424 citations
- Middle East Technical UniversityTR163 papers
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15 papers · 1 filter
Reduced-order modeling for Ablowitz-Ladik equation
Murat Uzunca, Bülent Karasözen
In this paper, reduced-order models (ROMs) are constructed for the Ablowitz-Ladik equation (ALE), an integrable semi-discretization of the nonlinear Schrödinger equation (NLSE) wit…
Global energy preserving model reduction for multi-symplectic PDEs
Murat Uzunca, Bülent Karasözen, Ayhan Aydın
Many Hamiltonian systems can be recast in multi-symplectic form. We develop a reduced-order model (ROM) for multi-symplectic Hamiltonian partial differential equations (PDEs) that…
Nonintrusive model order reduction for cross-diffusion systems
Bulent Karasozen, Murat Uzunca, Gulden Mulayim
In this paper, we investigate tensor based nonintrusive reduced-order models (ROMs) for parametric cross-diffusion equations. The full-order model (FOM) consists of ordinary differ…
Intrusive and non-intrusive reduced order modeling of the rotating thermal shallow water equation
Süleyman Yıldız, Murat Uzunca, Bülent Karasözen
In this paper, we investigate projection-based intrusive and data-driven non-intrusive model order reduction methods in numerical simulation of rotating thermal shallow water equat…
Energy preserving reduced-order modelling of thermal shallow water equation
Suleyman Yildiz, Murat Uzunca, Bulent Karasozen
In this paper, Hamiltonian and energy preserving reduced-order models are developed for the rotating thermal shallow water equation (RTSWE) in the non-canonical Hamiltonian form wi…
Reduced order modelling of nonlinear cross-diffusion systems
Bülent Karasözen, Gülden Mülayim, Murat Uzunca +1
In this work, we present a reduced-order model for a nonlinear cross-diffusion problem from population dynamics, for the Shigesada-Kawasaki-Teramoto (SKT) equation with Lotka-Volte…