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MMAS
2010
Springer
14 years 10 months ago
A Nonlinear PDE-Based Method for Sparse Deconvolution
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
Yu Mao, Bin Dong, Stanley Osher
JSCIC
2000
187views more  JSCIC 2000»
15 years 3 months ago
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
In [6], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [11], related tec...
Myungjoo Kang, Ronald Fedkiw, Xu-Dong Liu
112
Voted
JCC
2010
74views more  JCC 2010»
15 years 1 months ago
A first-order system least-squares finite element method for the Poisson-Boltzmann equation
The Poisson-Boltzmann equation is an important tool in modeling solvent in biomolecular systems. In this paper, we focus on numerical approximations to the electrostatic potential...
Stephen D. Bond, Jehanzeb Hameed Chaudhry, Eric C....
152
Voted
SIAMSC
2010
192views more  SIAMSC 2010»
15 years 1 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
130
Voted
COLING
2010
14 years 10 months ago
The Bag-of-Opinions Method for Review Rating Prediction from Sparse Text Patterns
The problem addressed in this paper is to predict a user's numeric rating in a product review from the text of the review. Unigram and n-gram representations of text are comm...
Lizhen Qu, Georgiana Ifrim, Gerhard Weikum