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High-Sfrequency (HF) ray tracing in the complex ionospheric medium generally faces a fundamental trade-off between path accuracy and computational efficiency. This paper presents a high-fidelity Ray Tracing Method (RTM) synergistically…

Atmospheric and Oceanic Physics · Physics 2025-07-10 Qinglin Li , Wen Liu , Zhigang Zhang , Fengjuan Sun , Rong Chen , Zhongxin Deng , Zhiqiang Yao

We describe a method for removing ionospheric effects from single-frequency radio data a posteriori. This method is based on a theoretical climatological model developed by the USAF, which returns electron density as a function of position…

Astrophysics · Physics 2009-10-31 R. M. Campbell

Precise, consistent, and reliable positioning is crucial for a multitude of uses. In order to achieve high precision global positioning services, multi-sensor fusion techniques, such as the Global Navigation Satellite System (GNSS)/Inertial…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Bo Xu , Shoujian Zhang , Jingrong Wang , Jiancheng Li

Tsunamis can trigger internal gravity waves (IGWs) in the ionosphere, perturbing the Total Electron Content (TEC) - referred to as Traveling Ionospheric Disturbances (TIDs) that are detectable through the Global Navigation Satellite System…

Machine Learning · Computer Science 2023-08-10 Valentino Constantinou , Michela Ravanelli , Hamlin Liu , Jacob Bortnik

The ionosphere contributes time-varying Faraday Rotation (FR) to radio signals passing through it. Correction for the effect of the ionosphere is important for deriving magnetic field information from FR observations of polarized cosmic…

Instrumentation and Methods for Astrophysics · Physics 2018-06-08 J. B. Malins , S. M. White , G. B. Taylor , K. Stovall , J Dowell

The line-of-sight structure of the Galactic magnetic field (GMF) can be studied using Faraday rotation measure (RM) grids. We analyze how the choice of interpolation kernel can affect the accuracy and reliability of reconstructed RM maps.…

Instrumentation and Methods for Astrophysics · Physics 2024-12-24 Affan Khadir , Ayush Pandhi , Sebastian Hutschenreuter , Bryan Gaensler , Shannon Vanderwoude , Jennifer West , Shane O'Sullivan

In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite Element Method (GMsFEM), to reduce the computational…

Numerical Analysis · Mathematics 2023-07-19 Manal Alotaibi , Victor M. Calo , Yalchin Efendiev , Juan Galvis , Mehdi Ghommem

We present a statistical framework for estimating global navigation satellite system (GNSS) non-ionospheric differential time delay bias. The biases are estimated by examining differences of measured line integrated electron densities (TEC)…

Instrumentation and Methods for Astrophysics · Physics 2015-08-13 Juha Vierinen , Anthea J. Coster , William C. Rideout , Philip J. Erickson , Johannes Norberg

Approximating solutions of non-linear parametrized physical problems by interpolation presents a major challenge in terms of accuracy. In fact, pointwise interpolation of such solutions is rarely efficient and leads generally to incorrect…

Numerical Analysis · Mathematics 2024-12-20 M. Oulghelou , C. Allery

A diverse range of interpolation methods, including Kriging, spline/minimum curvature and radial basis function interpolation exist for interpolating spatially incomplete geoscientific data. Such methods use various spatial properties of…

Methodology · Statistics 2025-04-23 Arya Kimiaghalam , Andrei Swidinsky , Mohammad Parsa

Geospatial observational datasets are often limited to point measurements, making temporal prediction and spatial interpolation essential for constructing continuous fields. This study evaluates two deep learning strategies for addressing…

Machine Learning · Computer Science 2025-12-01 Anna Pazola , Mohammad Shamsudduha , Richard G. Taylor , Allan Tucker

Space weather and its impact on infrastructure presents a clear risk in the modern era, as evidenced by the adverse effects of geomagnetically induced currents (GICs) in power networks. To model GICs, ground-based geomagnetic field…

Space Physics · Physics 2022-03-21 M. J. Heyns , S. I. Lotz , P. J. Cilliers , C. T. Gaunt

Ionospheric effects degrade the quality of radar data, which are critical for the precision of the satellite ephemeris produced by space surveillance systems; this degradation is especially noticeable for radars such as GRAVES that operate…

The ionosphere critically influences Global Navigation Satellite Systems (GNSS), satellite communications, and Low Earth Orbit (LEO) operations, yet accurate prediction of its variability remains challenging due to nonlinear couplings…

This paper summarizes the electromagnetic time reversal (EMTR) technique for fault location, and further numerically validates its effectiveness when the fault impedance is negligible. In addition, a specific EMTR model considering the…

Signal Processing · Electrical Eng. & Systems 2021-12-13 Jianwei An , Chijie Zhuang , Farhad Rachidi , Rong Zeng

In this paper we develop the Greedy Recombination Interpolation Method (GRIM) for finding sparse approximations of functions initially given as linear combinations of some (large) number of simpler functions. In a similar spirit to the…

Numerical Analysis · Mathematics 2024-03-11 Terry Lyons , Andrew D. McLeod

We present the geospatial methods in conjunction with results of a newly developed storm surge and sub-grid inundation model which was applied in New York City during Hurricane Sandy in 2012. Sub-grid modeling takes a novel approach for…

Geophysics · Physics 2014-12-03 Jon Derek Loftis , Harry V. Wang , Stuart E. Hamilton , David R. Forrest

Global total water storage anomaly (TWSA) products derived from the Gravity Recovery and Climate Experiment (GRACE) and its Follow-On mission (GRACE-FO) are critical for hydrological research and water resource management. However,…

Geophysics · Physics 2025-04-14 Yu Gao , Wenyuan Zhang , Junyang Gou , Shubi Zhang , Yang Liu , Benedikt Soja

Iterative refinement methods based on a denoising-inversion cycle are powerful tools for enhancing the quality and control of diffusion models. However, their effectiveness is critically limited when combined with standard Classifier-Free…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Haosen Li , Wenshuo Chen , Shaofeng Liang , Lei Wang , Haozhe Jia , Yutao Yue

Probing magnetic fields in astrophysical environments is both important and challenging. The Gradient Technique (GT) is a new tool for tracing magnetic fields, rooted in the properties of magnetohydrodynamic (MHD) turbulence and turbulent…

Astrophysics of Galaxies · Physics 2024-06-18 Yue Hu , Alex Lazarian
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