The circle theorem and related theorems for Gauss-type quadrature rules.
The Convergence Rates of Expansions in Jacobi Polynomials.
The convex interpolation of histogram by polynomial splines: The existence theorem
The Coverage Model and Its Use in Image Processing
The CUDA implementation of the method of lines for the curvature dependent flows
We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...
The Derivation of Cubic Splines with Obstacles by Methods of Optimization and Optimal Control.
The distance of a curve to its control polygon.
Recientemente, Nairn, Peters y Lutterkort han acotado la distancia entre una curva de Bézier y su polígono de control en términos de las diferencias entre los puntos de control. Mostramos cómo extender dichas cotas a muchos tipos de curvas utilizadas en el Diseño Geométrico.
The distribution of the break points by the approximation of a square root by means of a broken line
The e-Algorithm and Multivariate Pade-Approximants
The effect of reduced integration in the Steklov eigenvalue problem
In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions, the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.
The effect of reduced integration in the Steklov eigenvalue problem
In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions, the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.
The eigenvalues of Hermite and rational spectral differentiation matrices.
The elimination of quantities and the solving of systems of transcendent equations by means of differential equations
The Error Norm of Gaussian Quadrature Formulae for Weight Functions of Bernstein-Szegö Type.
The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type.
The estimates for the reminder term of some quadrature formulae.
The Euler Maclaurin Expansion for the Cauchy Principal Value Integral.
The Fourier Analysis of Bezier Curves
The fractional transport equation: an analytical solution and a spectral approximation by Chebyshev polynomials.
The fundamentality of sets of ridge functions.