报告人：王斌（西安交通大学）

报告时间：2026年11月5日（星期四）9:00-11:30

报告地点：腾讯会议：548 924 694

报告摘要：We propose and analyze structure-preserving low-regularity integrators for the Gross--Pitaevskii (GP) equation by combining underlying low-regularity schemes with relaxation and projection corrections. Existing structure-preserving low-regularity methods are either only approximately mass- and energy-preserving or exactly mass-preserving but implicit. In contrast, our mass-preserving schemes are fully explicit and exactly conservative. We also construct the first exactly energy-preserving integrator that retains the low-regularity advantage of the underlying scheme and requires only a scalar nonlinear solve. We establish bounds and well-posedness of the correction parameters and analyze their effects on convergence and regularity requirements. Numerical experiments demonstrate the accuracy, exact preservation of the invariants, and high efficiency of the proposed methods under low regularity.

报告人简介：王斌，西安交通大学教授、博士生导师，德国洪堡学者，先后入选西安交通大学青年拔尖支持计划、思源学者、小米学者。2013年博士毕业于南京大学，2011-2012年在英国剑桥大学联合培养博士，2017-2019年在德国图宾根大学从事博士后研究工作。主要研究方向为微分方程数值解法、等离子体模型方程数值算法、保结构算法理论与应用及多尺度计算方法，在 Found. Comput. Math.、SIAM 系列、Numer. Math、IMA Numer. Anal.、J. Comput. Phys.等期刊发表多篇学术论文，主持国家自然科学基金和陕西省青A项目，参与国家重点研发计划一项。

邀请人：王季红