A wavelet method for the first kind integral equations with kernel \(k(x-y)\) (Q1282132)
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scientific article; zbMATH DE number 1269912
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A wavelet method for the first kind integral equations with kernel \(k(x-y)\) |
scientific article; zbMATH DE number 1269912 |
Statements
A wavelet method for the first kind integral equations with kernel \(k(x-y)\) (English)
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2 November 1999
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The authors consider an application of the wavelet method to a first kind integral equation. This integral equation is discretized with respect to two different orthonormal wavelet bases \(B_1\) and \(B_2\). By the discretization on a finite interval two different linear systems are obtained. One of them is a Toeplitz system and the other one is a system with condition number \(k= O(1)\) after a diagonal scaling.
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wavelet method
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first kind integral equation
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Toeplitz system
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condition number
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scaling
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