A best approximation property of the generalized spline functions.
A Best Lower Bound for Good Lattice Points.
A brief review of some application driven fast algorithms for elliptic partial differential equations
Some application driven fast algorithms developed by the author and his collaborators for elliptic partial differential equations are briefly reviewed here. Subsequent use of the ideas behind development of these algorithms for further development of other algorithms some of which are currently in progress is briefly mentioned. Serial and parallel implementation of these algorithms and their applications to some pure and applied problems are also briefly reviewed.
A. C. Clarke's Space Odyssey and Newton's law of gravity
In his famous tetralogy, Space Odyssey, A. C. Clarke called the calculation of a motion of a mass point in the gravitational field of the massive cuboid a classical problem of gravitational mechanics. This article presents a proposal for a solution to this problem in terms of Newton's theory of gravity. First we discuss and generalize Newton's law of gravitation. We then compare the gravitational field created by the cuboid -- monolith, with the gravitational field of the homogeneous sphere. This...
A certain class of quadratures.
A certain class of quadratures.
A certain class of quadratures with hat function as a weight function.
A characterization of the approximation order for multivariate spline spaces
A Class of Multidimensional Periodic Splines.
A compact variable metric algorithm for linearly constrained nonlinear minimax approximation
A compactness result for a second-order variational discrete model
We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions with bounded hessian, and we give an upper and a lower...
A compactness result for a second-order variational discrete model
We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions...
A comparison of three high-precision quadrature schemes.
A Computational Procedure for the Approximation of Random Functions.
A conjecture on multivariate polynomial interpolation.
La generalización de las fórmulas de interpolación de Lagrange y Newton a varias variables es uno de los temas habituales de estudio en interpolación polinómica. Dos clases de configuraciones geométricas particularmente interesantes en el plano fueron obtenidas por Chung y Yao en 1978 para la fórmula de Lagrange y por Gasca y Maeztu en 1982 para la de Newton. Estos últimos autores conjeturaron que toda configuración de la primera clase es de la segunda, y probaron que el recíproco no es cierto....
A Constant Space Representation of Digital Cubic Parabolas
A Contribution to the Theory of Condition.
A Convergence Condition for the Quadrilateral Wilson Element.
A convergence theory of some methods of integration.
A descent algorithm for - approximation of continuous functions with values in unitary space