Research Interests
One of my recent interests is to understand from a numerical perspective some oscillating patterns in nonlinear evolution equations. These equations are raised in material science, data analysis, or fluid dynamics etc. Another interest of mine is non-convex models emerging in compressed sensing.
Publications
- Error bounds for finite-difference methods for Rudin-Osher-Fatemi image smoothing, with B. Lucier, SIAM J. Numer. Anal, to appear.
- An Unconstrained $\ell_q$ Minimization with $0 < q\le 1$ for Sparse Solution of Under-determined Linear Systems, with M.-J. Lai, SIAM J. Optim, Volume 21, Issue 1, pp. 82-101(2011).
- The convergence of a central-difference discretization of Rudin-Osher-Fatemi model for image denoising, with M.-J. Lai, B. Lucier, Scale Space and Variational Methods in Computer Vision, X.-C.-Tai et al., eds., Lecture Notes in Computer Science, Vol.~5567, Springer Berlin, Heidelberg, 2009, pp.~514--526.
Preprints
