High-order convergence of spectral deferred correction methods on general quadrature nodes
type: Item
instance of: scholarly article
title: High-order convergence of spectral deferred correction methods on general quadrature nodes
zbMATH Open document ID: 1277.65062
author: Tao Tang
author: Xiaobo Yin
author: Hehu Xie
published in: Journal of Scientific Computing
publication date: 2013-06-19T00:00:00Z
review text: This paper shows how to modify the spectral deferred correction method such that when applied to ordinary differential equations via the equivalent integral operator with higher-order Runge-Kutta methods high-order convergence rates are attained. This is demonstrated for both uniform and non-uniform quadrature nodes. This is confirmed by two numerical tests on simple scalar problems.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6176982
zbMATH Keywords: spectral deferred correction
zbMATH Keywords: non-uniform nodes
zbMATH Keywords: high-order convergence
zbMATH Keywords: numerical examples
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: general quadrature nodes
reviewed by: Kevin Burrage
MaRDI profile type: Publication
full work available at URL: s10915-012-9657-9
OpenAlex ID: W2031644642
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DOI: 10.1007/S10915-012-9657-9
description: scientific article; zbMATH DE number 6176982