Multiwavelet approximation methods for pseudodifferential equations on curves. Stability and convergence analysis
type: Item
instance of: scholarly article
title: Multiwavelet approximation methods for pseudodifferential equations on curves. Stability and convergence analysis
zbMATH Open document ID: 0946.65147
DOI: 10.1023/A:1018977120831
author: Siegfried Prössdorf
author: Jörg Schult
published in: Advances in Computational Mathematics
publication date: 2000-09-07T00:00:00Z
review text: The authors develop stability and convergence analysis of Galerkin-Petrov schemes for solving pseudo differential equations on smooth curves. Particular examples are given by trial spaces generated by biorthogonal wavelets or by splines with multiple knots. The main result is to demonstrate stability and convergence, in particular optimal convergence rates for approximate solutions in a range of Sobolev spaces.
reviewed by: Douglas Quinney
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 1279280
zbMATH Keywords: boundary element methods
zbMATH Keywords: error analysis
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: Galerkin-Petrov schemes
zbMATH Keywords: pseudo differential equations
zbMATH Keywords: biorthogonal wavelets
zbMATH Keywords: splines
MaRDI profile type: Publication
full work available at URL: a:1018977120831
OpenAlex ID: W2297218356
description: scientific article; zbMATH DE number 1279280