14 citations · 21 across the 5 of their papers we have counts for
5 papers
Predicting periodic solutions of cyclic Lotka-Volterra equations with dynamic mode decomposition
Bülent Karasözen, Murat Uzunca
Cyclic Lotka-Volterra systems in form of ODEs and PDEs are solved by linearly implicit Kahan's method, that preserves the quadratic Poisson bracket, phase space volume, Hamiltonian…
Structure preserving integration of 3D dissipative bi-Hamiltonian/Nambu systems
Bülent Karasözen, Murat Uzunca
A structure-preserving splitting integrator is developed for 3D dissipative bi-Hamiltonian/Nambu systems. The integrator uses Strang splitting for conservative and dissipative part…
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…
Pricing European and American Options under Heston Model using Discontinuous Galerkin Finite Elements
Sinem Kozpınar, Murat Uzunca, Bülent Karasözen
This paper deals with pricing of European and American options, when the underlying asset price follows Heston model, via the interior penalty discontinuous Galerkin finite element…
Poisson integrators
B. Karasözen
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Hamiltonian ode's, pde's and lattice equations are presented. Numerical integrators…