中文摘要：

本文介绍局部间断有限元（LDG）方法，构造求解奇异摄动Volterra积分微分方程的LDG数值格式．算例表明，在局部加密网格下，LDG解的数值通量在节点处具有2p＋1阶的一致超收敛性质．

英文摘要：

In this paper the local discontinuous Galerkin （LDG） numerical scheme for solving singularly perturbed Volterra integro - differential equations is constructed. Numerical example demonstrates that under the layer - adapted meshes the numerical flux of the LDG solution at nodes possesses the 2p ＋ 1 order uniform superconvergenee property.