تقرير
High-order Structure-preserving Methods for Damped Hamiltonian System
| العنوان: | High-order Structure-preserving Methods for Damped Hamiltonian System |
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| المؤلفون: | Li, Lu |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Mathematical Physics |
| الوصف: | We present a novel methodology for constructing arbitrarily high-order structure-preserving methods tailored for damped Hamiltonian systems. This method combines the idea of exponential integrator and energy-preserving collocation methods, effectively preserving the energy dissipation ratio introduced by the damping terms. We demonstrate the conservative properties of these methods and confirm their order of accuracy through numerical experiments involving the damped Burger's equation and Korteweg-de-Vries equation. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.06613 |
| رقم الأكسشن: | edsarx.2408.06613 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |