TY - JOUR
T1 - Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations
AU - Dongfang Li & Chengjian Zhang
JO - Journal of Computational Mathematics
VL - 5
SP - 574
EP - 588
PY - 2011
DA - 2011/10
SN - 29
DO - http://doi.org/10.4208/jcm.1107-m3433
UR - https://global-sci.org/intro/article_detail/jcm/8493.html
KW - Discontinuous Galerkin methods, Delay differential equations, Orthogonal
analysis, Superconvergence.
AB - <p style="text-align: justify;">This paper deals with the discontinuous Galerkin (DG) methods for delay differential equations. By an orthogonal analysis in each element, the superconvergence results of the methods are derived at nodal points and eigenpoints. Numerical experiments will be carried our to verify the effectiveness and the theoretical results of the proposed methods.</p>