Miroslav Pranic

Professor Miroslav Pranic serves as a Full Professor in the Department of Theoretical Mathematics within the Faculty of Natural Sciences and Mathematics at the University of Banja Luka, Bosnia and Herzegovina. His academic career centers on advancing theoretical and computational aspects of numerical integration and approximation theory.

His research expertise spans several interconnected domains:

• Numerical Quadrature Development (Gaussian, Gauss-Turan, Rational variants)
• Error Analysis and Estimation Frameworks
• Orthogonal Polynomial and Rational Function Systems
• Recurrence Relations in Approximation Theory
• Numerical Integration of Singular Functions

Professor Pranic's publication record demonstrates sustained contributions to leading journals including SIAM Journal on Numerical Analysis and Numerische Mathematik. His 2013 collaborations with Lothar Reichel produced breakthrough work on rational Gauss quadrature and orthogonal rational function recurrence relations, extending classical integration methods to handle complex singularities. Earlier work (2008-2010) established rigorous error bounds for specialized quadrature formulas, providing critical theoretical foundations for computational accuracy.

He maintains active research partnerships across international institutions, particularly with scholars in the United States and Serbia. While specific grant details aren't provided, his continuous high-impact publications indicate sustained research funding. Professor Pranic contributes significantly to mathematics education at all levels within the Faculty of Natural Sciences and Mathematics, mentoring students in theoretical numerical methods.