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Neutralizing nearby singularities in numerical quadrature

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Abstract

A method of “neutralization” is presented that significantly weakens, if not eliminates, a singularity close to, but outside, the interval of integration. The effectiveness of the method is illustrated by a number of examples.

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References

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Correspondence to Walter Gautschi.

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Gautschi, W. Neutralizing nearby singularities in numerical quadrature. Numer Algor 64, 417–425 (2013). https://doi.org/10.1007/s11075-012-9672-9

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  • DOI: https://doi.org/10.1007/s11075-012-9672-9

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Mathematics Subject Classification (2010)