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MOC
2010
13 years 2 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
13 years 2 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
13 years 2 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
13 years 2 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
13 years 2 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
13 years 2 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
13 years 2 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
13 years 2 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
13 years 2 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
13 years 2 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