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SIAMSC
2008
127views more  SIAMSC 2008»
14 years 11 months ago
On Diagonally Relaxed Orthogonal Projection Methods
Abstract. We propose and study a block-iterative projections method for solving linear equations and/or inequalities. The method allows diagonal component-wise relaxation in conjun...
Yair Censor, Tommy Elfving, Gabor T. Herman, Toura...
SIAMSC
2008
191views more  SIAMSC 2008»
14 years 11 months ago
ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions
Abstract. We present a new derivative-free algorithm, ORBIT, for unconstrained local optimization of computationally expensive functions. A trust-region framework using interpolati...
Stefan M. Wild, Rommel G. Regis, Christine A. Shoe...
SIAMSC
2008
167views more  SIAMSC 2008»
14 years 11 months ago
New Finite Elements for Large-Scale Simulation of Optical Waves
We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called Trigonometric Finite Wave Elements (TFWEs)...
Britta Heubeck, Christoph Pflaum, Gunther Steinle
SIAMSC
2008
104views more  SIAMSC 2008»
14 years 11 months ago
Reducing Floating Point Error in Dot Product Using the Superblock Family of Algorithms
This paper discusses both the theoretical and statistical errors obtained by various well-known dot products, from the canonical to pairwise algorithms, and introduces a new and mo...
Anthony M. Castaldo, R. Clint Whaley, Anthony T. C...
SIAMSC
2008
142views more  SIAMSC 2008»
14 years 11 months ago
A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
We present a fast direct solver methodology for the Dirichlet biharmonic problem in a rectangle. The solver is applicable in the case of the second order Stephenson scheme [34] as ...
Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fi...