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MOC
2016
8 years 1 months ago
Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields
We present fast algorithms for computing rational first integrals with bounded degree of a planar polynomial vector field. Our approach builds upon a method proposed by Ferragut ...
Alin Bostan, Guillaume Chèze, Thomas Cluzea...
MOC
2016
8 years 1 months ago
Better polynomials for GNFS
Abstract. The general number field sieve (GNFS) is the most efficient algorithm known for factoring large integers. It consists of several stages, the first one being polynomial ...
Shi Bai, Cyril Bouvier, Alexander Kruppa, Paul Zim...
MOC
2016
8 years 1 months ago
Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws
We study analytical properties of the Toro-Titarev solver for generalized Riemann problems (GRPs), which is the heart of the flux computation in ADER generalized Godunov schemes. ...
Claus R. Goetz, Armin Iske
MOC
2016
8 years 1 months ago
Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit
We provide a simple analysis of the Douglas-Rachford splitting algorithm in the context of 1 minimization with linear constraints, and quantify the asymptotic linear convergence r...
Laurent Demanet, Xiangxiong Zhang
MOC
2016
8 years 1 months ago
Zeros of Dedekind zeta functions under GRH
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function having imaginary part in [T−a, T+a]. We also prove a bound for the multiplicity...
Loïc Grenié, Giuseppe Molteni
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