8 citations · 14 across the 4 of their papers we have counts for
4 papers · 1 filter
A Multilevel Monte Carlo Ensemble Scheme for Solving Random Parabolic PDEs
Yan Luo, Zhu Wang
A first-order, Monte Carlo ensemble method has been recently introduced for solving parabolic equations with random coefficients in [26], which is a natural synthesis of the ensemb…
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems
Max Gunzburger, Nan Jiang, Zhu Wang
We consider settings for which one needs to perform multiple flow simulations based on the Navier-Stokes equations, each having different values for the physical parameters and/or…
An efficient algorithm for simulating ensembles of parameterized flow problems
Max Gunzburger, Nan Jiang, Zhu Wang
Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to effi…
Nonlinear Model Reduction Based On The Finite Element Method With Interpolated Coefficients: Semilinear Parabolic Equations
Zhu Wang
For nonlinear reduced-order models, especially for those with non-polynomial nonlinearities, the computational complexity still depends on the dimension of the original dynamical s…