动力系统研究中心：High-order structure-preserving methods for damped Hamiltonian systems

中国科学院数学与系统科学研究院

数学研究所

学术报告

动力系统研究中心

报告人：李露 副教授 中山大学数学学院（珠海）

题  目：High-order structure-preserving methods for damped Hamiltonian systems

时  间：2024年8月21日（周三） 20：00-21：00

地  点：腾讯会议号 456 420 107， 密码：0821

摘  要：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.