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- W2064041688 abstract "The aim of the paper is to modify the classical midpoint, trapezoidal and Simpson's rules for the calculation of Cauchy principal value integrals so as to recover their theoretical order of convergence from the non-singular case. We address also the problem of detecting the type of endpoint singularity when this is not known a priori. We devise a very simple scheme for this, and exploit it to reestablish the full rate of convergence for the proposed algorithm." @default.
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- W2064041688 title "Low-order methods for Cauchy principal value integrals with endpoint singularities" @default.
- W2064041688 doi "https://doi.org/10.1093/imanum/14.2.295" @default.
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