most citedReduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey

2 citations · 6 across the 7 of their papers we have counts for

collaborators

9 papers

math.OC2021

Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop

Weiwei Hu, Jun Liu, Zhu Wang

This paper is concerned with a bilinear control problem for enhancing convection-cooling via an incompressible velocity field. Both optimal open-loop control and closed-loop feedba…

physics.ao-ph2021

Parallel Exponential Time Differencing Methods for Geophysical Flow Simulations

Rihui Lan, Wei Leng, Zhu Wang +2

Two ocean models are considered for geophysical flow simulations: the multi-layer shallow water equations and the multi-layer primitive equations. For the former, we investigate th…

math.NA2021

An efficient iterative method for solving parameter-dependent and random convention-diffusion problems

Xiaobing Feng, Yan Luo, Liet Vo +1

This paper develops and analyzes a general iterative framework for solving parameter-dependent and random convection-diffusion problems. It is inspired by the multi-modes method of…

stat.ML2021

Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

Anthony Gruber, Max Gunzburger, Lili Ju +2

A dimension reduction method based on the "Nonlinear Level set Learning" (NLL) approach is presented for the pointwise prediction of functions which have been sparsely sampled. Lev…

math.NA20212 cited

A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations

Lihong Feng, Guosheng Fu, Zhu Wang

The basis generation in reduced order modeling usually requires multiple high-fidelity large-scale simulations that could take a huge computational cost. In order to accelerate the…

math.NA20212 cited

Structure-Preserving Galerkin POD-DEIM Reduced-Order Modeling of Hamiltonian Systems

Zhu Wang

A structure preserving proper orthogonal decomposition reduce-order modeling approach has been developed in [Gong et al. 2017] for the Hamiltonian system, which uses the traditiona…