY OF BANJA LUKA Vladimir Jovanovi ć Faculty of Sciences University of Banja Luka Republic of Srpska/ Bosnia and Herzegovina

Discrete Mathematics
Combinatorics
Conducted by: Duško Jojić (Faculty of Scineces)
Combinatorial properties of polytopes (f – vector and its generalizations)
Combinatorics of posets (combinatorial and numerical characteristics of some classes of lattices and posets)

Graph theory
Conducted by: Miroslav Treml (Faculty of Scineces)
Oriented graphs (bi- and multipartitive tournments)
Graph homomorphism
Note: Milanka Janković is currently undertaking her doctoral studies at Oxford University, UK - Random graphs

Numerical Mathematics
Orthogonal polynomials and quadrature formulas
Conducted by: Miroslav Pranić (Faculty of Scineces)
Error estimates for Gauss – Turan and Gauss – Radau quadrature formulas
Numerical methods for constructions of quadrature formulas

Numerical methods for hyperbolic conservation laws
Conducted by: Vladimir Jovanović (Faculty of Scineces)
Error estimates for finite volume schemes
Shallow water equations and their applications to geophysical flows: theory and numerics
Note: Slavko Brdar is currently undertaking his doctoral studies at Freiburg University, Germany
Simulations of atmosheric flow - application of higher order schemes on parallel computers to realistic weather forecast simulations

Analysis
Nonlinear analysis
Conducted by: Zoran Mitrović (Faculty of Electrical Engineering)
Fixed point theory
KKM theory
Variational inequalities

D02L04 V Jovanovic - Math research at University of Banja Luka

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