Closed-form error estimates for the numerical solution of Fredholm integral equations of the second kind (Q1001609)
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scientific article; zbMATH DE number 5509277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closed-form error estimates for the numerical solution of Fredholm integral equations of the second kind |
scientific article; zbMATH DE number 5509277 |
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Closed-form error estimates for the numerical solution of Fredholm integral equations of the second kind (English)
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19 February 2009
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The authors investigate the following two main problems (1) closed-form algebraic formulae for the local error incurred in the numerical solution of integral equations for a class, and (2) the discrepancy between theoretically predicted error and the actual numerical error under suitable conditions by using iterated collocation methods and the approximation of the finite-rank degenerate kernel.
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closed-form algebraic formulae
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Fredholm integral equation
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iterated collocation approximation
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Cauchy-Schwarz inequality
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non-degenerate kernel
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Gaussian quadrature
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error estimates
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