424 citations
- Middle East Technical UniversityTR163 papers
- Adıyaman UniversityTR151 papers
- Bingöl UniversityTR151 papers
- Istanbul Technical UniversityTR150 papers
- University of RochesterUS150 papers
- A. Alikhanyan National LaboratoryAM149 papers
- Beihang UniversityCN149 papers
- Boğaziçi UniversityTR149 papers
- Brown UniversityUS149 papers
- Brunel University of LondonGB149 papers
- California Institute of TechnologyUS149 papers
- Carnegie Mellon UniversityUS149 papers
4 papers · 2 filters
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…
Structure-preserving reduced-order modelling of Korteweg de Vries equation
Bulent Karasozen, Murat Uzunca, Suleyman Yildiz
Computationally efficient, structure-preserving reduced-order methods are developed for the Korteweg de Vries (KdV) equations in Hamiltonian form. The KdV equation is discretized i…
Structure-preserving Reduced Order Modeling of non-traditional Shallow Water Equation
Süleyman Yıldız, Murat Uzunca, Bülent Karasözen
An energy preserving reduced order model is developed for the nontraditional shallow water equation (NTSWE) with full Coriolis force. The NTSWE in the noncanonical Hamiltonian/Pois…