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A simplification to Fredholm's solution to the Fredholm integral equation of the second kind - MaRDI portal

A simplification to Fredholm's solution to the Fredholm integral equation of the second kind (Q2383614)

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A simplification to Fredholm's solution to the Fredholm integral equation of the second kind
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    A simplification to Fredholm's solution to the Fredholm integral equation of the second kind (English)
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    19 September 2007
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    The authors provide a simplification of the solution of a Fredholm integral equation of the second kind in terms of a ratio of determinants. Combinatorial arguments allow a major simplification of Fredholm's solution formula, economizing in particular on the number of multiple integrals to evaluate. Numerical results are provided to illustrate the efficiency of the simplification.
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    combinatoric applications
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    numerical results
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