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SIAMSC
2008
151views more  SIAMSC 2008»
13 years 9 months ago
Accurate Floating-Point Summation Part I: Faithful Rounding
Given a vector of floating-point numbers with exact sum s, we present an algorithm for calculating a faithful rounding of s, i.e. the result is one of the immediate floating-point ...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
SIAMSC
2008
97views more  SIAMSC 2008»
13 years 9 months ago
Numerical Methods for Computing Nonlinear Eigenpairs: Part II. Non-Iso-Homogeneous Cases
Standing (solitary)-wave/steady-state solutions in many nonlinear wave motions and Schrodinger flows lead to nonlinear eigenproblems. In [X. Yao and J. Zhou, SIAM J. Sci. Comput., ...
Xudong Yao, Jianxin Zhou
SIAMSC
2008
118views more  SIAMSC 2008»
13 years 9 months ago
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction
We discuss in this paper the numerical approximation of fluid-structure interaction (FSI) problems dealing with strong added-mass effect. We propose new semi-implicit algorithms ba...
Santiago Badia, Annalisa Quaini, Alfio Quarteroni
SIAMSC
2008
132views more  SIAMSC 2008»
13 years 9 months ago
Stochastic Preconditioning for Diagonally Dominant Matrices
Abstract. This paper presents a new stochastic preconditioning approach for large sparse matrices. For the class of matrices that are row-wise and column-wise irreducibly diagonall...
Haifeng Qian, Sachin S. Sapatnekar
SIAMSC
2008
165views more  SIAMSC 2008»
13 years 9 months ago
Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
Abstract. A new iterative algorithm for the solution of minimization problems in infinitedimensional Hilbert spaces which involve sparsity constraints in form of p-penalties is pro...
Kristian Bredies, Dirk A. Lorenz