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MOC
2000
77views more  MOC 2000»
13 years 10 months ago
Isomorphisms between Artin-Schreier towers
We give a method for efficiently computing isomorphisms between towers of Artin-Schreier extensions over a finite field. We find that isomorphisms between towers of degree pn over ...
Jean Marc Couveignes
MOC
2000
181views more  MOC 2000»
13 years 10 months ago
Newton's method for overdetermined systems of equations
Abstract. Complexity theoretic aspects of continuation methods for the solution of square or underdetermined systems of polynomial equations have been studied by various authors. I...
Jean-Pierre Dedieu, Mike Shub
MOC
2000
68views more  MOC 2000»
13 years 10 months ago
From formal numerical solutions of elliptic PDE's to the true ones
Abstract. We propose a discretization scheme for a numerical solution of elliptic PDE's, based on local representation of functions, by their Taylor polynomials (jets). This s...
Z. Wiener, Yosi Yomdin
MOC
2000
94views more  MOC 2000»
13 years 10 months ago
Irreducibility testing over local fields
The purpose of this paper is to describe a method to determine whether a bivariate polynomial with rational coefficients is irreducible when regarded as an element in Q((x))[y], th...
P. G. Walsh
MOC
2000
77views more  MOC 2000»
13 years 10 months ago
Ultraconvergence of the patch recovery technique II
The ultraconvergence property of a gradient recovery technique proposed by Zienkiewicz and Zhu is analyzed for the Laplace equation in the two dimensional setting. Under the assump...
Zhimin Zhang