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NA
2008
103views more  NA 2008»
13 years 10 months ago
Monotonic sequences related to zeros of Bessel functions
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...
Lee Lorch, Martin E. Muldoon
NA
2008
99views more  NA 2008»
13 years 10 months ago
Nontensorial Clenshaw-Curtis cubature
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
NA
2008
71views more  NA 2008»
13 years 10 months ago
Numerical evaluation of a fixed-amplitude variable-phase integral
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. ...
J. N. Lyness
NA
2008
78views more  NA 2008»
13 years 10 months ago
A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space
(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...
S. B. Damelin
NA
2008
92views more  NA 2008»
13 years 10 months ago
Computing bivariate splines in scattered data fitting and the finite-element method
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...
Larry L. Schumaker
NA
2008
297views more  NA 2008»
13 years 10 months ago
Generalized fast marching method: applications to image segmentation
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...
NA
2008
84views more  NA 2008»
13 years 10 months ago
Barycentric coordinates for Lagrange interpolation over lattices on a simplex
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
NA
2008
144views more  NA 2008»
13 years 10 months ago
Another hybrid conjugate gradient algorithm for unconstrained optimization
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...
Neculai Andrei