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math.NA2025
A Reduced Order Modeling Method with Variable-Separation-Based Domain Decomposition for Parametric Dynamical Systems
Yuming Ba, Liang Chen, Yaru Chen +1
This paper proposes a model order reduction method for a class of parametric dynamical systems. Using a temporal Fourier transform, we reformulate these systems into complex-valued…
math.NA2025
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…
math.NA2023★ 8 cited
Stochastic Domain Decomposition Based on Variable-Separation Method
Liang Chen, Yaru Chen, Qiuqi Li +1
In this work, we propose a new stochastic domain decomposition method for solving steady-state partial differential equations (PDEs) with random inputs. Based on the efficiency of…