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Dissipativity of one-leg methods for neutral delay integro-differential equations - MaRDI portal

Dissipativity of one-leg methods for neutral delay integro-differential equations (Q711240)

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scientific article; zbMATH DE number 5804875
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Dissipativity of one-leg methods for neutral delay integro-differential equations
scientific article; zbMATH DE number 5804875

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    Dissipativity of one-leg methods for neutral delay integro-differential equations (English)
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    25 October 2010
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    The authors study the dissipativity of one-leg methods for neutral delay integro-differential equations. They first present a description of the problem class and numerical methods. Later the numerical dissipativity results for one-leg methods are established and some special cases of several dissipativity results for Volterra functional differential equations and neutral delay integro differential equations are presented. A numerical example is given to illustrate the theory presented.
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    neutral delay integro-differential equations
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    dynamical systems
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    dissipativity
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    one-leg methods
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    \(G\)-stability
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    numerical stability
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    Volterra functional differential equations
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    numerical example
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