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MOC
2016
10 years 25 days ago
Fast weak-KAM integrators for separable Hamiltonian systems
Abstract. We consider a numerical scheme for Hamilton–Jacobi equations based on a direct discretization of the Lax–Oleinik semi–group. We prove that this method is convergent...
Anne Bouillard, Erwan Faou, Maxime Zavidovique
MOC
2016
10 years 25 days ago
A limiting strategy for the back and forth error compensation and correction method for solving advection equations
We further study the properties of the back and forth error compensation and correction (BFECC) method for advection equations such as those related to the level set method and fo...
Lili Hu, Yao Li, Yingjie Liu
MOC
2016
10 years 25 days ago
Weak convergence for a spatial approximation of the nonlinear stochastic heat equation
We find the weak rate of convergence of the spatially semidiscrete finite element approximation of the nonlinear stochastic heat equation. Both multiplicative and additive noise ...
Adam Andersson, Stig Larsson
MOC
2016
10 years 25 days 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
10 years 25 days 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...