Numerical stability analysis of numerical methods for Volterra integral equations with delay argument (Q1894926)
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scientific article; zbMATH DE number 779189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical stability analysis of numerical methods for Volterra integral equations with delay argument |
scientific article; zbMATH DE number 779189 |
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Numerical stability analysis of numerical methods for Volterra integral equations with delay argument (English)
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26 July 1995
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The stability of \((\rho, \sigma)\)-reducible quadrature methods, applied to the test equation \(y(t)= y_0+ \int^t_0 (py(s)+ qy(s- \tau))ds\), is studied. The results are closely related to stability investigations of linear multistep methods for the delay equation \(y'(t)= py(t)+ qy(t- \tau)\).
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Volterra integral equations with delay argument
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reducible quadrature methods
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stability
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linear multistep methods
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delay equation
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