Multistep collocation methods for delay Volterra integro-differential equations       

主讲人：明万元（南昌航空大学）

摘要：In this talk, we are concerned with collocation methods for a class of Volterra functional integro-differential equations. Firstly, a multistep collocation scheme is constructed based on the θ-invariant mesh. Then the optimal global and local superconvergence orders of the proposed methods are discussed in detail. It turns out that for a set of suitably chosen collocation parameters, the convergence orders of r-step and m-point collocation method may reach m + r globally and 2m + r −1 at the mesh points, which are much higher than those for the classical one-step collocation method. Finally, several illustrative numerical experiments are provided to demonstrate the efficiency and accuracy of the proposed methods.

主讲人简介：明万元，博士，南昌航空大学数学与信息科学学院副教授，主要从事积分方程与积分微分方程数值解法研究。主持国家自然科学基金、江西省自然科学基金以及江西省教育厅科技计划项目各1项，在J. Comput. Appl. Math.，Comput. Math. Appl.，Numer. Algorithms等国内外学术期刊发表SCI论文10余篇。   

邀请人：黄乘明

时间：2026年10月17日上午10：00—12：00

地点： 科技楼南楼706室