Add to ORKGRecently Laurie presented a fast algorithm for the computation of (2n + 1)-point Gauss-Kronrod quadrature rules with real nodes and positive weights. We describe modifications of this algorithm that allow the computation of Gauss-Kronrod quadrature rules with complex conjugate nodes and weights or with real nodes and positive and negative weights
We describe a strategy for rigorous arbitrary-precision evaluation of Legendre polynomials on the un...
A novel mathematical framework is derived for the addition of nodes to univariate and interpolatory ...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
AMS subject classifications. 65D32, 65F15, 65F18. Abstract. Recently Laurie presented a fast algorit...
An efficient algorithm for the accurate computation of Gauss–Legendre and Gauss–Jacobi quadrature no...
AbstractWe study the Kronrod extensions of Gaussian quadrature rules whose weight functions on [−1, ...
Gauss quadrature points are not nested so search for quadrature rules with nested points and similar...
For the practical estimation of the error of Gauss quadrature rules Gauss-Kronrod rules are widely u...
In this paper, we consider the symmetric Gaussian and L-Gaussian quadrature rules associated with tw...
Modified Stieltjes polynomials are defined and used to construct suboptimal extensions of Gaussian r...
Abstract. We study Gauss-Kronrod quadrature formula for Hermite weight function for the particular c...
AbstractWe present a numerical algorithm for the construction of efficient, high-order quadratures i...
A new algorithm for constructing quadrature formulas with multiple Gaussian nodes in the presence o...
Abstract. An anti-Gaussian quadrature formula is an (n + 1)-point formula of degree 2n − 1 which int...
Methods for the computation of classical Gaussian quadrature rules are described which are effective...
We describe a strategy for rigorous arbitrary-precision evaluation of Legendre polynomials on the un...
A novel mathematical framework is derived for the addition of nodes to univariate and interpolatory ...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
AMS subject classifications. 65D32, 65F15, 65F18. Abstract. Recently Laurie presented a fast algorit...
An efficient algorithm for the accurate computation of Gauss–Legendre and Gauss–Jacobi quadrature no...
AbstractWe study the Kronrod extensions of Gaussian quadrature rules whose weight functions on [−1, ...
Gauss quadrature points are not nested so search for quadrature rules with nested points and similar...
For the practical estimation of the error of Gauss quadrature rules Gauss-Kronrod rules are widely u...
In this paper, we consider the symmetric Gaussian and L-Gaussian quadrature rules associated with tw...
Modified Stieltjes polynomials are defined and used to construct suboptimal extensions of Gaussian r...
Abstract. We study Gauss-Kronrod quadrature formula for Hermite weight function for the particular c...
AbstractWe present a numerical algorithm for the construction of efficient, high-order quadratures i...
A new algorithm for constructing quadrature formulas with multiple Gaussian nodes in the presence o...
Abstract. An anti-Gaussian quadrature formula is an (n + 1)-point formula of degree 2n − 1 which int...
Methods for the computation of classical Gaussian quadrature rules are described which are effective...
We describe a strategy for rigorous arbitrary-precision evaluation of Legendre polynomials on the un...
A novel mathematical framework is derived for the addition of nodes to univariate and interpolatory ...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...