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SIAMSC
2011
115views more  SIAMSC 2011»
12 years 11 months ago
A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
A scheme is presented for the numerical solution of singular integral equations on piecewise smooth curves. It relies on several techniques: reduction, Nystr¨om discretization, co...
Johan Helsing
MOC
1998
96views more  MOC 1998»
13 years 4 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
APPML
2005
99views more  APPML 2005»
13 years 4 months ago
A numerical study of iterative refinement schemes for weakly singular integral equations
Three iterative refinement schemes are studied for approximating the solutions of linear weakly singular Fredholm integral equations of the second kind. The rates of convergence a...
Filomena D. d'Almeida, Olivier Titaud, Paulo B. Va...