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Modeling of Inhomogeneous Spatio-Temporal Signals by Least Squares Collocation
Through inverse modeling and adjustment techniques, the geodesists try to derive mathematical models from their measurements to get a better...
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Modelling and mitigation of GNSS multipath effects by least-squares collocation considering spatial autocorrelation
Multipath effects can lead to delays of centimeters in GNSS phase observations depending on the station environment. Those delays can seriously...
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A partition-enhanced least-squares collocation approach (PE-LSC)
We present a partition-enhanced least-squares collocation (PE-LSC) which comprises several modifications to the classical LSC method. It is our goal...
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MOHV21: a least squares combination of five global Moho depth models
The purpose of this study is to determine MOHV21, a Moho depth model based on an optimal combination of five global seismic and gravimetric-isostatic...
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HV-LSC-ex\(^2\): velocity field interpolation using extended least-squares collocation
Least-squares collocation (LSC) is a widely used method applied in physical geodesy to separate observations into a signal and noise part but has...
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Error propagation in regional geoid computation using spherical splines, least-squares collocation, and Stokes’s formula
Current International Association of Geodesy efforts within regional geoid determination include the comparison of different computation methods in...
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Efficient variance component estimation for large-scale least-squares problems in satellite geodesy
Efficient Variance Component Estimation (VCE) is significant to optimal data combination in large-scale least-squares problems as those encountered...
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Integration of airborne gravimetry data filtering into residual least-squares collocation: example from the 1 cm geoid experiment
Low-pass filters are commonly used for the processing of airborne gravity observations. In this paper, for the first time, we include the resulting...
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High-resolution geoid modeling using least squares modification of Stokes and Hotine formulas in Colorado
The Colorado geoid experiment was initiated and organized as a joint study by the Joint Working Group (JWG) 2.2.2 (1-cm geoid experiment) of the...
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Collocation and FFT-based geoid estimation within the Colorado 1 cm geoid experiment
In the frame of the International Association of Geodesy Joint Working Group 2.2.2 “The 1 cm geoid experiment”, terrestrial and airborne gravity...
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Residual least-squares collocation: use of covariance matrices from high-resolution global geopotential models
The paper presents a modified formulation of least-squares collocation. This residual least-squares collocation (RLSC) includes a...
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The Numerical Treatment of Covariance Stationary Processes in Least Squares Collocation
Digital sensors provide long series of equispaced and often strongly correlated measurements. A rigorous treatment of this huge set of correlated...
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IRG2018: A regional geoid model in Iran using Least Squares Collocation
The aim of this study is to determine an accurate geoid model for Iran based on the Least Squares Collocation method in the framework of the Remove —...
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Joint adjustment of strain rate fields and its application in shallow seismicity forecast in the Sichuan-Yunnan region, China
Calculation methods for large-scale strain rate fields from GNSS horizontal velocity can be divided into two types, namely mathematical and physical...
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Characterization and stabilization of the downward continuation problem for airborne gravity data
In this study, we compare six commonly used methods for the downward continuation of airborne gravity data. We consider exact and noisy simulated...
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Towards the tropospheric ties in the GPS, DORIS, and VLBI combination analysis during CONT14
In space geodetic data analysis, improving tropospheric delay modelling is motivated by the correlation between tropospheric zenith total delay (ZTD)...
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Spatio-Spectral Assessment of Some Isotropic Polynomial Covariance Functions on the Sphere
In gravity field modeling, covariance functions are mainly associated with least squares collocation. Prior to the implementation of least squares...
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Regional Gravity Model of Greece Based on Satellite, Marine and Terrestrial Data
Greece is a country structured by land, several islands and sea. A regional gravity model of such a country demands the involvement of several types...
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Correction to: On the equivalence of spherical splines with least-squares collocation and Stokes’s formula for regional geoid computation
The authors would like to apologize to the editor and readers for a bug in the numerical implementation of the formula for the initial guess on the...
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A Moving Least Squares Based Meshless Element-Free Galerkin Method for the Coupled Simulation of Groundwater Flow and Contaminant Transport in an Aquifer
In this study, a meshless simulation model based on the element-free Galerkin method (EFGM) is proposed for the coupled simulation of groundwater...
