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.

Finite elements methods for solving viscoelastic thin plates

Helena Růžičková, Alexander Ženíšek (1984)

Aplikace matematiky

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The present paper deals with numerical solution of a viscoelastic plate. The discrete problem is defined by C 1 -elements and a linear multistep method. The effect of numerical integration is studied as well. The rate of cnvergence is established. Some examples are given in the conclusion.

Laguerre polynomials in the inversion of Mellin transform

George J. Tsamasphyros, Pericles S. Theocaris (1981)

Aplikace matematiky

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In order to use the well known representation of the Mellin transform as a combination of two Laplace transforms, the inverse function g ( r ) is represented as an expansion of Laguerre polynomials with respect to the variable t = l n r . The Mellin transform of the series can be written as a Laurent series. Consequently, the coefficients of the numerical inversion procedure can be estimated. The discrete least squares approximation gives another determination of the coefficients of the series expansion....