A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling

arXiv:2403.10748v1 Announce Type: cross
Abstract: Numerical solvers of partial differential equations (PDEs) have been widely employed for simulating physical systems. However, the computational cost remains a major bottleneck in various scientific and engineering applications, which has motivated the development of reduced-order models (ROMs). Recently, machine-learning-based ROMs have gained significant popularity and are promising for addressing some limitations of traditional ROM methods, especially for advection dominated systems. In this chapter, we focus on a particular framework known as Latent Space Dynamics …

abstract algorithms applications arxiv computational cost cs.ce cs.lg cs.ms cs.na development differential dynamics engineering however identification machine major math.na modeling numerical review scientific space systems type