Rate My Professor Katarina Jegdic

Katarina Jegdic is a Professor of Mathematics at the University of Houston-Downtown, where she serves in the Department of Mathematics and Statistics. She obtained her Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign in 2004. Her doctoral thesis, "Analysis of a spacetime discontinuous Galerkin method for systems of conservation laws," was advised by Robert Jerrard. After completing her Ph.D., she worked as a Visiting Assistant Professor and Research Assistant Professor at the University of Houston. At UHD, she progressed through the ranks, being promoted to Associate Professor effective September 1, 2012.

Dr. Jegdic's research interests encompass partial differential equations and numerical methods, with a focus on the analysis of spacetime discontinuous Galerkin methods and implicit spacetime Godunov finite volume methods for hyperbolic systems and conservation laws. Her work addresses transonic regular reflection, nonlinear wave systems, Riemann problems, gas dynamics equations, multiphase flows, and free boundary problems. She has published extensively on these topics. Key publications include: "Convergence of an implicit spacetime Godunov finite volume method for a class of hyperbolic systems" (SIAM Journal of Numerical Analysis, Vol. 44, Issue 5, 2006); "Transonic regular reflection for the nonlinear wave system" (Journal of Hyperbolic Differential Equations, Vol. 3, No. 3, 2006); "Weak regular reflection for the nonlinear wave system" (Journal of Hyperbolic Differential Equations, Vol. 5, Issue 2, 2008); "Existence and uniqueness analysis of a detached shock problem for the potential flow" (Nonlinear Analysis: Theory, Methods and Applications, Volume 74, Issue 3, 2011); "Interacting rarefaction waves for the unsteady transonic small disturbance equation" (Electronic Journal of Differential Equations, 2016); and "Characteristic decompositions for the unsteady transonic small disturbance equation" (International Journal of Applied Mathematics, 2017). Additionally, Jegdic mentors undergraduate students in the UHD Scholars Academy on projects involving machine learning techniques such as perceptron and logistic regression. She also participates in university governance as a member of the Individual Review Committee.