@Article{JCM-19-407,
author = {Zhang , Shu-HuaLin , TaoLin , Yan-Ping and Rao , Ming},
title = {Extrapolation and A-Posteriori Error Estimators of Petrov-Galerkin Methods for Non-Linear Volterra Integro-Differential Equations},
journal = {Journal of Computational Mathematics},
year = {2001},
volume = {19},
number = {4},
pages = {407--422},
abstract = {<p style="text-align: justify;">In this paper we will show that the Richardson extrapolation can be used to enhance the numerical solution generated by a Petrov-Galerkin finite element method for the initial-value problem for a nonlinear Volterra integro-differential equation. As by-products, we will also show that these enhanced approximations can be used to form a class of a-posteriori estimators for this Petrov-Galerkin finite element method. Numerical examples are supplied to illustrate the theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8993.html}
}