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Error bounds for the solution of Volterra and delay equations - MaRDI portal

Error bounds for the solution of Volterra and delay equations (Q1189137)

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scientific article; zbMATH DE number 54674
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Error bounds for the solution of Volterra and delay equations
scientific article; zbMATH DE number 54674

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    Error bounds for the solution of Volterra and delay equations (English)
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    26 September 1992
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    The construction of efficient and reliable numerical software requires a theory for two distinct issues: a convergence analysis and a way of bounding the error in the computed results. While the first of these questions has received much attention, less is known about the second one. The authors describe a method for bounding the error in the solution of Fredholm integral equations and show how the approach can be extended to Volterra and delay equations.
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    error bounds
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    Volterra equations
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    efficient and reliable numerical software
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    convergence analysis
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    linear operator
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    normed spaces
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    Fredholm integral equations
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    delay equations
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