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RESEARCH PRODUCT

An analysis of Ralston's quadrature

Claus Schneider

subject

Computational Mathematicssymbols.namesakeApplied MathematicsGaussianNumerical analysissymbolsApplied mathematicsRemainderAlgorithmGauss–Kronrod quadrature formulaMathematicsQuadrature (mathematics)

description

Ralston's quadrature achieves higher accuracy in composite rules than analogous Newton-Cotes or Gaussian formulas. His rules are analyzed, computable expressions for the weights and knots are given, and a more suitable form of the remainder is derived.

https://doi.org/10.1007/bf01400894