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SIAMSC
2008
104views more  SIAMSC 2008»
15 years 6 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»
15 years 6 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...
SIAMSC
2008
113views more  SIAMSC 2008»
15 years 6 months ago
Statistical Condition Estimation for the Roots of Polynomials
This paper presents fast and reliable condition estimates for the roots of a real polynomial based on the method of statistical condition estimation (SCE) by Kenney and Laub. Using...
A. J. Laub, J. Xia
SIAMSC
2008
139views more  SIAMSC 2008»
15 years 6 months ago
Probing the Pareto Frontier for Basis Pursuit Solutions
The basis pursuit problem seeks a minimum one-norm solution of an underdetermined least-squares problem. Basis pursuit denoise (BPDN) fits the least-squares problem only approximat...
Ewout van den Berg, Michael P. Friedlander
SIAMSC
2008
106views more  SIAMSC 2008»
15 years 6 months ago
Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System
The goal of this article is to simulate rotating flows of shallow layers of fluid by means of finite volume numerical schemes. More precisely, we focus on the simulation of the geo...
Manuel J. Castro, Juan Antonio López, Carlo...