Procedures for numerical evaluation of integrals have been devised but rela-tively few methods of obtaining error estimates are available. Among the authors who have previously considered this problem are yon MIsEs [1], SARD [2] and AHLIN [12]. With minor exceptions the procedure of these authors is to expres
In the present paper we consider hypersingular integrals of the following type (Formula presented) w...
In their paper published in 1952, Hestenes and Stiefel considered the conjugate gradient (CG) method...
For the numerical approximation of Cauchy principal value integrals, we consider so-called modified ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46326/1/211_2005_Article_BF02162084.pd
A theoretical error estimate for quadrature formulas, which depends on four approximations of the in...
We study the error of Gauss-Turan quadrature formulae when functions which are analytic on a neighbo...
Abstract: An account of the error and the convergence theory is given for Gauss-Laguerre and Gauss-R...
AbstractTheoretical error estimates for quadrature rules involve quantities that are usually difficu...
Numerical integration is an operation that is frequently available in multiple precision numerical s...
AbstractWe describe methods for the numerical calculation of integrals with verified error bounds. T...
In this paper we present an extension of our previous research, focusing on a method to numerically ...
In this research, some new and efficient quadrature rules are proposed involving the combination of ...
AbstractWe consider the remainder term of the Gauss–Turán quadrature formulaeRn,s(f)=∫-11w(t)f(t)dt-...
We compare the accuracy of numerical integral methods like Newton-Cotes method and Gaussian Quadratu...
The influence of small perturbations in the kernel and the right-hand side of boundary integral equa...
In the present paper we consider hypersingular integrals of the following type (Formula presented) w...
In their paper published in 1952, Hestenes and Stiefel considered the conjugate gradient (CG) method...
For the numerical approximation of Cauchy principal value integrals, we consider so-called modified ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46326/1/211_2005_Article_BF02162084.pd
A theoretical error estimate for quadrature formulas, which depends on four approximations of the in...
We study the error of Gauss-Turan quadrature formulae when functions which are analytic on a neighbo...
Abstract: An account of the error and the convergence theory is given for Gauss-Laguerre and Gauss-R...
AbstractTheoretical error estimates for quadrature rules involve quantities that are usually difficu...
Numerical integration is an operation that is frequently available in multiple precision numerical s...
AbstractWe describe methods for the numerical calculation of integrals with verified error bounds. T...
In this paper we present an extension of our previous research, focusing on a method to numerically ...
In this research, some new and efficient quadrature rules are proposed involving the combination of ...
AbstractWe consider the remainder term of the Gauss–Turán quadrature formulaeRn,s(f)=∫-11w(t)f(t)dt-...
We compare the accuracy of numerical integral methods like Newton-Cotes method and Gaussian Quadratu...
The influence of small perturbations in the kernel and the right-hand side of boundary integral equa...
In the present paper we consider hypersingular integrals of the following type (Formula presented) w...
In their paper published in 1952, Hestenes and Stiefel considered the conjugate gradient (CG) method...
For the numerical approximation of Cauchy principal value integrals, we consider so-called modified ...
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