报告题目:Relaxation structure-preserving schemes and their applications
报告时间:2024-05-28 10:30-11:30
报 告 人:李东方 教授(华中科技大学)
报告地点:理学院东北楼二楼报告厅(209)
Abstract: A family of novel structure-preserving
schemes are presented for numerically solving conservative/dissipative systems.
These schemes are constructed by using the relaxation idea in the time
discretization. After obtaining the relaxation parameter, it is shown that the
methods can be arbitrarily high-order accurate, linearly implicit and keep the
original discrete energy conserved/stable. Numerical comparisons with various
typical structure-preserving schemes are presented. The numerical results show
that the proposed schemes are highly competitive and effective.