报告题目 (Title)：Highly efficient and accurate algorithms for constrained PDEs
报告题目 (中文)：约束PDE的高效高精度算法
报告人 (Speaker)： 程青 特聘研究员（同济大学）
报告时间 (Time)：2024年10月30日(周三) 10:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：李新祥
报告摘要：In the talk, I will introduce a new approach to construct efficient and accurate structure-preserving schemes for a class of constrained PDEs. To be more specific, I will introduce how to construct positivity/bound-preserving, length-preserving, energy-dissipative schemes for a large class of PDEs. I will establish stability results under a general setting, and carry out an error analysis for second-order structure-preserving schemes. Finally, I will apply our approach to several typical PDEs which preserve structures described above. Some numerical results will be presented to validate our approach.