Justification of the quadrature method for nonlinear integral equations (Q1571200)
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scientific article; zbMATH DE number 1472938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Justification of the quadrature method for nonlinear integral equations |
scientific article; zbMATH DE number 1472938 |
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Justification of the quadrature method for nonlinear integral equations (English)
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26 June 2001
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A simple justification is proposed of the quadrature method for solving nonlinear integral equations with smooth integrands. The justification is based on the idea of the transition from \(C\)-norms to stronger norms. The use of the standard implicit function theorem makes it possible to obtain easily very precise results for a variety of classes of equations and quadrature rules.
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nonlinear integral equations
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quadrature method
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convergence
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