Title of article
A Multilevel Method for Solving Operator Equations1
Author/Authors
Zhongying Chen2، نويسنده , , Charles A. Micchelli، نويسنده , , Lixin Shen and Yuesheng Xu، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2001
Pages
12
From page
688
To page
699
Abstract
We develop a multilevel method suitable for solving operator equations. This
method combines the multiresolution structure of the spaces used to solve the operator
equation with a Gauss–Seidel strategy to solve the associated matrix equations.
We prove that this multilevel scheme has an optimal order of convergence and provide
an application of it to the solution of second kind integral equations
Keywords
a Gauss–Seidel strategy , multiresolutions , Operator equations , Multilevel methods , wavelets
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2001
Journal title
Journal of Mathematical Analysis and Applications
Record number
933326
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