Titlebook: Numerical Integration; Proceedings of the C G. H?mmerlin Conference proceedings 1982 Springer Basel AG 1982

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Quadraturrest, Approximation und Chebyshev-Polynome,es and to use more robust methods. One can consider series expansions (Hilbert space, holomorphy). But there are simpler methods, employing polynomials, approximation, grids. In connection with quadrature such methods have been worked out by several authors; we mention Stroud, Locher-Zeller, Riess-J

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Some Reflections on the Euler-Maclaurin Sum Formula,that paper the classical Euler-Maclaurin formula was analysed and generalized to give a variety of quadrature formulae in both one and more than one dimension. In the present contribution a similar approach will be made to investigate . formulae. Due to restrictions on space only the one dimensional

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A Note on Cubature over a Triangle of a Function Having Specified Singularities,r. where r is the distance of (x,y) from C and x is the distance of (x,y) from AB. In particular we show how to construct rules which are exact for integrand functions p.(x,y)h.(r) where p. and h. are polynomials of degree λ and μ, respectively.

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