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New Possibilities and Applications of the Least Squares Collocation Method
EPJ Web of Conferences, 2018 Least squares collocation method (LSC) is a versatile numerical method for solving boundary value problems for PDE. The present article demonstrates the abilities of LSC to solve various problems – in particular, calculations of bending of isotropic ...
Shapeev Vasiliy +3 more
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Reports on Geodesy and Geoinformatics, 2015 The paper presents a least squares collocation - based alternative to Helmert’s transformation with Hausbrandt’s post – transformation correction. The least squares collocation is used as an exact predictor i.e.
Ligas Marcin, Banasik Piotr
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Least-Squares Collocation With Integer Parameters [PDF]
Artificial Satellites, 2006 The prediction of spatially and/or temporal varying variates based on observations of these variates at some locations in space and/or instances in time, is an important topic in the various spatial and Earth sciences disciplines. This topic has been extensively studied, albeit under different names.
Teunissen, Peter
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Contributions to Geophysics and Geodesy, 2017 In the present paper we are dealing with the problem of the connection of two local geodetic datums in which the classical transformation procedures fail to give sufficient solution.
Dimitrios AMPATZIDIS +1 more
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Mathematics, 2020 In regression analysis, oftentimes a linear (or linearized) Gauss-Markov Model (GMM) is used to describe the relationship between certain unknown parameters and measurements taken to learn about them.
Burkhard Schaffrin
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On the uncertainty of height anomaly differences predicted by least-squares collocation
Journal of Geodetic Science, 2020 A network of pointwise available height anomalies, derived from levelling and GPS observations, can be densified by adjusting a gravimetric quasigeoid using least-squares collocation.
Mysen E.
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Volterra Black-Box Models Identification Methods: Direct Collocation vs. Least Squares
MathematicsThe Volterra integral-functional series is the classic approach for nonlinear black box dynamical system modeling. It is widely employed in many domains including radiophysics, aerodynamics, electronic and electrical engineering and many others ...
Denis Sidorov +3 more
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Modeling of Inhomogeneous Spatio-Temporal Signals by Least Squares Collocation
, 2023 AbstractThrough inverse modeling and adjustment techniques, the geodesists try to derive mathematical models from their measurements to get a better understanding of various processes in the system Earth. Sophisticated deterministic and stochastic models are developed to achieve the best possible reflection of reality and the remaining uncertainty.The ...
Schuh, Wolf-Dieter +3 more
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Generalized method of least squares collocation [PDF]
Applications of Mathematics, 1982 summary:Two general solutions of the collocation problem of physical geodesy are given. Their mutual equivalency and equivalency of them to the classical solution in the regular case are proved.
Kubackova, Ludmila, Kubacek, Lubomir
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A High-Resolution Gravimetric Geoid Model for Kuwait Using the Least-Squares Collocation
Frontiers in Earth Science, 2022 A new gravimetric geoid model, the KW-FLGM2021, is developed for Kuwait in this study. This new geoid model is driven by a combination of the XGM2019e-combined global geopotential model (GGM), terrestrial gravity, and the SRTM 3 global digital elevation ...
Hamad Al-Ajami +4 more
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