Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations (Q1057636)
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scientific article; zbMATH DE number 3898178
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations |
scientific article; zbMATH DE number 3898178 |
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Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations (English)
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1986
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An existence and uniqueness result is given for nonlinear Volterra integral equations of the first kind. This permits, by means of analogous discrete manipulations, a general convergence analysis for a wide class of discretization methods for nonlinear first kind Volterra integral equations to be presented. A concept of optimal consistency allows two- sided error bounds to be derived.
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nonlinear Volterra integral equations of the first kind
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convergence
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optimal consistency
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two-sided error bounds
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