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 | 23 | 2021 |
Learning reduced‐order dynamics for parametrized shallow water equations from data S Yıldız, P Goyal, P Benner, B Karasözen International Journal for Numerical Methods in Fluids 93 (8), 2803-2821, 2021 | 17 | 2021 |
Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation B Karasözen, S Yıldız, M Uzunca Applied Mathematics and Computation 421, 126924, 2022 | 9* | 2022 |
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 | 6 | 2021 |
Reduced order modelling of nonlinear cross-diffusion systems B Karasözen, G Mülayim, M Uzunca, S Yıldız Applied Mathematics and Computation 401, 126058, 2021 | 5 | 2021 |
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 |
Data‐Driven Learning of Reduced‐Order Dynamics for a Parametrized Shallow Water Equation S Yıldız, P Goyal, P Benner, B Karasözen PAMM 20 (S1), e202000360, 2021 | 4 | 2021 |
Reduced-order modelling of shallow water equations S Yıldız Middle East Technical University, 2021 | 2 | 2021 |
Structure-Preserving Reduced-Order Modeling of Non-Traditional Shallow Water Equation S Yildiz, M Uzunca, B Karasözen Model Reduction of Complex Dynamical Systems, 327-345, 2021 | 1 | 2021 |
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics P Goyal, S Yıldız, P Benner arXiv preprint arXiv:2308.13835, 2023 | | 2023 |
Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems S Yildiz, P Goyal, P Benner arXiv preprint arXiv:2308.02625, 2023 | | 2023 |
Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems S Yildiz, P Goyal, T Bendokat, P Benner arXiv preprint arXiv:2308.01084, 2023 | | 2023 |
Energy preserving reduced-order modelling of thermal shallow water equation S Yildiz, M Uzunca, B Karasozen arXiv preprint arXiv:2011.01540, 2020 | | 2020 |
Numerical solution of semi-linear advection-diffusion-reaction equations by discontinuous galerkin methods S Yıldız Middle East Technical University, 2016 | | 2016 |