数学学科Seminar第2761讲 约束PDE的高效高精度算法

创建时间:  2024/10/30  龚惠英   浏览次数:   返回

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

主办部门:金沙威尼斯欢乐娱人城数学系

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.

上一条:数学学科Seminar第2762讲 偏微分方程的局部赫米特近似特解法

下一条:数学学科Seminar第2760讲 Kohn--Sham 广义特征值问题的一种新的分裂方法


数学学科Seminar第2761讲 约束PDE的高效高精度算法

创建时间:  2024/10/30  龚惠英   浏览次数:   返回

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

主办部门:金沙威尼斯欢乐娱人城数学系

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.

上一条:数学学科Seminar第2762讲 偏微分方程的局部赫米特近似特解法

下一条:数学学科Seminar第2760讲 Kohn--Sham 广义特征值问题的一种新的分裂方法