Katarina Jegdic
Associate 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
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 problem for
the potential flow, Nonlinear Analysis: Theory, Methods and
Applications, Volume 74, Issue 3 (2011), 705-720.
- K. Jegdic, Teaching
Partial Differential Equations Using Technology, Proceedings of the
23rd International Conference on Technology in Collegiate Mathematics
(ICTCM), Denver, CO (2011).
- K. Jegdic, Remarks
on strong regular reflection for the isentropic gas dynamics equations,
Proceedings of the 2011 Mathematics & Engineering Conference, ISSN:
2160-2573, Honolulu, HI (2011).
- K. Jegdic, B. L. Keyfitz,
S. Canic, A
free boundary value problem for the isentropic gas dynamics equations –
transonic regular reflection, submitted.