Murat Uzunca
Murat Uzunca
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Adaptive discontinuous Galerkin methods for non-linear diffusion–convection–reaction equations
M Uzunca, B Karasözen, M Manguoğlu
Computers & chemical engineering 68, 24-37, 2014
Energy preserving model order reduction of the nonlinear Schrödinger equation
B Karasözen, M Uzunca
Advances in Computational Mathematics 44 (6), 1769-1796, 2018
Optimal control of convective FitzHugh–Nagumo equation
M Uzunca, T Küçükseyhan, H Yücel, B Karasözen
Computers & Mathematics with Applications 73 (9), 2151-2169, 2017
Energy Stable Discontinuous Galerkin Finite Element Method for the Allen-Cahn Equation
B Karasözen, M Uzunca, A Sarıaydın-Filibelioğlu, H Yücel
International Journal of Computational Methods 15 (1), 1850013 (26 pages), 2018
Structure preserving model order reduction of shallow water equations
B Karasözen, S Yıldız, M Uzunca
Mathematical Methods in the Applied Sciences 44 (1), 476-492, 2021
Structure preserving integration and model order reduction of skew-gradient reaction–diffusion systems
B Karasözen, T Küçükseyhan, M Uzunca
Annals of Operations Research 258 (1), 79-106, 2017
Energy stable model order reduction for the Allen-Cahn equation
M Uzunca, B Karasözen
Model Reduction of Parametrized Systems, 403-419, 2017
Model order reduction for nonlinear Schrödinger equation
B Karasözen, C Akkoyunlu, M Uzunca
Applied Mathematics and Computation 258, 509-519, 2015
Energy stable interior penalty discontinuous galerkin finite element method for cahn–hilliard equation
A Sarıaydın-Filibelioğlu, B Karasözen, M Uzunca
International Journal of Nonlinear Sciences and Numerical Simulation 18 (5 …, 2017
Moving Mesh Discontinuous Galerkin Methods for PDEs with Traveling Waves
M Uzunca, B Karasözen, T Küçükseyhan
Applied Mathematics and Computation 292, 9-18, 2017
Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows
M Uzunca
Birkhäuser, 2016
Model Order Reduction for Pattern Formation in FitzHugh-Nagumo Equations
B Karasözen, M Uzunca, T Küçükseyhan
Numerical Mathematics and Advanced Applications ENUMATH 2015, 369-377, 2016
Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism
B Karasözen, M Uzunca
GEM-International Journal on Geomathematics 5 (2), 255-288, 2014
A Matlab Tutorial for Diffusion-Convection-Reaction Equations using DGFEM
M Uzunca, B Karasözen
arXiv preprint arXiv:1502.02941, 2015
Pricing European and American options under Heston model using discontinuous Galerkin finite elements
S Kozpınar, M Uzunca, B Karasözen
Mathematics and Computers in Simulation 177, 568-587, 2020
Reduced order optimal control of the convective FitzHugh–Nagumo equations
B Karasözen, M Uzunca, T Küçükseyhan
Computers & Mathematics with Applications 79 (4), 982-995, 2020
Structure preserving reduced order modeling for gradient systems
TA Yıldız, M Uzunca, B Karasözen
Applied Mathematics and Computation 347, 194-209, 2019
Adaptive discontinuous galerkin methods for non-linear reactive flows
M Uzunca
Middle East Technical University, 2014
Reduced order modelling of nonlinear cross-diffusion systems
B Karasözen, G Mülayim, M Uzunca, S Yıldız
Applied Mathematics and Computation 401, 126058, 2021
Intrusive and non-intrusive reduced order modeling of the rotating thermal shallow water equation
S Yıldız, M Uzunca, B Karasözen
arXiv preprint arXiv:2104.00213, 2021
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