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math.NA2022
Reduced-order modeling for Ablowitz-Ladik equation
Murat Uzunca, Bülent Karasözen
In this paper, reduced-order models (ROMs) are constructed for the Ablowitz-Ladik equation (ALE), an integrable semi-discretization of the nonlinear Schrödinger equation (NLSE) wit…
math.NA2022★ 5 cited
Global energy preserving model reduction for multi-symplectic PDEs
Murat Uzunca, Bülent Karasözen, Ayhan Aydın
Many Hamiltonian systems can be recast in multi-symplectic form. We develop a reduced-order model (ROM) for multi-symplectic Hamiltonian partial differential equations (PDEs) that…