summary:The paper describes a new numerical method for the computation of integrals with the weight function exp$(ikx)$, $k$ 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
Oscillatory integrals such as Fourier transforms arise in many fields of sciences and engineering. E...
AbstractTo evaluate the class of integrals ∫1−1e−αxƒ(x) dx, where R† and the function f(x) is known ...
This paper reviews current quadrature methods for approximate calculation of integrals within S-Plus...
summary:The paper describes a new numerical method for the computation of integrals with the weight ...
AbstractNumerical methods for strongly oscillatory and singular functions are given in this paper. B...
Various types of quadrature formulae for oscillatory integrals are studied with a view to improving ...
The research is concerned with the proposal and the development of a general method for computing ra...
AbstractIn this paper we consider polynomials orthogonal with respect to an oscillatory weight funct...
AbstractWith existing numerical integration methods and algorithms it is difficult in general to obt...
In this thesis, we examine the main types of numerical quadrature methods for a special subclass of ...
summary:The paper is concerned with the efficient evaluation of the integral $\int^\infty_0 f(x)J_n(...
We construct and analyze Gauss-type quadrature rules with complex- valued nodes and weights to appro...
We consider the Gauss formula for an integral, integral (1)(-1) y(x) dx approximate to Sigma (N)(k=1...
AbstractThis paper presents a new efficient parameter method for integration of the highly oscillato...
When dealing with the approximate calculation of weighted integral over a finite interval [a,b], Gau...
Oscillatory integrals such as Fourier transforms arise in many fields of sciences and engineering. E...
AbstractTo evaluate the class of integrals ∫1−1e−αxƒ(x) dx, where R† and the function f(x) is known ...
This paper reviews current quadrature methods for approximate calculation of integrals within S-Plus...
summary:The paper describes a new numerical method for the computation of integrals with the weight ...
AbstractNumerical methods for strongly oscillatory and singular functions are given in this paper. B...
Various types of quadrature formulae for oscillatory integrals are studied with a view to improving ...
The research is concerned with the proposal and the development of a general method for computing ra...
AbstractIn this paper we consider polynomials orthogonal with respect to an oscillatory weight funct...
AbstractWith existing numerical integration methods and algorithms it is difficult in general to obt...
In this thesis, we examine the main types of numerical quadrature methods for a special subclass of ...
summary:The paper is concerned with the efficient evaluation of the integral $\int^\infty_0 f(x)J_n(...
We construct and analyze Gauss-type quadrature rules with complex- valued nodes and weights to appro...
We consider the Gauss formula for an integral, integral (1)(-1) y(x) dx approximate to Sigma (N)(k=1...
AbstractThis paper presents a new efficient parameter method for integration of the highly oscillato...
When dealing with the approximate calculation of weighted integral over a finite interval [a,b], Gau...
Oscillatory integrals such as Fourier transforms arise in many fields of sciences and engineering. E...
AbstractTo evaluate the class of integrals ∫1−1e−αxƒ(x) dx, where R† and the function f(x) is known ...
This paper reviews current quadrature methods for approximate calculation of integrals within S-Plus...
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