28 citations · 213 across the 31 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.DS2026
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…
math.NA2026
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…
nlin.CD2026
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…