166 citations · 729 across the 17 of their papers we have counts for
Showing 2024Show all
2 papers · 1 filter
math.NA2024★ 13 cited
Data-free Non-intrusive Model Reduction for Nonlinear Finite Element Models via Spectral Submanifolds
Mingwu Li, Thomas Thurnher, Zhenwei Xu +1
The theory of spectral submanifolds (SSMs) has emerged as a powerful tool for constructing rigorous, low-dimensional reduced-order models (ROMs) of high-dimensional nonlinear mecha…
math.DS2024
Nonlinear Model Reduction to Random Spectral Submanifolds in Random Vibrations
Zhenwei Xu, Roshan S. Kaundinya, Shobhit Jain +1
Dynamical systems in engineering and physics are often subject to irregular excitations that are best modeled as random. Monte Carlo simulations are routinely performed on such ran…