报告题目: High-index saddle dynamics and solution landscape of space-fractional problems

报告人：郑祥成研究员（山东大学）

报告时间：2023年4月15日（星期六）16:00—17:30

报告地点：文理楼290室

报告摘要：

High-index saddle dynamics provides an effective means to compute the any-index saddle points and construct the solution landscape. We provide numerical analysis for high-index saddle dynamics by resolving the difficulties from, e.g. the strong nonlinearity and the construction of the unstable space. Then we propose a fast algorithm for the variable-order spectral fractional Laplacian, which reduces the computational cost from O(M^2 ln M) to O(M ln^2 M) where M refers to the size of the discretized problem. Based on the fast algorithm, we apply high-index saddle dynamics to efficiently construct and analyze the solution landscape of space-fractional phase field problems.

报告人简介：

郑祥成，山东大学数学学院研究员、齐鲁青年学者，主要从事非线性问题多解计算方法和非局部问题的理论与数值分析等方面研究。近五年发表SCI论文70余篇，包括《SIAM J. Numer. Anal.》4篇及《SIAM J. Control Optim.》《IMA J. Numer. Anal.》《Inverse Problems》《Comput. Meth. Appl. Mech. Engrg.》《J. Comput. Phys.》等，担任《SIAM J. Sci. Comput.》等40余种SCI期刊的审稿人。主持中国博士后国际交流引进项目、中国博士后科学基金特别资助、面上资助等。

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