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Displaying similar documents to “Recurrent evaluation of integrals of the type ∫ 0 1 x α sin 2 π p x d x , ∫ 0 1 x α cos 2 π p x d x with respect to numerical stability”

Numerical integration with highly oscillating weight functions

Jozef Mikloško (1970)

Aplikace matematiky

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The paper describes a new numerical method for the computation of integrals with the weight function exp ( i k x ) , k integer, which can be used for improper and multiple integrals. The compound rules of this method use parameters, of weighted quadratures of Gauss type which are tabulated for various k . The using of the method especially for high k is demonstrated by numerical experiments.

Acceleration properties of the hybrid procedure for solving linear systems

Anna Abkowicz, Claude Brezinski (1996)

Applicationes Mathematicae

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The aim of this paper is to discuss the acceleration properties of the hybrid procedure for solving a system of linear equations. These properties are studied in a general case and in two particular cases which are illustrated by numerical examples.