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125
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SIAMSC
2008
116views more  SIAMSC 2008»
15 years 3 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
SIAMSC
2008
104views more  SIAMSC 2008»
15 years 3 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 3 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...
134
Voted
SIAMSC
2008
113views more  SIAMSC 2008»
15 years 3 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
127views more  SIAMSC 2008»
15 years 3 months ago
Fast (Structured) Newton Computations
Abstract. Many vector-valued functions, representing expensive computations, are also structured computations. In this case the calculation of the Newton step can be greatly accele...
Thomas F. Coleman, Wei Xu