Reduced-order modeling for Ablowitz-Ladik equation
Yazarlar (2)
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
Bülent Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematics and Computers in Simulation (Q1) | ||
| Dergi ISSN | 0378-4754 Dergi Bilgileri (2023) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2023 |
| Cilt / Sayı / Sayfa | 213 / 1 / 261–273 | DOI | 10.1016/j.matcom.2023.06.013 |
| Makale Linki | http://dx.doi.org/10.1016/j.matcom.2023.06.013 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| 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) with and without damping. Both ALEs are non-canonical conservative and dissipative Hamiltonian systems with the Poisson matrix depending quadratically on the state variables, and with quadratic Hamiltonian. The full-order solutions are obtained with the energy preserving midpoint rule for the conservative ALE and exponential midpoint rule for the dissipative ALE. The reduced-order solutions are constructed intrusively by preserving the skew-symmetric structure of the reduced non-canonical Hamiltonian system by applying proper orthogonal decomposition (POD) with the Galerkin projection. For an efficient offline–online decomposition of the ROMs, the quadratic nonlinear terms of the Poisson matrix are approximated by the discrete … |
| Anahtar Kelimeler |
| Discrete empirical interpolation | Hamiltonian systems | Nonlinear Schrödinger equation | Proper orthogonal decomposition | Tensors |
Science Direct
Reduced-order modeling for Ablowitz-Ladik equation
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| Atıf Sayıları | |
| Google Scholar | 1 |