Are there specialized DMD algorithms for analyzing non-smooth dynamical systems?

... method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods ... Analysis of Proper Orthogonal Decomposition and Dynamic Mode Decomposition on LES of Subsonic Jets. Santosh Tirunagari, Ville Vuorinen, Ossi Kaario, ... Abstract. Originally introduced in the fluid mechanics community, dynamic mode decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of ... Apr 6, 2017 ... ... dynamic mode decomposition (WR-DMD). Our proposed method is validated on ten different healthy volunteers' kidney DCE-MRI data sets. The ... Oct 26, 2023 ... Dynamic mode decomposition (DMD) is an equation-free method originally developed in the field of fluid dynamics to investigate coherent ... In this paper, we will propose an extension of DMD that exploits low-rank tensor decompositions of potentially high-dimensional data sets. In this paper, we propose subspace DMD as an algorithm for the Koopman analysis of random dynamical systems with observation noise. In particular, we explore an algorithm rooted in fluid-dynamics, known as higher-order Dynamic Mode Decomposition, which is designed to capture the ... Jun 19, 2019 ... ... method for modeling dynamical systems called the Dynamic Mode Decomposition (DMD). This is a recent method that has first emerged in the ... Jul 19, 2023 ... Time-extrapolation techniques based on reduced-order models (ROMs), such as dynamic mode decomposition (DMD) can be used not only to reduce the ...