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SIAMSC
2008
108views more  SIAMSC 2008»
13 years 5 months ago
A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
A nine point scheme is presented for discretizing diffusion operators on distorted quadrilateral meshes. The advantage of this method is that highly distorted meshes can be used wi...
Zhiqiang Sheng, Guangwei Yuan
SIAMSC
2008
129views more  SIAMSC 2008»
13 years 5 months ago
Bottom-Up Construction and 2: 1 Balance Refinement of Linear Octrees in Parallel
Abstract. In this article, we propose new parallel algorithms for the construction and 2:1 balance refinement of large linear octrees on distributed memory machines. Such octrees a...
Hari Sundar, Rahul S. Sampath, George Biros
SIAMSC
2008
122views more  SIAMSC 2008»
13 years 5 months ago
A Framework for Discrete Integral Transformations II-The 2D Discrete Radon Transform
The Radon transform is a fundamental tool in many areas. For example, in reconstruction of an image from its projections (CT scanning). Although it is situated in the core of many...
Amir Averbuch, Ronald R. Coifman, David L. Donoho,...
SIAMSC
2008
97views more  SIAMSC 2008»
13 years 5 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
167views more  SIAMSC 2008»
13 years 5 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
SIAMSC
2008
106views more  SIAMSC 2008»
13 years 5 months ago
Multilevel Linear Sampling Method for Inverse Scattering Problems
A novel multilevel algorithm is presented for implementing the widely used linear sampling method in inverse obstacle scattering problems. The new method is shown to possess asympt...
Jingzhi Li, Hongyu Liu, Jun Zou
SIAMSC
2008
92views more  SIAMSC 2008»
13 years 5 months ago
On Multisymplecticity of Partitioned Runge-Kutta Methods
Previously, it has been shown that discretising a multi-Hamiltonian PDE in space and time with partitioned Runge
Brett N. Ryland, Robert I. McLachlan
SIAMSC
2008
127views more  SIAMSC 2008»
13 years 5 months ago
Restoration of Chopped and Nodded Images by Framelets
In infrared astronomy, an observed image from a chop and nod process can be considered as the result of passing the original image through a highpass filter. Here we propose a rest...
Jian-Feng Cai, Raymond H. Chan, Lixin Shen, Zuowei...
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 5 months ago
High Order Numerical Quadratures to One Dimensional Delta Function Integrals
Abstract. We study high order numerical quadratures to one dimensional delta function integrals in this paper. This is motivated by the fact that traditional numerical quadratures ...
Xin Wen