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SIAMSC
2010
270views more  SIAMSC 2010»
15 years 5 months ago
High Order Numerical Methods to Three Dimensional Delta Function Integrals in Level Set Methods
In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for ...
Xin Wen
SIAMSC
2010
215views more  SIAMSC 2010»
15 years 5 months ago
A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation
We propose a fast algorithm for solving the ℓ1-regularized minimization problem minx∈Rn µ x 1 + Ax − b 2 2 for recovering sparse solutions to an undetermined system of linea...
Zaiwen Wen, Wotao Yin, Donald Goldfarb, Yin Zhang
SIAMSC
2010
132views more  SIAMSC 2010»
15 years 5 months ago
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers
For the finite volume discretization of a second-order elliptic model problem, we derive a posteriori error estimates which take into account an inexact solution of the associated...
Pavel Jiránek, Zdenek Strakos, Martin Vohra...
SIAMSC
2010
125views more  SIAMSC 2010»
15 years 5 months ago
A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
Abstract. In this article, we present a parallel geometric multigrid algorithm for solving elliptic partial differential equations (PDEs) on octree based conforming finite elemen...
Rahul S. Sampath, George Biros
SIAMSC
2010
116views more  SIAMSC 2010»
15 years 5 months ago
Recursively Accelerated Multilevel Aggregation for Markov Chains
A recursive acceleration method is proposed for multiplicative multilevel aggregation algorithms that calculate the stationary probability vector of large, sparse, and irreducible ...
Hans De Sterck, K. Miller, G. Sanders, M. Winlaw
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