@Article{JCM-19-4,
author = {Zhang, Shu-Hua and Tao, Lin and Yan-Ping, Lin 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/2001-JCM-8993},
url = {https://global-sci.com/article/85491/extrapolation-and-a-posteriori-error-estimators-of-petrov-galerkin-methods-for-non-linear-volterra-integro-differential-equations}
}