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Weighted least squares collocation methods [PDF]

Applied Numerical Mathematics
We consider overdetermined collocation methods and propose a weighted least squares approach to derive a numerical solution. The discrete problem requires the evaluation of the Jacobian of the vector field which, however, appears in a O(h) term, h being ...
Luigi Brugnano, Felice Iavernaro, Ewa B Weinmüller   +2 more
exaly   +7 more sources

Estimation and Prediction of Vertical Deformations of Random Surfaces, Applying the Total Least Squares Collocation Method [PDF]

Sensors, 2020
This paper proposes a method for determining the vertical deformations treated as random fields. It is assumed that the monitored surfaces are subject not only to deterministic deformations, but also to random fluctuations.
Zbigniew Wiśniewski, Waldemar Kamiński
doaj   +2 more sources

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.
Teunissen, Peter
core   +3 more sources

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, Belyaev Vasiliy, Golushko Sergey, Idimeshev Semyon   +3 more
doaj   +3 more sources

Least Squares Collocation Alternative to Helmert’s Transformation with Hausbrandt’s Post – Transformation Correction

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
doaj   +3 more sources

Least squares collocation method in Moho depth determination in Iran using gravity gradient data [PDF]

Heliyon
In this study, an approach using gravity observations utilizing the Least Squares Collocation (LSC) method is developed with the aim of mapping the depth spatial variability of the Mohorovičić discontinuity.
Hadi Heydarizadeh Shali, Carlo Iapige De Gaetani, Riccardo Barzaghi, Sabah Ramouz, Abdolreza Safari, Barbara Betti, Zohreh Abbasi Hafshejani   +6 more
doaj   +2 more sources

IG-LSPIA: Least Squares Progressive Iterative Approximation for Isogeometric Collocation Method

Mathematics, 2023
The isogeometric collocation method (IGA-C), which is a promising branch of isogeometric analysis (IGA), can be considered fitting the load function with the combination of the numerical solution and its derivatives.
Yini Jiang, Hongwei Lin
doaj   +2 more sources

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.
Kubáček, Lubomír, Kubáčková, Ludmila   +1 more
core   +2 more sources

Isogeometric Least-Squares Collocation Method with Consistency and Convergence Analysis [PDF]

Journal of Systems Science and Complexity, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongwei Lin, Yunyang Xiong, Qianqian Hu   +2 more
exaly   +3 more sources

The connection of an old geodetic datum with a new one using Least Squares Collocation: The Greek case

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, Stavros MELACHROINOS   +1 more
doaj   +2 more sources