Postprocessing of Continuous Galerkin Solutions for Delay Differential Equations with Nonlinear Vanishing Delay
Year: 2019
Author: Qiumei Huang, Kun Jiang, Xiuxiu Xu
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 5 : pp. 718–730
Abstract
In this paper we propose several postprocessing techniques to accelerate the convergence of the continuous Galerkin solutions for delay differential equations with nonlinear vanishing delay. They are interpolation postprocessings (including integration type, Lagrange type, and polynomial preserving recovery type) and iteration postprocessing. The theoretical expectations are confirmed by numerical experiments.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-13250
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 5 : pp. 718–730
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Pantograph delay differential equations quasi-graded mesh continuous Galerkin methods postprocessing global superconvergence.