Yazar "Karasözen, Bülent" için listeleme
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Derivative free multilevel optimization
Karasözen, Bülent (Işık University Press, 2015)Optimization problems with different levels arise by discretization of ordinary and partial differential equations. We present a trust-region based derivative-free multilevel optimization algorithm. The performance of the ... -
Energy preserving integration of bi-Ham
Karasözen, Bülent; Şimşek, Görkem (Işık University Press, 2013-01-04)The energy preserving average vector field (AVF) integrator is applied to evolutionary partial differential equations (PDEs) in bi-Hamiltonian form with nonconstant Poisson structures. Numerical results for the Korteweg ... -
Energy preserving integratıon of KDV-KDV systems
Karasözen, Bülent; Şimşek, Görkem (Işık University Press, 2012-07-01)Coupled Korteweg de Vries (KdV) equations in Hamiltonian form are integrated by the energy preserving average vector field (AVF) method. Numerical results confirm long term preservation of the energy and the quadratic ... -
Energy preserving methods for volterra lattice equation
Karasözen, Bülent; Erdem, Özge (Işık University Press, 2011-09-11)We investigate linear energy preserving methods for the Volterra lattice equation as non-canonical Hamiltonian system. The averaged vector field method was applied to the Volterra lattice equation in bi-Hamiltonian form ... -
Streamline upwind/Petrov Galerkin solution of optimal control problems governed by time dependent diffusion-convection-reaction equations
Akman, Tuğba; Karasözen, Bülent; Kanar Seymen, Zahire (Işık University Press, 2017)The streamline upwind/Petrov Galerkin (SUPG) finite element method is studied for distributed optimal control problems governed by unsteady diffusion-convectionreaction equations with control constraints. We derive stability ...
