Fast non-polynomial interpolation and integration for functions with logarithmic singularities
Journal of Computational and Applied Mathematics(2018)
摘要
A fast non-polynomial interpolation is proposed in this paper for functions with logarithmic singularities. It can be executed fast with the discrete cosine transform. Based on this interpolation, a new quadrature is proposed for a kind of logarithmically singular integrals. The interpolation and integration errors are also analyzed. Numerical examples of the interpolation and integration are shown to validate the efficiency of the proposed new interpolation and the new quadrature.
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关键词
Non-polynomial interpolation,Logarithmic singularity,Singular integral
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