Titlebook: Mathematical and Computational Methods for Modelling, Approximation and Simulation; Domingo Barrera,Sara Remogna,Driss Sbibih Conference p

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semiskilled

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Favorable

A Progressive Construction of Univariate Spline Quasi-Interpolants on Uniform Partitionsn a expression to the quasi-interpolation error for a enough regular function and involves the errors for the non-reproduced monomials. From it, a minimization problem is proposed whose solution is calculated progressively. It is characterized in terms of some splines which do not depend on the line

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Richardson Extrapolation of Nyström Method Associated with a Sextic Spline Quasi-Interpolante second kind. For a sufficiently smooth kernel the method is shown to have convergence of order 8 and the . extrapolation is used to further improve this order to 9. Numerical examples are given to confirm the theoretical estimates.

全国性

The Completely Discretized Problem of the Dual Mixed Formulation for the Heat Diffusion Equation in uation in a polygonal domain. We complete the discretization of the problem (Farhloul et al., Functional Analysis and Evolution Equations. The Günter Lumer Volume, p. 240, Birkhäuser, Basel, 2007) in time by using the Crank-Nicolson scheme and we show the existence, the stability and a priori error

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Economic Statistical Splicing Data Using Smoothing Quadratic Splinesnce, we study the scope of different splicing methods in the literature. We present an approximation method for statistical splicing of economic data by using smoothing quadratic splines. Finally, we show the effectiveness of our method by presenting a complete data of Gross Domestic Product for Ven

glowing

Some Properties of Convexity Structure and Applications in ,-Menger Spacese develop some geometric and topological properties. Furthermore, we introduce the notion of strong convex structure and we compare it with the Takahashi convex structure. At the end, we prove the existence and uniqueness of a solution for a Volterra type integral equation.

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Numerical Methods Based on Spline Quasi-Interpolating Operators for Hammerstein Integral Equationsolve Hammerstein integral equation. We present an error analysis of the approximate solutions and we show that the iterated solution of collocation type exhibits a superconvergence as in the case of the Galerkin method. Finally, we provide numerical tests, that confirm the theoretical results.