Publication
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 (2006), 1921-1953.
K. Jegdic, Computation on nonclassical shocks using a spacetime discontinuous Galerkin method, Proceedings of Richard Tapia Conference on Celebrating Diversity in Computing, 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., 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, 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, 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, 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, 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, Honolulu, HI (2011).
K. Jegdic, B. L. Keyfitz, S. Canic, H. Ying, A free boundary value problem for the isentropic gas dynamics equations – transonic regular reflection, submitted.
K. Jegdic, V. Jovanovic, Chain dynamics, submitted.
Presentations
SIAM Annual Meeting, Chicago, IL (7/2014)
Talk: Two-dimensional Riemann problems for gas dynamics equations
AMS Spring Central Sectional Meeting, Texas Tech University, Lubbock, TX (4/2014)
Talk: Two-dimensional Riemann problems for isentropic gas dynamics equations
The 35th PDE Conference, University of North Texas, Denton, TX (3/2014)
Talk: A free boundary problem for the isentropic gas dynamics equations
2013 AMMCS (Applied Mathematics, Modeling and Computational Science)
Recent Progress in Hyperbolic Problems: Theory and Computation, Waterloo, Ontario, Canada (8/2013)
Talk: A free boundary problem for the isentropic gas dynamics equations
The 2nd Annual Technology & Learning Conference, University of Houston - Downtown, Houston, TX (4/2013)
Talk: Teaching differential equations using technology
Wolfram Technology Conference 2011, Champaign, IL (10/2011)
Talk: Teaching partial differential equations using Mathematica
Academic Interest
My research and academic interests are in the area of partial differential equations and development of numerical methods for their approximate solving.
Awards
US NRC (Nuclear Regulatory Commission) Grant
"Teaming Up to Produce Nuclear Power Certificate" (08/01/2014 - 07/31/2016) $150,000 PI: M. J. Parker, Co-PI: M. Benavides, K. Jegdic, M. Jiang, W. Feng
BYU mini CURM (Center for Undergraduate Research in Mathematics) Grant (fall 2014 - spring 2015) $14,000
Department of Education MSEIP Grant "UHD Modeling Intended STEM Success" (10/01/2013 - 09/30/2016) $749,444
PI: M. J. Parker, Co-PI: A. Baird, B. Hoge, K. Jegdic, M. Jiang
Faculty Development Grant, University of Houston – Downtown (spring 2014) $2,557
Organized Research Grant, University of Houston – Downtown
"Study of Spring Vibrations Used in Oil Drilling" (spring 2014) $3,200
Secondary Educators Engaged in Quality Urban Education, University of Houston – Downtown (spring 2011) $1,600
Curriculum Development Grant, University of Houston – Downtown (fall 2010) "A manual of ten undergraduate research projects for upper-level courses in applied mathematics"
Organized Research Grant, University of Houston – Downtown
"Mathematical analysis of gas dynamics equations" (spring 2010) $2,800
Faculty Development Grant, University of Houston – Downtown (spring 2010) $3,865.62
NSF (National Science Foundation) Applied Mathematics
"Prototype Systems of Multidimensional Conservation Laws" (summer 2008 - summer 2011) $175, 000 PI: B. L. Keyfitz, Co-PI: K. Jegdi´c
2007 Norman Hackerman Texas Advanced Research Program
"Multidimensional Conservation Laws - Training and Dissemination"
(summer 2008 - summer 2010) $54,000 total
PI: B. L. Keyfitz, Co-PI: C. Christoforou, K. Jegdi´c
Curriculum Development Grant, University of Houston – Downtown
"Computational Differential Equations" (spring 2008)
Organized Research Grant, University of Houston – Downtown
"Analysis of mixed-type systems of conservation laws" (spring 2008) $2,550
Organized Research Grant, University of Houston – Downtown
"Two-dimensional systems of conservation laws and shock reflection"
(spring 2007) $2,600
Faculty Development Grant, University of Houston – Downtown (spring 2007) $2,000
