Title
A New Refinement Wavelet-Galerkin Method In A Spline Local Multiresolution Analysis Scheme For Boundary Value Problems
Abstract
In this work, a new Wavelet-Galerkin method for boundary value problems is presented. It improves the approximation in terms of scaling functions obtained through a collocation scheme combined with variational equations. A B-spline multiresolution structure on the interval is designed in order to refine the solution recursively and efficiently using wavelets. Numerical examples are given to verify good convergence properties of the proposed method.
Year
DOI
Venue
2013
10.1142/S021969131350015X
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING
Keywords
DocType
Volume
B-spline functions, second order boundary problems, wavelets, multiresolution analysis, Wavelet-Galerkin
Journal
11
Issue
ISSN
Citations 
2
0219-6913
1
PageRank 
References 
Authors
0.43
2
3
Name
Order
Citations
PageRank
Victoria Vampa141.38
María Teresa Martín272.63
Eduardo Serrano3469.46