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COMPUTING
2006
130views more  COMPUTING 2006»
13 years 7 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner
MICCAI
2002
Springer
14 years 8 months ago
New Approaches to Estimation of White Matter Connectivity in Diffusion Tensor MRI: Elliptic PDEs and Geodesics in a Tensor-Warpe
Abstract. We investigate new approaches to quantifying the white matter connectivity in the brain using Diffusion Tensor Magnetic Resonance Imaging data. Our first approach finds a...
Lauren O'Donnell, Steven Haker, Carl-Fredrik Westi...
JCP
2007
214views more  JCP 2007»
13 years 7 months ago
Reconstruction of 3D Human Facial Images Using Partial Differential Equations
—One of the challenging problems in geometric modeling and computer graphics is the construction of realistic human facial geometry. Such geometry are essential for a wide range ...
Eyad Elyan, Hassan Ugail
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