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» Fast Methods for Solving Linear Diophantine Equations
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AMC
2006
105views more  AMC 2006»
13 years 8 months ago
Stable numerical methods for conservation laws with discontinuous flux function
We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, ...
Mohammed Seaïd
JCPHY
2011
87views more  JCPHY 2011»
12 years 11 months ago
A fast directional algorithm for high-frequency electromagnetic scattering
This paper is concerned with the fast solution of high frequency electromagnetic scattering problems using the boundary integral formulation. We extend the O(N log N) directional ...
Paul Tsuji, Lexing Ying
SIAMSC
2008
173views more  SIAMSC 2008»
13 years 8 months ago
A Fast Iterative Method for Eikonal Equations
In this paper we propose a novel computational technique to solve the Eikonal equation. The proposed method manages the list of active nodes and iteratively updates the solutions ...
Won-Ki Jeong, Ross T. Whitaker

Publication
2630views
15 years 8 months ago
DIJKSTRA’S and Fast Marching Method for Optimal Path Planning
This technical report illustrates the differences in solving the optimal path problem (shortest path) using different methods, where the underlying PDE can be described by the eik...
RYO TAKEI
MOC
1998
96views more  MOC 1998»
13 years 8 months ago
A convergence theorem for the fast multipole method for 2 dimensional scattering problems
Abstract. The Fast Multipole Method (FMM) designed by V. Rokhlin rapidly computes the field scattered from an obstacle. This computation consists of solving an integral equation o...
Christophe Labreuche