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Showing 2017 · math.NAShow all
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math.NA2017★ 19 cited
Energy preserving model order reduction of the nonlinear Schrödinger equation
Bülent Karasözen, Murat Uzunca
An energy preserving reduced order model is developed for two dimensional nonlinear Schrödinger equation (NLSE) with plane wave solutions and with an external potential. The NLSE i…
math.NA2017★ 6 cited
Reduced Order Optimal Control of the Convective FitzHugh-Nagumo Equation
Bülent Karasözen, Murat Uzunca, Tuğba Küçükseyhan
In this paper, we compare three model order reduction methods: the proper orthogonal decomposition (POD), discrete empirical interpolation method (DEIM) and dynamic mode decomposit…