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Finite volume schemes for hyperbolic balance laws require a piecewise polynomial reconstruction of the cell averaged values, and a reconstruction is termed `well-balanced' if it is able to simulate steady states at higher order than time…

Numerical Analysis · Mathematics 2021-06-22 Edward W. G. Skevington

This paper develops a spatially resolved perturbation theory for singular vectors under high-dimensional separable noise and applies it to data-driven matrix recovery. In the asymptotic regime where the matrix dimensions are proportional…

Spectral Theory · Mathematics 2026-03-16 Pei-Chun Su

We consider the scenario in which multiple sensors send spatially correlated data to a fusion center (FC) via independent Rayleigh-fading channels with additive noise. Assuming that the sensor data is sparse in some basis, we show that the…

Information Theory · Computer Science 2015-06-12 Gang Yang , Vincent Y. F. Tan , Chin Keong Ho , See Ho Ting , Yong Liang Guan

Passive acoustics can provide a variety of capabilities with applications in oceanographic research and maritime situational awareness. In this paper, we develop a method for the navigation of autonomous underwater vehicles (AUVs) in…

Signal Processing · Electrical Eng. & Systems 2023-06-13 Junsu Jang , Florian Meyer

This study presents a coupled physical statistical framework for retrieving snow water equivalent (SWE) in forested areas using dual frequency X and Ku band SAR observations. The method combines a multilayer snow hydrology model (MSHM) with…

Geophysics · Physics 2025-11-25 Siddharth Singh , Carrie Vuyovich , Ana P. Barros

For submillimeter spectroscopy with ground-based single-dish telescopes, removing noise contribution from the Earth's atmosphere and the instrument is essential. For this purpose, here we propose a new method based on a data-scientific…

Instrumentation and Methods for Astrophysics · Physics 2021-08-20 Akio Taniguchi , Yoichi Tamura , Shiro Ikeda , Tatsuya Takekoshi , Ryohei Kawabe

Effective reef monitoring requires the quantification of coral growth via accurate volumetric and surface area estimates, which is a challenging task due to the complex morphology of corals. We propose a novel, lightweight, and scalable…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Diego Eustachio Farchione , Ramzi Idoughi , Peter Wonka

This paper considers two-dimensional steady continuous stratified periodic water waves. Firstly, we prove that each streamline must be symmetric about the crest line when it is strictly monotonous between troughs and crests by exploiting…

Analysis of PDEs · Mathematics 2021-09-01 Fei Xu , Yong Zhang , Fengquan Li

In the present study, we propose a modified version of the Nonlinear Shallow Water Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the bottom undergoes some significant variations in space and time. The…

Classical Physics · Physics 2020-02-20 Denys Dutykh , Didier Clamond

Latent heat flux is a primary pathway for ocean-atmosphere exchange of heat and moisture, yet the influence of sea surface temperature variability at fine scales ($\leq$ 100 km) on latent heat flux variability, particularly over the…

Atmospheric and Oceanic Physics · Physics 2026-02-18 Lucie Reymondet , Lia Siegelman , Luc Lenain

Full-waveform inversion (FWI) is a high-resolution seismic imaging method that estimates subsurface velocity by matching simulated and recorded waveforms. However, FWI is highly nonlinear, prone to cycle skipping, and sensitive to noise,…

Machine Learning · Computer Science 2026-03-17 Xinquan Huang , Paris Perdikaris

Real-time water-level monitoring across many locations is vital for flood response, infrastructure management, and environmental forecasting. Yet many sensing methods rely on fixed instruments - acoustic, radar, camera, or pressure probes -…

Signal Processing · Electrical Eng. & Systems 2025-11-27 Ayoob Salari , Kai Wu , Khawaja Fahad Masood , Y. Jay Guo , J. Andrew Zhang

Effective spatio-temporal measurements of water surface elevation (water waves) in laboratory experiments are essential for scientific and engineering research. Existing techniques are often cumbersome, computationally heavy and generally…

Atmospheric and Oceanic Physics · Physics 2024-10-31 Noam Ginio , Michael Lindenbaum , Barak Fishbain , Dan Liberzon

Coastal hypoxia (O_2 < 63 [mmol / m^3]) threatens ocean health worldwide. On continental shelves, summer stratification prevents bottom oxygen consumed by respiration from being renewed, making monitoring essential to protect vulnerable…

Atmospheric and Oceanic Physics · Physics 2026-05-12 Victor Mangeleer , Luc Vandenbulcke , Marilaure Grégoire , Gilles Louppe

Wave propagation in a stratified fluid / porous medium is studied here using analytical and numerical methods. The semi-analytical method is based on an exact stiffness matrix method coupled with a matrix conditioning procedure, preventing…

Classical Physics · Physics 2012-07-11 Gaëlle Lefeuve-Mesgouez , Arnaud Mesgouez , Guillaume Chiavassa , Bruno Lombard

Image filtering algorithms are applied on images to remove the different types of noise that are either present in the image during capturing or injected in to the image during transmission. Underwater images when captured usually have…

Multimedia · Computer Science 2009-12-08 Dr. G. Padmavathi , Dr. P. Subashini , Mr. M. Muthu Kumar , Suresh Kumar Thakur

The impact of boat traffic on the health of coastal ecosystems is a multi-scale process: from minutes (individual wakes) to days (tidal modulation of sediment transport), to seasons and years (traffic is seasonal). A considerable numerical…

Fluid Dynamics · Physics 2021-03-17 C. Forlini , R. Qayyum , M. Malej , M. -A. Y. -H. Lam , F. Shi , C. Angelini , A. Sheremet

Intrinsic image decomposition aims at separating an image into its underlying albedo and shading components, isolating the base color from lighting effects to enable downstream applications such as virtual relighting and scene editing.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Hala Djeghim , Nathan Piasco , Luis Roldão , Moussab Bennehar , Dzmitry Tsishkou , Céline Loscos , Désiré Sidibé

This paper presents a novel dataset for the development of visual navigation and simultaneous localisation and mapping (SLAM) algorithms as well as for underwater intervention tasks. It differs from existing datasets as it contains ground…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Tomasz Luczynski , Jonatan Scharff Willners , Elizabeth Vargas , Joshua Roe , Shida Xu , Yu Cao , Yvan Petillot , Sen Wang

Wavelets are waveform functions that describe transient and unstable variations, such as noises. In this work, we study the advantages of discrete and continuous wavelet transforms (DWT and CWT) of microlensing data to denoise them and…

Instrumentation and Methods for Astrophysics · Physics 2023-10-06 Sedighe Sajadian , Hossein Fatheddin