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» A fast method for the solution of the Helmholtz equation
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Publication
3460views
15 years 6 months ago
Multistencils Fast Marching Methods: A Highly Accurate Solution to the Eikonal Equation on Cartesian Domains
A wide range of computer vision applications require an accurate solution of a particular Hamilton-Jacobi (HJ) equation known as the Eikonal equation. In this paper, we propose an ...
M. Sabry Hassouna, Aly A. Farag
MP
2002
101views more  MP 2002»
13 years 4 months ago
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...

Publication
445views
15 years 1 months ago
Computational Study of Fast Methods For The Eikonal Equation
"A computational study of the Fast Marching and the Fast Sweeping methods for the Eikonal equation is given. It is shown that even though Fast Sweeping requires asymptotically...
Pierre A. Gremaud and Christopher M. Kuster
EPIA
1993
Springer
13 years 9 months ago
Fast Methods for Solving Linear Diophantine Equations
We present some recent results from our research on methods for finding the minimal solutions to linear Diophantine equations over the naturals. We give an overview of a family of...
Miguel Filgueiras, Ana Paula Tomás
SIAMSC
2011
113views more  SIAMSC 2011»
12 years 11 months ago
An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson–Boltzmann equation. Our approach combines sever...
Chandrajit L. Bajaj, Shun-Chuan Albert Chen, Alexa...