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EUROCRYPT
2012
Springer
11 years 10 months ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...
JCAM
2011
91views more  JCAM 2011»
12 years 10 months ago
Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
Collocation methods are a well developed approach for the numerical solution of smooth and weakly-singular Volterra integral equations. In this paper we extend these methods, thro...
Samuel A. Isaacson, Robert M. Kirby
SIAMCO
2008
121views more  SIAMCO 2008»
13 years 7 months ago
Numerical Verification of Optimality Conditions
A class of optimal control problem for a semilinear elliptic partial differential equation with control constraints is considered. It is well known that sufficient second-order con...
Arnd Rösch, Daniel Wachsmuth
SIAMSC
2010
136views more  SIAMSC 2010»
13 years 2 months ago
A Krylov Method for the Delay Eigenvalue Problem
Abstract. The Arnoldi method is currently a very popular algorithm to solve large-scale eigenvalue problems. The main goal of this paper is to generalize the Arnoldi method to the ...
Elias Jarlebring, Karl Meerbergen, Wim Michiels
ICCS
2001
Springer
14 years 3 days ago
A Feynman-Kac Path-Integral Implementation for Poisson's Equation
This study presents a Feynman–Kac path-integral implementation for solving the Dirichlet problem for Poisson’s equation. The algorithm is a modified “walk on spheres” (WO...
Chi-Ok Hwang, Michael Mascagni