Energy preserving model order reduction of the nonlinear Schrödinger equation B Karasözen, M Uzunca Advances in Computational Mathematics 44, 1769-1796, 2018 | 33 | 2018 |
Adaptive discontinuous Galerkin methods for non-linear diffusion–convection–reaction equations M Uzunca, B Karasözen, M Manguoğlu Computers & Chemical Engineering 68, 24-37, 2014 | 30 | 2014 |
Optimal control of convective FitzHugh–Nagumo equation M Uzunca, T Küçükseyhan, H Yücel, B Karasözen Computers & Mathematics with Applications 73 (9), 2151-2169, 2017 | 27 | 2017 |
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 | 25 | 2021 |
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 | 22 | 2018 |
Moving Mesh Discontinuous Galerkin Methods for PDEs with Traveling Waves M Uzunca, B Karasözen, T Küçükseyhan Applied Mathematics and Computation 292, 9-18, 2017 | 14 | 2017 |
Structure preserving integration and model order reduction of skew-gradient reaction–diffusion systems B Karasözen, T Küçükseyhan, M Uzunca Annals of Operations Research 258, 79-106, 2017 | 13 | 2017 |
Energy stable model order reduction for the Allen-Cahn equation M Uzunca, B Karasözen Model Reduction of Parametrized Systems, 403-419, 2017 | 13 | 2017 |
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 | 9 | 2020 |
Model order reduction for nonlinear Schrödinger equation B Karasözen, C Akkoyunlu, M Uzunca Applied Mathematics and Computation 258, 509-519, 2015 | 9 | 2015 |
Structure-preserving reduced-order modeling of Korteweg–de Vries equation M Uzunca, B Karasözen, S Yıldız Mathematics and Computers in Simulation 188, 193-211, 2021 | 8 | 2021 |
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 | 8 | 2017 |
Adaptive discontinuous Galerkin methods for non-linear reactive flows M Uzunca Birkh? user,, 2016 | 8 | 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 | 7 | 2016 |
Linearly implicit methods for Allen-Cahn equation M Uzunca, B Karasözen Applied Mathematics and Computation 450, 127984, 2023 | 6 | 2023 |
Reduced order modelling of nonlinear cross-diffusion systems B Karasözen, G Mülayim, M Uzunca, S Yıldız Applied Mathematics and Computation 401, 126058, 2021 | 6 | 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 | 6 | 2021 |
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 | 5 | 2020 |
Global energy preserving model reduction for multi-symplectic PDEs M Uzunca, B Karasözen, A Aydın Applied Mathematics and Computation 436, 127483, 2023 | 4 | 2023 |
Energy preserving reduced-order modeling of the rotating thermal shallow water equation B Karasözen, S Yıldız, M Uzunca Physics of Fluids 34 (5), 2022 | 4 | 2022 |