Model Order Reduction on Control Problems of Navier-Stokes Equations

Evcin, Cansu
Uğur, Ömür


Model order reduction for nonlinear Schrodinger equation
Karasözen, Bülent; Uzunca, Murat (2015-05-01)
We apply the proper orthogonal decomposition (POD) to the nonlinear Schrodinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure preserving symplectic mid-point rule. A priori error estimates are derived for the POD reduced dynamical system. Numerical results for one and two dimensional NLS equations, coupled NLS equation with soliton solutions show that the low-dimensional approximations obtained by POD reprodu...
Model Order Reduction for Pattern Formation inFitzHugh Nagumo Equation
Karasözen, Bülent (null; 2015-10-12)
Model-based Inversion Methods for Compressive Spectral Imaging with Diffractive Lenses
Dogan, Didem; Öktem, Sevinç Figen (null; 2020-06-22)
We develop novel model-based inversion methods for compressive spectral imaging with diffractive lenses. These fast image reconstruction methods, exploiting data- adaptive convolutional dictionaries and sparsifying transforms, are applicable to any computational imaging problem with convolutional models.
Model Order Reduction for Pattern Formation of FitzHugh-Nagumo Equation
Küçükseyhan, Tuğba; Karasözen, Bülent; Uzunca, Murat (2017-04-29)
Model development for phase equilibrium and PVT calculations using virial equation of state
Kiş, Kemal; Orbey, Hasan; Department of Chemical Engineering (1989)
Citation Formats
C. Evcin and Ö. Uğur, “Model Order Reduction on Control Problems of Navier-Stokes Equations,” 2017, Accessed: 00, 2021. [Online]. Available: