学术报告20251211：​Completed Extrapolation Structure-Preserving Algorithms for Hamiltonian Partial Differential Equations

报告人：孔令华 教授 江西师范大学

报告题目：Completed Extrapolation Structure-Preserving Algorithms for Hamiltonian Partial Differential Equations

摘 要：Most of practical structure-preserving schemes are implicit and are of low accuracy. If one wants to accelerate the convergence order, the common high precision structure-preserving schemes are complicated in computation and not very executable. For this reason, this work is devoting to improving the convergence order of numerical solution practically and easily by combining the extrapolating method with structure-preserving schemes. Some extrapolating structure-preserving schemes are designed for nonlinear Schrödinger equations based on the well-known second order multisymplectic Preissman scheme. Some numerical experiments are reported to support the advantages of extrapolating structure-preserving schemes.

报告人简介：孔令华教授，江西师范大学，博士生导师，江西省百千万人才，江西省青年科学家培养对象，江西省高校学科带头人。主要研究偏微分方程的保结构算法，特别是在哈密尔顿系统高效辛和多辛格式的构造方面取得了一些研究成果，并获江西省自然科学三等奖。主持包括面上项目在内的国家自然科学基金4项，包括重点项目在内的江西省自然科学基金7项。发表SCI收录论文四十余篇。

报告时间：2025年12月11日，10:00--13:00

报告地点：腾讯会议（会议号：935-692-811）

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内蒙古大学数学科学学院

2025年12月9日