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97
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SIAMSC
2008
127views more  SIAMSC 2008»
15 years 1 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...
102
Voted
SIAMSC
2008
191views more  SIAMSC 2008»
15 years 1 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...
136
Voted
SIAMSC
2008
167views more  SIAMSC 2008»
15 years 1 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
101
Voted
SIAMSC
2008
104views more  SIAMSC 2008»
15 years 1 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...
111
Voted
SIAMSC
2008
142views more  SIAMSC 2008»
15 years 1 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...