4 papers
MAD-NG: Meta-Auto-Decoder Neural Galerkin Method for Solving Parametric Partial Differential Equations
Qiuqi Li, Yiting Liu, Jin Zhao +1
Parametric partial differential equations (PDEs) are fundamental for modeling a wide range of physical and engineering systems influenced by uncertain or varying parameters. Tradit…
A parallel solver for random input problems via Karhunen-Loève expansion and diagonalized coarse grid correction
Dou Dai, Qiuqi Li, Huailing Song
This paper is dedicated to enhancing the computational efficiency of traditional parallel-in-time methods for solving stochastic initial-value problems. The standard parareal algor…
A Randomized GMsFEM with Data-Driven Predictors for Parametric Flow Problems in Multiscale Heterogeneous Media
Wing Tat Leung, Qiuqi Li, Songwei Liu
In this paper, we propose a randomized generalized multiscale finite element method (Randomized GMsFEM) for flow problems with parameterized inputs and high-contrast heterogeneous…
A Dynamical Variable-separation Method for Parameter-dependent Dynamical Systems
Liang Chen, Yaru Chen, Qiuqi Li +1
This paper proposes a dynamical Variable-separation method for solving parameter-dependent dynamical systems. To achieve this, we establish a dynamical low-rank approximation for t…