Nested sequences of Chebyshev spaces and shape parameters
Nevanlinna Theory, Diophantine Approximation, and Numerical Analysis.
New algorithm for polynomial spectral factorization with quadratic convergence. I
New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree
New efficient numerical method for 3D point cloud surface reconstruction by using level set methods
In this article, we present a mathematical model and numerical method for surface reconstruction from 3D point cloud data, using the level-set method. The presented method solves surface reconstruction by the computation of the distance function to the shape, represented by the point cloud, using the so called Fast Sweeping Method, and the solution of advection equation with curvature term, which creates the evolution of an initial condition to the final state. A crucial point for efficiency is...
New error inequalities for the Lagrange interpolating polynomial.
New inequalities obtained by means of quadrature formulae.
New limit formulas for the convolution of a function with a measure and their applications.
New Minimality Properties of Gaussian Quadratures.
New recurrence formulae for spherical Bessel's functions
New results in extremal problems with polynomials.
Newton interpolating series at distinct points with coefficients in a real Banach algebra.
Newton Interpolation Is Efficient for Approximation of Linear Functionals.
Nonlinear approximation in control problems
Nonlinear Interpolation of Functions of Very Many Variables.
Non-monotoneous parallel iteration for solving convex feasibility problems
The method of projections onto convex sets to find a point in the intersection of a finite number of closed convex sets in an Euclidean space, sometimes leads to slow convergence of the constructed sequence. Such slow convergence depends both on the choice of the starting point and on the monotoneous behaviour of the usual algorithms. As there is normally no indication of how to choose the starting point in order to avoid slow convergence, we present in this paper a non-monotoneous parallel algorithm...
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
Normal bivariate Birkhoff interpolation schemes and Pell equation
Finding the normal Birkhoff interpolation schemes where the interpolation space and the set of derivatives both have a given regular “shape” often amounts to number-theoretic equations. In this paper we discuss the relevance of the Pell equation to the normality of bivariate schemes for different types of “shapes”. In particular, when looking at triangular shapes, we will see that the conjecture in Lorentz R.A., Multivariate Birkhoff Interpolation, Lecture Notes in Mathematics, 1516, Springer, Berlin-Heidelberg,...
Note on symmetric alteration of knots of B-spline curves.
Note on the first order orthogonal projections