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A recent paper [J. A. Evans, D. Kamensky, Y. Bazilevs, "Variational multiscale modeling with discretely divergence-free subscales", Computers & Mathematics with Applications, 80 (2020) 2517-2537] introduced a novel stabilized finite element…

Numerical Analysis · Mathematics 2021-12-21 Sajje Lee Calfy , John A. Evans , David Kamensky

Comparing with traditional fixed formation for a group of dynamical systems, time-varying formation can produce the following benefits: i) covering the greater part of complex environments; ii) collision avoidance. This paper studies the…

Systems and Control · Computer Science 2016-07-27 Ming-Feng Ge , Zhi-Hong Guan , Chao Yang , Tao Li , Yan-Wu Wang

With the increasing spans and complex deck shapes, aerodynamic nonlinearity becomes a crucial concern in the design of long-span bridges. This paper investigates the nonlinear interaction between the gust-induced and motion-induced forces…

Fluid Dynamics · Physics 2022-08-24 Samuel Tesfaye , Igor Kavrakov , Guido Morgenthal

We introduce a dynamic spatiotemporal volatility model that extends traditional approaches by incorporating spatial, temporal, and spatiotemporal spillover effects, along with volatility-specific observed and latent factors. The model…

Methodology · Statistics 2024-10-23 Osman Doğan , Raffaele Mattera , Philipp Otto , Süleyman Taşpınar

Decomposing multivariate time series with certain basic dynamics is crucial for understanding, predicting and controlling nonlinear spatiotemporally dynamic systems such as the brain. Dynamic mode decomposition (DMD) is a method for…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Ryohei Fukuma , Yoshinobu Kawahara , Okito Yamashita , Kei Majima , Haruhiko Kishima , Takufumi Yanagisawa

We demonstrate that the integration of the recently developed dynamic mode decomposition (DMD) with a multi-resolution analysis allows for a decomposition method capable of robustly separating complex systems into a hierarchy of…

Dynamical Systems · Mathematics 2015-06-02 J. Nathan Kutz , Xing Fu , Steven L. Brunton

We propose a framework for a global description of the dynamics of complex flows via clusterized spatial representations of the flow, isolating and identifying local dynamics, retrieving different Space-Time Cluster-Based Network Models…

Fluid Dynamics · Physics 2026-01-09 Qihong L. Li-Hu , Guy Y. Cornejo Maceda , Andrea Ianiro , Stefano Discetti

Experimental Modal Analysis (EMA) has been widely used to identify structural dynamic properties, including natural frequencies, damping ratios, and mode shapes, for structural integrity assessment. The Poly-reference Least Squares Complex…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Yanxin Si , Bayu Jayawardhana , J. Nathan Kutz , Yunpeng Zhu , Liangliang Cheng

Modeling heterogeneous correlated time series requires the ability to learn hidden dynamic relationships between component time series with possibly varying periodicities and generative processes. To address this challenge, we formulate and…

Methodology · Statistics 2025-12-02 Jeshwanth Mohan , Bharath Ramsundar , Sandya Subramanian

Nonparametric varying coefficient (NVC) models are useful for modeling time-varying effects on responses that are measured repeatedly for the same subjects. When the number of covariates is moderate or large, it is desirable to perform…

Methodology · Statistics 2023-09-19 Ray Bai , Mary R. Boland , Yong Chen

For the understanding of fluctuation measurements in heavy-ion collisions it is crucial to develop quantitatively reliable dynamical descriptions which take the non-perturbative nature of QCD near the phase transition into account. We…

High Energy Physics - Phenomenology · Physics 2019-02-20 M. Bluhm , Y. Jiang , M. Nahrgang , J. M. Pawlowski , F. Rennecke , N. Wink

Irregularly sampled time series (ISTS) are widespread in real-world scenarios, exhibiting asynchronous observations on uneven time intervals across variables. Existing ISTS forecasting methods often solely utilize historical observations to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Zhi Lei , Chenxi Liu , Hao Miao , Wanghui Qiu , Bin Yang , Chenjuan Guo

Chemical vapor deposition (CVD) is a common industrial process that incorporates a complex combination of fluid flow, chemical reactions, and surface deposition. Understanding CVD processes requires rigorous and costly experimentation…

Fluid Dynamics · Physics 2025-09-09 Himel Barua , Alex Povitsky

This study proposes an innovative approach to analyze spatial patterns of behavior by integrating information in weighted Voronoi diagrams. The objective of the research is to analyze the temporal distribution of an experimental subject in…

The motion of suspended colloidal particles generates fluid disturbances in the surrounding medium that create interparticle interactions. While such colloidal hydrodynamic interactions (HIs) have been extensively studied in viscous…

Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Naveed ur Rehman

Dynamic mode decomposition (DMD) has proven to be a valuable tool for the analysis of complex flow-fields but the application of this technique to flows with moving boundaries is not straightforward. This is due to the difficulty in…

Fluid Dynamics · Physics 2020-07-28 Karthik Menon , Rajat Mittal

We study compressible MHD turbulence, which holds key to many astrophysical processes, including star formation and cosmic ray propagation. To account for the variations of the magnetic field in the strongly turbulent fluid we use wavelet…

Astrophysics of Galaxies · Physics 2015-05-18 Grzegorz Kowal , Alex Lazarian

Detecting what has changed in an environment is essential for long-term autonomy, yet most change detection settings assume fixed viewpoints, mild misalignment, or only a few changed objects. We introduce Video-based Scene Change Detection…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Jiae Yoon , Ue-Hwan Kim

Under compressive creep, visco-plastic solids experiencing internal mass transfer processes have been recently proposed to accommodate singular cnoidal wave solutions, as material instabilities at the stationary wave limit. These…

Computational Physics · Physics 2020-08-05 Roberto J. Cier , Thomas Poulet , Sergio Rojas , Victor M. Calo , Manolis Veveakis
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