朱贝贝 副教授（北京科技大学）

唐贻发 研究员

Semiexplicit K-symplectic-like methods with energy conservation for noncanonical Hamiltonian systems

9月24日（周四）15:00-16:00，南楼205

For the nonseparable noncanonical Hamiltonian systems, we propose efficient K-symplectic-like methods which are semiexplicit and energy-preserving. By introducing two copies of the phase space and constructing an augmented Hamiltonian, we can separate the noncanonical Hamiltonian system into two explicitly integrable parts. Subsequently, explicit K-symplectic methods can be constructed by using the splitting and composing method. To enforce constraints on the two copies of the phase space, we provide two transformations with energy conservation property. This enables us to obtain semiexplicit K-symplectic-like methods that preserve energy. Numerical results on two noncanonical Hamiltonian systems demonstrate that the energy errors of our proposed methods remain bounded within machine precision over long time without exhibiting energy drift.

报告人简介：朱贝贝，北京科技大学副教授，硕士生导师，博士毕业于中国科学院数学与系统科学研究院，研究方向为哈密尔顿系统的保结构算法，在 IMA Journal of Numerical Analysis、J. Comput. Phys. 等知名期刊发表多篇SCI论文，曾主持第九届中国科协青年人才托举工程项目，国家自然科学基金青年基金项目。担任中国仿真学会第五届青年工作委员会副主任、第九届仿真算法专业委员会秘书等职务。