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A new algebraic and arithmetic framework for interval computations
algebraic arithmetic framework interval computations Numerical Analysis
2011/10/9
Abstract: In this paper we propose some very promissing results in interval arithmetics which permit to build well-defined arithmetics including distributivity of multiplication and division according...
Series Prediction based on Algebraic Approximants
Hermite-Pade polynomial Algebraic approximant Pade approximant prediction of coefficients
2011/9/5
Abstract: It is described how the Hermite-Pad\'e polynomials corresponding to an algebraic approximant for a power series may be used to predict coefficients of the power series that have not been use...
ALGEBRAIC-GEOMETRY FOUNDATION FOR CONSTRUCTING SMOOTH INTERPOLANTS ON CURVED SIDES ELEMENT
2007/12/11
The aim of this paper is to lay a algebraic geometry foundation for
constructing smoothing interpolants on curved side element.
Some interpolation theorems in polynomial space are given. The main re...
On Algebraic Structure and Poisson's Theory of Mechanico-electrical Systems
algebraic structure Poisson integral method mechamico-electrical system
2012/8/1
This letter focuses on studying algebraic structure and the Poisson’s theory of mechanico-electrical systems. Based on the relationship between momentum and Hamiltonian, we present Hamilton canonical ...