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Error analysis for a class of degenerate-kernel methods

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Summary

Convergence theorems are proved for a recently proposed class of degenerate-kernel methods for the numerical solution of Fredholm integral equations of the second kind. In particular, it is shown that the simplest of these methods has a faster rate of convergence than the simple method of moments, or Galerkin method, even though its computational requirements are almost identical.

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References

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  1. Dept. of Applied Mathematics, Univ. of New South Wales, Kensington, N.S.W., Australia

    Ian H. Sloan

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  1. Ian H. Sloan
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Sloan, I.H. Error analysis for a class of degenerate-kernel methods. Numer. Math. 25, 231–238 (1975). https://doi.org/10.1007/BF01399412

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  • DOI: https://doi.org/10.1007/BF01399412

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