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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
SIAMSC
2011
126views more  SIAMSC 2011»
12 years 11 months ago
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology
The electrical activity of the heart may be modeled by a non-linear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electr...
Micol Pennacchio, Valeria Simoncini
SIAMSC
2011
153views more  SIAMSC 2011»
12 years 11 months ago
Stable Computations with Gaussian Radial Basis Functions
Abstract. Radial basis function (RBF) approximation is an extremely powerful tool for representing smooth functions in non-trivial geometries, since the method is meshfree and can ...
Bengt Fornberg, Elisabeth Larsson, Natasha Flyer
SIAMSC
2011
162views more  SIAMSC 2011»
12 years 11 months ago
Accelerating the LSTRS Algorithm
In a recent paper [Rojas, Santos, Sorensen: ACM ToMS 34 (2008), Article 11] an efficient method for solving the Large-Scale Trust-Region Subproblem was suggested which is based on ...
Jörg Lampe, Marielba Rojas, Danny C. Sorensen...
SIAMSC
2011
148views more  SIAMSC 2011»
12 years 11 months ago
Bootstrap AMG
We develop an algebraic multigrid (AMG) setup scheme based on the bootstrap framework for multiscale scientific computation. Our approach uses a weighted least squares definition...
Achi Brandt, James J. Brannick, K. Kahl, Irene Liv...