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SIAMSC
2010
127views more  SIAMSC 2010»
13 years 8 months ago
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
We present a new nonlinear optimization procedure for the computation of generalized Gaussian quadratures for a broad class of square integrable functions on intervals. While some ...
James Bremer, Zydrunas Gimbutas, Vladimir Rokhlin
SIAMSC
2010
153views more  SIAMSC 2010»
13 years 8 months ago
Asymptotic Imaging of Perfectly Conducting Cracks
In this paper, we consider cracks with Dirichlet boundary conditions. We first derive an asymptotic expansion of the boundary perturbations that are due to the presence of a smal...
Habib Ammari, Hyeonbae Kang, Hyundae Lee, Won-Kwan...
SIAMSC
2010
108views more  SIAMSC 2010»
13 years 8 months ago
Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach
Abstract. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appro...
K. G. van der Zee, E. H. van Brummelen, R. de Bors...
SIAMSC
2010
165views more  SIAMSC 2010»
13 years 8 months ago
Algebraic Multigrid for Markov Chains
Abstract. An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard ...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
SIAMSC
2010
151views more  SIAMSC 2010»
13 years 8 months ago
An Inner-Outer Iteration for Computing PageRank
We present a new iterative scheme for PageRank computation. The algorithm is applied to the linear system formulation of the problem, using inner-outer stationary iterations. It is...
David F. Gleich, Andrew P. Gray, Chen Greif, Tracy...