Some quadrature formulae using the derivatives of the integrand are discussed. As special cases are obtained generalizations of both the ordinary and the modified Romberg algorithms. In all cases the error terms are expressed in terms of Bernoulli polynomials and functions
This bachelor thesis focuses on numerical calculation of a simple specific integral. First, the basi...
Available from British Library Document Supply Centre-DSC:DXN050905 / BLDSC - British Library Docume...
AbstractUsing quadrature formulas on the semicircle of Gauss-Christoffel type and an integral repres...
Summary. We present a new technique for the numerical integration over R, a square or triangle, of a...
In this research, some new and efficient quadrature rules are proposed involving the combination of ...
ABSTRACT Quadrature formulae or rules are used in the approximate evaluation of Integrals. This is a...
Most of this work deals with refined interpolatory quadrature formulae. The first part is focused on...
A novel approach to deriving a family of quadrature formulae is presented. The first member of the n...
With the advent of the modern high speed electronic digital computers, the Numerical Integration hav...
The term numerical integration covers several different tasks, including numerical evaluation of int...
This paper reviews current quadrature methods for approximate calculation of integrals within S-Plus...
Some new methods for performing numerical quadrature of an integrable function over a finite interva...
Romberg's quadrature is investigated with special emphasis on its use in automatic integration. Se...
Romberg's quadrature is investigated with special emphasis on its use in automatic integration. Se...
AbstractTheoretical error estimates for quadrature rules involve quantities that are usually difficu...
This bachelor thesis focuses on numerical calculation of a simple specific integral. First, the basi...
Available from British Library Document Supply Centre-DSC:DXN050905 / BLDSC - British Library Docume...
AbstractUsing quadrature formulas on the semicircle of Gauss-Christoffel type and an integral repres...
Summary. We present a new technique for the numerical integration over R, a square or triangle, of a...
In this research, some new and efficient quadrature rules are proposed involving the combination of ...
ABSTRACT Quadrature formulae or rules are used in the approximate evaluation of Integrals. This is a...
Most of this work deals with refined interpolatory quadrature formulae. The first part is focused on...
A novel approach to deriving a family of quadrature formulae is presented. The first member of the n...
With the advent of the modern high speed electronic digital computers, the Numerical Integration hav...
The term numerical integration covers several different tasks, including numerical evaluation of int...
This paper reviews current quadrature methods for approximate calculation of integrals within S-Plus...
Some new methods for performing numerical quadrature of an integrable function over a finite interva...
Romberg's quadrature is investigated with special emphasis on its use in automatic integration. Se...
Romberg's quadrature is investigated with special emphasis on its use in automatic integration. Se...
AbstractTheoretical error estimates for quadrature rules involve quantities that are usually difficu...
This bachelor thesis focuses on numerical calculation of a simple specific integral. First, the basi...
Available from British Library Document Supply Centre-DSC:DXN050905 / BLDSC - British Library Docume...
AbstractUsing quadrature formulas on the semicircle of Gauss-Christoffel type and an integral repres...