High-order structure-preserving methods for damped Hamiltonian systems
Speaker: 李露副教授，中山大学数学学院（珠海）
Inviter: 尚在久研究员
Title: High-order structure-preserving methods for damped Hamiltonian systems
Language: Chinese
Time & Venue: 2024.08.21 20:00-21:00 腾讯会议：456 420 107 密码：0821
Abstract: 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.
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FROM 202.120.11.*