A priori error estimates for Corrington's Walsh function method
type: Item
instance of: scholarly article
title: A priori error estimates for Corrington's Walsh function method
zbMATH Open document ID: 0823.34014
DOI: 10.1016/0016-0032(94)90100-7
author: B. G. Sloss
author: William F. Blyth
published in: Journal of the Franklin Institute
publication date: 1995-10-30T00:00:00Z
review text: \textit{M. S. Corrington} [IEEE Trans. Circuit Theory, CT-20, No. 5, 470-476 (1973)], introduced the following method for solving linear differential equations: The differential equation is transformed into an integral equation for the highest derivative, which is solved approximately by a truncated Walsh series, and an approximation for the wanted solution is obtained by integration. The paper derives a priori error estimates in \(L^ 2\) norm for the approximation of the highest derivative, which imply the convergence of Corrington's method. A numerical example is discussed.
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 65J99
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 754586
zbMATH Keywords: truncated Walsh series
zbMATH Keywords: approximation
zbMATH Keywords: a priori error estimates
reviewed by: Lothar Berg
MaRDI profile type: Publication
full work available at URL: 0016-0032(94)90100-7
OpenAlex ID: W2082786130
cites work: Walsh series with coefficients tending monotonically to zero
cites work: On the Walsh Functions
cites work: CESARO SUMMABILITY OF WALSH-FOURIER SERIES
cites work: Fourier-Stieltjes Series of Walsh Functions
cites work: A Remarkable Series of Orthogonal Functions (I)
cites work: A Remarkable Series of Orthogonal Functions (II)
cites work: On Walsh-Fourier Series
cites work: Contraction of Walsh Fourier Series
cites work: Mean convergence of Walsh Fourier series
cites work: On decomposition of Walsh Fourier series
cites work: On Walsh-Fourier series
cites work: On Approximation by Walsh Functions
cites work: Cesàro summability of Walsh-Fourier series
cites work: Q3999467
cites work: Q3997391
cites work: Q3671873
cites work: A Walsh series direct method for solving variational problems
cites work: Q3028253
cites work: A pseudospectral Walsh function method
cites work: Q3706042
cites work: Q4214926
description: scientific article; zbMATH DE number 754586