Linearly Implicit Exponential Integrators for Damped Hamiltonian Pdes
Yazarlar (2)
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
Bülent Karasözen
Sinop Üniversitesi, Türkiye
Sinop Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematical Methods in the Applied Sciences (Q1) | ||
| Dergi ISSN | 0170-4214 Dergi Bilgileri (2026) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2026 |
| Cilt / Sayı / Sayfa | 49 / 2 / 588–601 | DOI | 10.1002/mma.70174 |
| Makale Linki | https://doi.org/10.1002/mma.70174 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| We construct second‐order structure‐preserving two‐step linearly implicit exponential integrators for Hamiltonian partial differential equations with linear constant damping combining discrete gradient methods and polarization of the polynomial Hamiltonian function. We also construct an exponential version of the well‐known one‐step Kahan's method by polarizing the quadratic vector field. These integrators are applied to one‐dimensional damped Burger's, Korteweg‐de Vries, and nonlinear Schrödinger equations. Preservation of the dissipation rate is demonstrated for linear and quadratic conformal invariants and for the Hamiltonians by numerical experiments. |
| Anahtar Kelimeler |
| dissipation preservation | exponential integrator | Hamiltonian systems | linear damping | linearly implicit integrator | polarization |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 4 |