The \(h-p\)-version of spline approximation methods for Mellin convolution equations
type: Item
instance of: scholarly article
title: The \(h-p\)-version of spline approximation methods for Mellin convolution equations
zbMATH Open document ID: 0781.65103
published in: Journal of Integral Equations and Applications
publication date: 1993-01-01T00:00:00Z
review text: The author gives the \(h\)-\(p\)-version of those approximation methods which are obtained if one simultaneously refines the mesh and increases the degree of the splines through the numerical solution of Mellin convolution equations.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 205194
zbMATH Keywords: weighted Sobolev space
zbMATH Keywords: spline approximation methods
zbMATH Keywords: \(h\)-\(p\)-version
zbMATH Keywords: Mellin convolution equations
author: Johannes Elschner
reviewed by: Chuangan Hu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/jiea/1181075727
OpenAlex ID: W2074655580
cites work: Q3694636
cites work: On the exponential convergence of theh-p version for boundary element Galerkin methods on polygons
cites work: The p- and h-p versions of the finite element method. An overview
cites work: Product Integration-Collocation Methods for Noncompact Integral Operator Equations
cites work: Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type
cites work: On spline collocation for convolution equations
cites work: On Spline Approximation for a Class of Non‐Compact Integral Equations
cites work: Q4765087
cites work: High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
cites work: The h-p version of the finite element method. I. The basic approximation results
cites work: Q5650526
cites work: Q5849933
cites work: Numerical analysis for integral and related operator equations.
cites work: Q3895980
cites work: The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
DOI: 10.1216/JIEA/1181075727
Recommended article: Q3827534
Recommended article: Q3728576
Recommended article: Q3822649
Recommended article: On the Exponential Convergence of Spline Approximation Methods for Wiener-Hopf Equations
Recommended article: On spline collocation for convolution equations
Recommended article: Spline approximation methods for multidimensional periodic pseudodifferential equations
Recommended article: On Spline Approximation for a Class of Non‐Compact Integral Equations
Recommended article: Q4883998
Recommended article: Spline approximation methods with uniform meshes in algebras of multiplication and convolution operators
description: scientific article; zbMATH DE number 205194