Numerical integration with highly oscillating weight functions

Jozef Mikloško

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Numerical integration with weight functions $cos k x$ , $sin k x$ on $[0, 2 π / t]$ , $t = 1, 2, \dots$

Jozef Mikloško (1969)

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The paper describes a numerical method for computation of integrals with weight functions cos $k x$ , sin $k x$ ( $k$ -integer), and its convergence and the estimation of the remainder is investigated. Some weight coefficients of these formulae are tabulated and their application is demonstrated by numerical experiments.

Polynomial approximation and the quadrature problem over a semi-infinite interval

Nirmal Kumar Basu, Madhav Chandra Kundu (1975)

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Some methods of numerical integration over a semi-infinite interval

Nirmal Kumar Basu, Madhav Chandra Kundu (1977)

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Recurrent evaluation of integrals of the type $\int_{0}^{1} x^{α} sin 2 π p x d x$ , $\int_{0}^{1} x^{α} cos 2 π p x d x$ with respect to numerical stability

František Chvála (1975)

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Displaying similar documents to “Numerical integration with highly oscillating weight functions”

Numerical integration with weight functions cos k x , sin k x on [ 0 , 2 π / t ] , t = 1 , 2 , ⋯

Polynomial approximation and the quadrature problem over a semi-infinite interval

Some methods of numerical integration over a semi-infinite interval

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 weight functions $cos k x$ , $sin k x$ on $[0, 2 π / t]$ , $t = 1, 2, \dots$

Recurrent evaluation of integrals of the type $\int_{0}^{1} x^{α} sin 2 π p x d x$ , $\int_{0}^{1} x^{α} cos 2 π p x d x$ with respect to numerical stability