Results 241 to 250 of about 2,125 (287)

Least‐squares collocation

Reviews of Geophysics, 1978
Least‐squares collocation is a mathematical technique for determining the earth's figure and gravitational field by a combination of heterogeneous data of different kinds. The same formulas may be interpreted in very different ways: as the solution of a geophysical inverse problem, as a statistical estimation method combining least‐squares adjustment ...
Helmut Moritz
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Least-Squares Spectral Collocation for the Navier–Stokes Equations

Journal of Scientific Computing, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wilhelm Heinrichs
exaly   +3 more sources

A model comparison in least squares collocation

Bulletin Géodésique, 1976
The well known least squares collocation model (I) $$\ell = Ax + \left[ {\begin{array}{*{20}c} O \\ I \\ \end{array} } \right]^T \left[ {\begin{array}{*{20}c} s \\ {s' + n} \\ \end{array} } \right]$$ is compared with the model
Rummel, R. (Reiner), 1945-
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Nonstationary Least-Squares Collocation [PDF]

Many geodesists worldwide deal with the modelling of functions to approximate or interpolate measured data. For this purpose, a functional model is usually set up and adjusted by parameters so that it fits as precisely as possible to the data. One of the most important questions is how to select the functions of the model.
Korte, Johannes Dietrich Friedrich
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Developments in the Implementation and Use of Least-Squares Collocation

International Association of Geodesy Symposia, 2015
The method of Least-Squares Collocation (LSC) was developed in the 1960s based on theoretical advances by T. Krarup and H. Moritz. The method may be used for the determination of approximations to the anomalous gravity potential (T) and associated parameters like biases or tilts.
C C Tscherning, Tscherning C C
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Least-Squares Collocation as a Gravitational Inverse Problem.

, 1976
Abstract : The report compares least-squares collocation methods for determining the earth's gravitational field with geophysical inversion techniques. Both are underdetermined problems with strong structural similarities. Collocation is also considered from the point of view of representing the external gravitational field by means of analytic ...
Moritz, Helmut, 1933-
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Least squares collocation solution of elliptic problems in general regions

Mathematics and Computers in Simulation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Víctor Pereyra, Godela Scherer
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The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem

Numerical Methods for Partial Differential Equations, 2016
The Legendre Galerkin Chebyshev Collocation Least Squares for the Elliptic ...
Yonghui Qin, Heping Ma
exaly   +1 more source

Least squares collocation and regularization

Bulletin Géodésique, 1979
Certain geodetic problems such as the downward continuation of gravity information from satellite or aerial altitudes to the surface of the earth or the inverse Stokes problem are improperly posed in the sense that the best approximate solution does not continuously depend on the given observations.
R. Rummel, K. -P. Schwarz, M. Gerstl
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A review of non-stationary spatial methods for geodetic least-squares collocation [PDF]

Journal of Spatial Science, 2010
This paper reviews a field that is herein termed spatial ?non-stationarity?, which is specifically concerned with non-stationarity in the geodetic theory of least-squares collocation (LSC).
W E Featherstone
exaly   +2 more sources