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For uncertainty propagation of highly complex and/or nonlinear problems, one must resort to sample-based non-intrusive approaches [1]. In such cases, minimizing the number of function evaluations required to evaluate the response surface is…

Numerical Analysis · Mathematics 2017-12-04 Anindya Bhaduri , Lori Graham-Brady

Global Positioning System (GPS) navigation provides accurate positioning with global coverage, making it a reliable option in open areas with unobstructed sky views. However, signal degradation may occur in indoor spaces and urban canyons.…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Simegnew Yihunie Alaba

In this work we discuss an approximate model for the propagation of deep irrotational water waves, specifically the model obtained by keeping only quadratic nonlinearities in the water waves system under the Zakharov/Craig-Sulem…

Analysis of PDEs · Mathematics 2025-01-06 Vincent Duchêne , Benjamin Melinand

This manuscript analyzes IONORT-ISP-WC, an advanced ionospheric ray-tracing tool improving HF radio wave propagation predictions. It significantly upgrades IONORT-ISP by integrating a double-exponential collision frequency model for the…

Geophysics · Physics 2025-07-01 Alessandro Settimi

We propose a new method for combining in situ buoy measurements with Earth system models (ESMs) to improve the accuracy of temperature predictions in the ocean. The technique utilizes the dynamics \textit{and} modes identified in ESMs…

Atmospheric and Oceanic Physics · Physics 2024-06-21 Derek DeSantis , Ayan Biswas , Earl Lawrence , Phillip Wolfram

This paper presents a novel signal processing technique, coined grid hopping, as well as an active multistatic Frequency-Modulated Continuous Wave (FMCW) radar system designed to evaluate its performance. The design of grid hopping is…

Signal Processing · Electrical Eng. & Systems 2023-08-01 Gilles Monnoyer , Thomas Feuillen , Maxime Drouguet , Laurent Jacques , Luc Vandendorpe

Operational forecasting of the ionosphere remains a critical space weather challenge due to sparse observations, complex coupling across geospatial layers, and a growing need for timely, accurate predictions that support Global Navigation…

We develop the formalism for a PIM-based functional for stochastic tomography with a Kalman filter, in which the inversion problem associated with four-dimensional ionospheric stochastic tomography is regularized. For consistency, GPS data…

Geophysics · Physics 2009-10-31 Giulio Ruffini , Lidia Cucurull , Alex Flores , Antonio Rius

The correction map method means extended phase-space algorithm with correction map. In our research, we have developed a correction map method, specifically the dissipated correction map method with trapezoidal rule, for numerical…

Instrumentation and Methods for Astrophysics · Physics 2024-09-25 Junjie Luo , Hong-Hao Zhang , Weipeng Lin

Millimeter-wave radar provides robust perception in visually degraded environments. However, radar-inertial state estimation is inherently susceptible to drift. Because radar yields only sparse, body-frame velocity measurements, it provides…

Robotics · Computer Science 2026-03-17 Ali Alridha Abdulkarim , Mikhail Litvinov , Dzmitry Tsetserukou

The immersed interface method (IIM) for models of fluid flow and fluid-structure interaction imposes jump conditions that capture stress discontinuities generated by forces that are concentrated along immersed boundaries. Most prior work…

Numerical Analysis · Mathematics 2025-06-04 Michael J. Facci , Ebrahim M. Kolahdouz , Boyce E. Griffith

A key challenge in scaling Gaussian Process (GP) regression to massive datasets is that exact inference requires computation with a dense n x n kernel matrix, where n is the number of data points. Significant work focuses on approximating…

Machine Learning · Computer Science 2021-08-16 Mohit Yadav , Daniel Sheldon , Cameron Musco

Inertial measurement units (IMUs) increasingly function as a basic component of wearable sensor network (WSN)systems. IMU-based joint angle estimation (JAE) is a relatively typical usage of IMUs, with extensive applications. However, the…

Signal Processing · Electrical Eng. & Systems 2021-06-10 Chunzhi Yi , Feng Jiang , Baichun Wei , Chifu Yang , Zhen Ding , Jubo Jin , Jie Liu

Robotic applications are continuously striving towards higher levels of autonomy. To achieve that goal, a highly robust and accurate state estimation is indispensable. Combining visual and inertial sensor modalities has proven to yield…

Robotics · Computer Science 2022-08-02 Simon Boche , Xingxing Zuo , Simon Schaefer , Stefan Leutenegger

In this paper, we propose a multiscale empirical interpolation method for solving nonlinear multiscale partial differential equations. The proposed method combines empirical interpolation techniques and local multiscale methods, such as the…

Numerical Analysis · Mathematics 2014-07-02 Victor Calo , Yalchin Efendiev , Juan Galvis , Mehdi Ghommem

Verification of global high-resolution precipitation forecasts is challenging. Spatial verification techniques address some shortcomings of traditional verification. However most existing methods do not account for the non-planar geometry…

Atmospheric and Oceanic Physics · Physics 2025-05-28 Gregor Skok , Llorenç Lledó

The sensitivity of ground-based gravitational wave (GW) detectors will be improved in the future via the injection of frequency-dependent squeezed vacuum. The achievable improvement is ultimately limited by losses of the interferometer…

Instrumentation and Detectors · Physics 2020-06-10 Antonio Perreca , Aidan Brooks , Jonathan Richardson , Daniel Toyra , Rory Smith

With the recent boost in autonomous driving, increased attention has been paid on radars as an input for occupancy mapping. Besides their many benefits, the inference of occupied space based on radar detections is notoriously difficult…

Robotics · Computer Science 2020-12-04 Daniel Bauer , Lars Kuhnert , Lutz Eckstein

New implicit and implicit-explicit time-stepping methods for the wave equation in second-order form are described with application to two and three-dimensional problems discretized on overset grids. The implicit schemes are single step,…

Numerical Analysis · Mathematics 2024-04-24 Allison M. Carson , Jeffrey W. Banks , William D. Henshaw , Donald W. Schwendeman

Applications of satellite data in areas such as weather tracking and modeling, ecosystem monitoring, wildfire detection, and land-cover change are heavily dependent on the trade-offs to spatial, spectral and temporal resolutions of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Thomas Vandal , Ramakrishna Nemani