Model order reduction for nonlinear Schrödinger equation
Yazarlar (3)
Bülent Karasözen
Orta Doğu Teknik Üniversitesi, Türkiye
Orta Doğu Teknik Üniversitesi, Türkiye
Dr. Öğr. Üyesi Canan Akkoyunlu İstanbul Kültür Üniversitesi, Türkiye
Prof. Dr. Murat UZUNCA Middle East Technical University (Metu), Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematics and Computation (Q1) | ||
| Dergi ISSN | 0096-3003 Dergi Bilgileri (2015) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2015 |
| Cilt / Sayı / Sayfa | 258 / 1 / 509–519 | DOI | 10.1016/j.amc.2015.02.001 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300315001538 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
|
||
| Özet |
| We apply the proper orthogonal decomposition (POD) to the nonlinear Schrödinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure preserving symplectic mid-point rule. A priori error estimates are derived for the POD reduced dynamical system. Numerical results for one and two dimensional NLS equations, coupled NLS equation with soliton solutions show that the low-dimensional approximations obtained by POD reproduce very well the characteristic dynamics of the system, such as preservation of energy and the solutions. |
| Anahtar Kelimeler |
| Error analysis | Model order reduction | Nonlinear Schrödinger equation | Proper orthogonal decomposition |
Science Direct
Model order reduction for nonlinear Schrödinger equation
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 7 |
| Scopus | 6 |
| Google Scholar | 9 |