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...
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...
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,...
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., ...
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...
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...
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...
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 ...