Anti-Gaussian quadrature formulas
Mathematics of Computation
Calculation of Gauss-Kronrod quadrature rules
Mathematics of Computation
The symmetric eigenvalue problem
The symmetric eigenvalue problem
Stratified nested and related quadrature rules
Journal of Computational and Applied Mathematics - Numerical evaluation of integrals
Ultraspherical Gauss--Kronrod Quadrature Is Not Possible for $\lambda 3$
SIAM Journal on Numerical Analysis
Computation of Gauss-Kronrod of quadrature rules
Mathematics of Computation
Stopping functionals for Gaussian quadrature formulas
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
On numerical computation of integrals with integrands of the form f(x)sin(w/xr) on [0, 1]
Journal of Computational and Applied Mathematics
Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity
Applied Numerical Mathematics
Error estimates of anti-Gaussian quadrature formulae
Journal of Computational and Applied Mathematics
| Hi-index | 0.00 |
For the practical estimation of the error of Gauss quadrature rules, Gauss-Kronrod formulas are widely used; but, for the Gegenbauer measure, d@m^C=(1-x^2)^@a^-^1^/^2dx, real positive Gauss-Kronrod formulas do not exist for @a3 and n sufficiently large. Among the alternatives which are available in the literature, Gauss-Lobatto and anti-Gauss formulas are of particular interest. In this paper, using the modified anti-Gauss formulas introduced by Ehrich, we determine the degree optimal stratified extensions of Gauss-Gegenbauer formulas, and we investigate their properties.