19 citations · 32 across the 4 of their papers we have counts for
5 papers
Reduced order modeling for spatio-temporal pattern approximation in diffusive Lotka-Volterra equations
Bülent Karasözen, Murat Uzunca
This paper presents an efficient reduced order modeling (ROM) framework for simulating spatio-temporal pattern formation in three-species diffusive Lotka-Volterra systems. To allev…
Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation
Süleyman Yıldız, Pawan Goyal, Peter Benner +1
This paper discusses a non-intrusive data-driven model order reduction method that learns low-dimensional dynamical models for a parametrized shallow water equation. We consider th…
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 Model Order Reduction of Shallow Water Equations
Bülent Karasözen, Süleyman Yıldız, Murat Uzunca
In this paper, we present two different approaches for constructing reduced-order models (ROMs) for the two-dimensional shallow water equation (SWE). The first one is based on the…
Staggered grids discretization in three-dimensional Darcy convection
B. Karasozen, A. D. Nemtsev, V. G. Tsybulin
We consider three-dimensional convection of an incompressible fluid saturated in a parallelepiped with a porous medium. A mimetic finite-difference scheme for the Darcy convection…