3 papers
math.NA2026
A Pseudo-time Data-Driven Framework for Model Reduction of Linear Operator Equations
Zhentong Wei, Tingen Xiong, Wenlong Zhang +1
This paper proposes a novel Pseudo-time Proper Orthogonal Decomposition (POD) framework to enable model reduction for stationary problems lacking temporal snapshot data. By recasti…
math.NA2024
A novel model reduction method to solve inverse problems of parabolic type
Wenlong Zhang, Zhiwen Zhang
In this paper, we propose novel proper orthogonal decomposition (POD)--based model reduction methods that effectively address the issue of inverse crime in solving parabolic invers…
math.NA2023
Stochastic convergence of regularized solutions for backward heat conduction problems
Zhongjian Wang, Wenlong Zhang, Zhiwen Zhang
In this paper, we study the stochastic convergence of regularized solutions for backward heat conduction problems. These problems are recognized as ill-posed due to the exponential…