报告题目：Asymptotically stable PIC methods for the magnetized Vlasov-Poisson equations in orthogonal curvilinear coordinates

主讲人：孙雅娟研究员（中科院数学与系统科学研究院）

时间：2024年8月8日（周日）14:00 p.m.

地点：北院卓远楼305会议室

主办单位：统计与数学学院

摘要：In this talk, we will present the construction and theory of numerical methods for physical problems in general orthogonal curvilinear coordinates and prove that a Poisson-bracket structure can still be obtained after applying the appropriate finite element discretizations. However, the Hamiltonian systems in the new coordinate systems generally cannot be decomposed into subsystems that can be solved exactly, thus in this talk we will propose a semi-implicit numerical method. This method has been applied to solve the problem under strong magnetic fields and its asymptotic stability will be analyzed.

主讲人简介：

孙雅娟博士于2001年在中科院数学与系统科学研究院获得博士学位，现为中科院数学与系统科学研究院研究员，博士生导师。孙老师主要从事保结构算法及其相关领域的算法构造、理论分析和计算应用。她至今在SCI期刊上发表论文40余篇，主持等离子体物理中的模型方程及其高效算法的理论和数值研究等科研项目近10项。