82 citations · 181 across the 28 of their papers we have counts for
4 papers · 1 filter
Overlapping Localized Exponential Time Differencing Methods for Diffusion Problems
Thi-Thao-Phuong Hoang, Lili Ju, Zhu Wang
The paper is concerned with overlapping domain decomposition and exponential time differencing for the diffusion equation discretized in space by cell-centered finite differences.…
An ensemble algorithm for numerical solutions to deterministic and random parabolic PDEs
Yan Luo, Zhu Wang
In this paper, we develop an ensemble-based time-stepping algorithm to efficiently find numerical solutions to a group of linear, second-order parabolic partial differential equati…
Non-commutative Discretize-then-Optimize Algorithms for Elliptic PDE-Constrained Optimal Control Problems
Jun Liu, Zhu Wang
In this paper, we analyze the convergence of several discretize-then-optimize algorithms, based on either a second-order or a fourth-order finite difference discretization, for sol…
Numerical Analysis of the Leray Reduced Order Model
Xuping Xie, David Wells, Zhu Wang +1
Standard ROMs generally yield spurious numerical oscillations in the simulation of convection-dominated flows. Regularized ROMs use explicit ROM spatial filtering to decrease these…