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MOC
2010
12 years 11 months ago
Midpoint criteria for solving Pell's equation using the nearest square continued fraction
We derive midpoint criteria for solving Pell's equation x2 -Dy2 =
Keith R. Matthews, John P. Robertson, Jim White
MOC
2010
12 years 11 months ago
Global smooth solution curves using rigorous branch following
In this paper, we present a new method to rigorously compute smooth branches of zeros of nonlinear operators f : Rl1
Jan Bouwe van den Berg, Jean-Philippe Lessard, Kon...
MOC
2010
12 years 11 months ago
Computing matrix representations
Let G be a ...nite group and be a faithful irreducible character for G. Earlier papers by the ...rst author describe techniques for computing a matrix representation for G which a
Vahid Dabbaghian, John D. Dixon
MOC
2010
12 years 11 months ago
A projection-based error analysis of HDG methods
Abstract. We introduce a new technique for the error analysis of hybridizable discontinuous Galerkin (HDG) methods. The technique relies on the use of a new projection whose design...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Franci...
MOC
2010
12 years 11 months ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer
MOC
2010
12 years 11 months ago
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations
Abstract. We propose a convergent implicit stabilized finite element discretization of the nonstationary incompressible magnetohydrodynamics equations with variable density, viscos...
Lubomír Bañas, Andreas Prohl
MOC
2010
12 years 11 months ago
Portrait of the four regular super-exponentials to base sqrt(2)
We introduce the concept of regular super-functions at a fixed point. It is derived from the concept of regular iteration. A super-function F of h is a solution of F(z+1)=h(F(z)). ...
Dmitrii Kouznetsov, Henryk Trappmann
MOC
2010
12 years 11 months ago
Choosing the correct elliptic curve in the CM method
We give an elementary way to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify the one with p+1-2U points, when p = U2 + dV 2 with 2U, 2V ...
Karl Rubin, Alice Silverberg
MOC
2010
12 years 11 months ago
Proving modularity for a given elliptic curve over an imaginary quadratic field
We present an algorithm to determine if the L-series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary quadratic field agree...
Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti
MOC
2010
12 years 11 months ago
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
Weak solutions for nonlinear wave equations involving the p(x)-Laplacian, for p : (1, ) are constructed as appropriate limits of solutions of an implicit finite element discretiz...
Jonas Haehnle, Andreas Prohl