Katarina Jegdic
Assistant Professor
Department of Computer and
Mathematical Sciences
University of
Houston-Downtown
One Main Street,
Houston, TX 77002
Contact Information:
Office: S726
E-mail: jegdick@uhd.edu
Teaching:
Research:
- K. Jegdic, Analysis of a spacetime discontinuous
Galerkin method for systems of conservation laws, Ph.D. thesis, University of Illinois at Urbana-Champaign
(2004).
- K. Jegdic, R. Jerrard, 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), 1921-1953.
- K. Jegdic, Computation
on nonclassical shocks using a spacetime discontinuous Galerkin method,
IEEE-CS ACM Digital Library, Proceedings of Richard Tapia Conference on
Celebrating Diversity in Computing, ISBN:1-59593-257-7, Albuquerque, NM
(2005), 28-31.
- K. Jegdic, B. L. Keyfitz, S. Canic, Transonic regular reflection for the unsteady transonic small disturbance
equation - details of the subsonic solution, Free and Moving
Boundaries Analysis, Simulation and Control: Roland Glowinski, Jean-Paul
Zolesio (Eds.), Lect. Notes Pure Appl. Math., Chapman & Hall/CRC, Boca
Raton, FL, Vol. 252 (2007), 125-165.
- K. Jegdic, B. L. Keyfitz, S. Canic, Transonic regular reflection for the
nonlinear wave system, Journal of Hyperbolic Differential Equations,
Vol. 3, No. 3 (2006), 443-474.
- K. Jegdic, B. L. Keyfitz, S. Canic, A Riemann problem for the isentropic
gas dynamics equations, Proceedings of the MSRI/AWM Workshop “The
legacy of Ladyzhenskaya and Oleinik”, Berkeley, CA (2006), 165-170.
- K. Jegdic, Review
of “Hyperbolic conservation laws in continuum physics" by C. Dafermos,
SIAM Review, Vol. 48, no. 3 (2006), 614-615.
- K. Jegdic, Remarks
on a free boundary problem for the nonlinear wave system: weak regular
reflection, Dynamics of Continuous, Discrete and Impulsive
Systems, Series A Mathematical Analysis 14, Advances in Dynamical Systems,
suppl. S2 (2007), 168-173.
- K. Jegdic, Numerical
solutions to a two-dimensional Riemann problem for gas dynamics equations,
Proceedings of the 11th WSEAS International Conference on
Applied Mathematics, ISBN: 978-960-8457-60-7, ISSN: 1790-5117, Dallas, TX
(2007), 237-242.
- K. Jegdic, Numerical approximations of Riemann solutions to
multiphase flows used in petroleum engineering, Proceedings of the 9th WSEAS
International Conference on Mathematical and Computational Methods in Science
and Engineering, ISBN: 978-960-6766-11-4, ISSN: 1790-5117, The University
of West Indies at St. Augustine, Trinidad & Tobago (2007), 39-44.
- K. Jegdic, A
quasi-one-dimensional Riemann problem for the isentropic gas dynamics
equations, Proceedings of the 9th WSEAS International Conference on
Mathematical and Computational Methods in Science and Engineering, ISBN:
978-960-6766-11-4, ISSN: 1790-5117, The University of West Indies at St.
Augustine, Trinidad & Tobago (2007), 210-215.
- K. Jegdic, Weak
regular reflection for the nonlinear wave system, Journal of
Hyperbolic Differential Equations, Vol. 5, Issue 2 (2008), 399-420.
- J. Chen, C. Christoforou,
K. Jegdic, Rarefaction wave
interaction for the unsteady transonic small disturbance equations,
Proceedings of The 15th American Conference on Applied
Mathematics, ISBN: 978-960-474-071-0, ISSN: 1790-5117, University of
Houston – Downtown, Houston, TX (2009), 211-216.
- J. Chen, C. Christoforou,
K. Jegdic, Existence and uniqueness
analysis of a detached shock for the potential flow, in preparation.
Links:
Serbian Orthodox Church St. Sava, Houston,
TX
Serbian Orthodox Church Ss.
Constantine and Helen, Galveston, TX
Antiochian Orthodox Church St.
Nicholas, Urbana, IL