Collocation and continuous implicit Runge-Kutta methods for a class of delay Volterra integral equations (Q1343648)
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scientific article; zbMATH DE number 714145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Collocation and continuous implicit Runge-Kutta methods for a class of delay Volterra integral equations |
scientific article; zbMATH DE number 714145 |
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Collocation and continuous implicit Runge-Kutta methods for a class of delay Volterra integral equations (English)
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15 August 1995
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For the numerical integration of Volterra integral equations (2nd kind) with constant delay the author considers collocation-based Volterra-Runge Kutta methods. Global \({\mathcal O}(h^ m)\)-convergence of the collocation solution is proved (\(m\) denotes the number of collocation points).
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convergence
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Volterra integral equations
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constant delay
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Volterra-Runge Kutta methods
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collocation
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