The average case complexity of the Fredholm equation of second kind with free term in \(H^ r(\Gamma)\) (Q1917153)
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scientific article; zbMATH DE number 897170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The average case complexity of the Fredholm equation of second kind with free term in \(H^ r(\Gamma)\) |
scientific article; zbMATH DE number 897170 |
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The average case complexity of the Fredholm equation of second kind with free term in \(H^ r(\Gamma)\) (English)
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11 March 1997
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This paper deals with the approximate solution of a Fredholm integral equation of the second kind with free term in a periodic Sobolev space. For \(\varepsilon > 0\), the average problem complexity is defined as the cost of solving the problem with average error not exceeding \(\varepsilon\). The estimates of the average case \(\varepsilon\)-complexity of the Fredholm problem of the second kind and for the Galerkin method are given.
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Fredholm integral equation of the second kind
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periodic Sobolev space
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average problem complexity
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Galerkin method
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