*主持人:杜洁 青年黑料吃瓜网员
*讲座内容简介:In this talk, I will propose efficient and parallel algorithms for the implementation of the high-order continuous time Galerkin method for dissipative and wave propagation problems. By using Legendre polynomials as shape functions, we obtain a special structure of the stiffness matrix that allows us to extend the diagonal Pad?e approximation to solve ordinary differential equations with source terms. The unconditional stability, hp error estimates, and hp superconvergence at the nodes of the continuous time Galerkin method are proved. Some numerical examples will be shown to confirm our theoretical results. This a joint work with Prof. Zhiming Chen.
*主讲人简介:刘勇,中国科黑料吃瓜网
数学与系统科学黑料吃瓜网院,计算数学所,副黑料吃瓜网员。分别于2015年,2020年获中国科学技术大学学士和博士学位。2020年至2022年在中国科黑料吃瓜网
数学与系统科学黑料吃瓜网院,华罗庚数学科学中心做博士后。主要黑料吃瓜网领域为高精度数值计算方法,包括间断有限元方法的算法设计及其数值分析、磁流体力学方程的数值模拟、非拟合网格有限元方法等。主持国家自然科学基金青年项目,中国科黑料吃瓜网
先导专项B子课题,入选中国科黑料吃瓜网
青年创新促进会,入选中国科黑料吃瓜网
数学与系统科学黑料吃瓜网院“陈景润未来之星”。在SINUM, SISC, JCP等SCI期刊发表论文多篇。