Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type

Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type: "Hermann Brunner, Qiumei Huang, and Hehu Xie

This paper is concerned with the application of the discontinuous Galerkin method to delay differential equations with vanishing delay $qt$ ($0<q<1$). Our aim is to establish optimal global and local superconvergence results on uniform meshes and compare these with analogous estimates for collocati ... [SIAM J. Numer. Anal. 48, 1944 (2010)] published Tue Nov 30, 2010."