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math.NA2021
Projection based model reduction for the immersed boundary method
Yushuang Luo, Xiantao Li, Wenrui Hao
Fluid-structure interactions are central to many bio-molecular processes, and they impose a great challenge for computational and modeling methods. In this paper, we consider the i…
math.NA2021
A Machine-Learning Method for Time-Dependent Wave Equations over Unbounded Domains
Changjian Xie, Jingrun Chen, Xiantao Li
Time-dependent wave equations represent an important class of partial differential equations (PDE) for describing wave propagation phenomena, which are often formulated over unboun…
math.NA2019
Linear Response Based Parameter Estimation in the Presence of Model Error
He Zhang, John Harlim, Xiantao Li
Recently, we proposed a method to estimate parameters of stochastic dynamics based on the linear response statistics. The method rests upon a nonlinear least-squares problem that t…