A new refinement wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems (Q2836531)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A new refinement wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems |
scientific article; zbMATH DE number 6183416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new refinement wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems |
scientific article; zbMATH DE number 6183416 |
Statements
3 July 2013
0 references
\(B\)-spline functions
0 references
second-order boundary problems
0 references
multiresolution analysis
0 references
wavelet-Galerkin method
0 references
error estimator
0 references
numerical examples
0 references
0 references
0 references
0 references
A new refinement wavelet-Galerkin method in a spline local multiresolution analysis scheme for boundary value problems (English)
0 references
A wavelet-Galerkin method using scaling functions as basis functions for a second-order linear differential operator is introduced. A multiresolution structure on the interval is defined and provides a more efficient and cost-effective way to improve the approximate solution obtained at an initial scale. Based on the norm of increment coefficients, local error estimators are presented. Three numerical examples are described and analyzed.
0 references
