In this paper, quadrature formulas on the real line with the highest degree of accuracy, with positive weights, and with one or two prescribed nodes anywhere on the interval of integration are characterized. As an application, the same kind of rules but with one or both (finite) endpoints being fixed nodes and one or two more prescribed nodes inside the interval of integration are derived. An efficient computation of such quadrature formulas is analyzed by considering certain modified Jacobi matrices. Some numerical experiments are finally presented.nrpages: 32status: publishe
Terative methods with certified convergence for the computation of Gauss-Jacobi quadratures are desc...
AbstractWe present a method based on the Chakalov–Popoviciu quadrature formula of Lobatto type, a ra...
Methods for the computation of classical Gaussian quadrature rules are described which are effective...
Abstract. In this paper, quadrature formulas on the real line with the highest degree of accuracy, w...
A new algorithm for constructing quadrature formulas with multiple Gaussian nodes in the presence o...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
Abstract: To compute integrals on bounded or unbounded intervals we propose a new numerical approach...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
When dealing with the approximate calculation of weighted integral over a finite interval [a,b], Gau...
An efficient algorithm for the accurate computation of Gauss–Legendre and Gauss–Jacobi quadrature no...
An efficient algorithm for the accurate computation of Gauss–Legendre and Gauss–Jacobi quadrature no...
Abstract. We consider Gauss-Christoffel-Stancu quadrature rules, over the interval [−1, 1], using m ...
© 2014 Elsevier B.V. All rights reserved. In this paper we give a survey of some results concerning ...
Terative methods with certified convergence for the computation of Gauss-Jacobi quadratures are desc...
AbstractWe present a method based on the Chakalov–Popoviciu quadrature formula of Lobatto type, a ra...
Methods for the computation of classical Gaussian quadrature rules are described which are effective...
Abstract. In this paper, quadrature formulas on the real line with the highest degree of accuracy, w...
A new algorithm for constructing quadrature formulas with multiple Gaussian nodes in the presence o...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
Abstract: To compute integrals on bounded or unbounded intervals we propose a new numerical approach...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
To compute integrals on bounded or unbounded intervals we propose a new numerical approach by using ...
When dealing with the approximate calculation of weighted integral over a finite interval [a,b], Gau...
An efficient algorithm for the accurate computation of Gauss–Legendre and Gauss–Jacobi quadrature no...
An efficient algorithm for the accurate computation of Gauss–Legendre and Gauss–Jacobi quadrature no...
Abstract. We consider Gauss-Christoffel-Stancu quadrature rules, over the interval [−1, 1], using m ...
© 2014 Elsevier B.V. All rights reserved. In this paper we give a survey of some results concerning ...
Terative methods with certified convergence for the computation of Gauss-Jacobi quadratures are desc...
AbstractWe present a method based on the Chakalov–Popoviciu quadrature formula of Lobatto type, a ra...
Methods for the computation of classical Gaussian quadrature rules are described which are effective...