Numerical stability analysis of numerical methods for Volterra integral equations with delay argument (Q1894926)

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scientific article; zbMATH DE number 779189
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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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