An optimized dynamic mode decomposition model robust to multiplicative noise

M Lee, J Park - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal
data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth …

Additive Schwarz methods for fourth-order variational inequalities

J Park - Journal of Scientific Computing, 2024 - Springer
Fourth-order variational inequalities are encountered in various scientific and engineering
disciplines, including elliptic optimal control problems and plate obstacle problems. In this …

Fast Non-overlapping Domain Decomposition Methods for Continuous Multi-phase Labeling Problem

Z Zhang, H Chang, Y Duan - Journal of Scientific Computing, 2023 - Springer
This paper presents the domain decomposition methods (DDMs) for achieving fast parallel
computing on multi-core computers when dealing with the multi-phase labeling problem. To …

Accelerated Non-Overlapping Domain Decomposition Method for Total Variation Minimization.

X Li, Z Zhang, H Chang, Y Duan - … : Theory, Methods & …, 2021 - search.ebscohost.com
We concern with fast domain decomposition methods for solving the total variation
minimization problems in image processing. By decomposing the image domain into non …

A general decomposition method for a convex problem related to total variation minimization

S Hilb, A Langer - arXiv preprint arXiv:2211.00101, 2022 - arxiv.org
We consider sequential and parallel decomposition methods for a dual problem of a general
total variation minimization problem with applications in several image processing tasks, like …