Abstract. In the course of their work on Salem numbers and uniform distribution modulo 1, A. Akiyama and Y. Tanigawa proved some inequalities concerning the values of the Bessel fu...
We extend Clenshaw-Curtis quadrature to the square in a nontensorial way, by using Sloan's hyperinterpolation theory and two families of points recently studied in the framew...
Alvise Sommariva, Marco Vianello, Renato Zanovello
We treat the evaluation of a fixed-amplitude variable-phase integral of the form b a exp[ikG(x)]dx, where G (x) 0 and has moderate differentiability in the integration interval. ...
(A) The celebrated Gaussian quadrature formula on finite intervals tells us that the Gauss nodes are the zeros of the unique solution of an extremal problem. We announce recent re...
A number of useful bivariate spline methods are global in nature, i.e., all of the coefficients of an approximating spline must be computed at one time. Typically this involves sol...
In this paper, we propose a segmentation method based on the Generalized Fast Marching Method (GFMM) developed by Carlini et al.([6]). The classical Fast Marching Method (FMM) is a...
Nicolas Forcadel, Carole Le Guyader, Christian Gou...
Another hybrid conjugate gradient algorithm is subject to analysis. The parameter k is computed as a convex combination of HS k (Hestenes-Stiefel) and DY k (Dai-Yuan) algorithms, i...