Titlebook: Numerical Integration; Recent Developments, Terje O. Espelid,Alan Genz Book 1992 Springer Science+Business Media Dordrecht 1992 Numerical i

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One Sided L1-Approximation and Bounds for Peano Kernelsm of a Peano kernel at a certain point, are determined explicitly. In the final section, asymptotic bounds on Peano kernels, and hence asymptotic error constants in one sided approximation, are derived from the asymptotic estimates for the Peano kernels of the corresponding extremal formulae.

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On Handling Singularities in Finite Elementsturns out to be a disaster, I discuss some of the advantages and disadvantages of using rules based on extrapolation either as an alternative to, or in conjunction with Gaussian rules. This article is anecdotal in character.

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A Robust Numerical Integration Method for 3-D Boundary Element Analysis and Its Error Analysis usinglatter is shown to be robust and efficient by numerical experiments. Theoretical error estimates are also derived using complex function theory and are shown to correspond well with the numerical results.

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