Polar Motion Prediction by the Least-Squares Collocation Method

1990 ◽  
pp. 50-57 ◽  
Author(s):  
Hozakowski Włodzimierz
Keyword(s):  
Least Squares ◽  
Collocation Method ◽  
Polar Motion ◽  
Motion Prediction ◽  
Least Squares Collocation ◽  
Polar Motion Prediction

scholarly journals The least-squares collocation method in the mechanics of deformable solids

2021 ◽  
Vol 1715 ◽  
pp. 012029
Author(s):  
Sergey Golushko ◽  
Vasily Shapeev ◽  
Vasily Belyaev ◽  
Luka Bryndin ◽  
Artem Boltaev ◽  
...  
Keyword(s):  
Least Squares ◽  
Collocation Method ◽  
Least Squares Collocation ◽  
Deformable Solids ◽  
Mechanics Of Deformable Solids

scholarly journals Polar motion from ILS observations with least-squares collocation

1988 ◽  
Vol 128 ◽  
pp. 215-220
Author(s):  
R. Verbeiren
Keyword(s):  
Least Squares ◽  
Observational Data ◽  
Polar Motion ◽  
Parameter Determination ◽  
Large Set ◽  
Powerful Method ◽  
Least Squares Collocation ◽  
Computational Step

Least-squares collocation is a powerful method for combining interpolation, filtering and parameter determination in one single computational step. We show that the method is applicable to the computation of polar motion values from a very large set of basic observational data. In this study, we use the ILS observations from 1900 to 1978.

Selecting data for autoregressive modeling in polar motion prediction

2019 ◽  
Vol 54 (4) ◽  
pp. 557-566 ◽  
Author(s):  
Fei Wu ◽  
Guobin Chang ◽  
Kazhong Deng ◽  
Wuyong Tao
Keyword(s):  
Polar Motion ◽  
Motion Prediction ◽  
Autoregressive Modeling ◽  
Polar Motion Prediction

Numerical solutions of the GEW equation using MLS collocation method

2017 ◽  
Vol 28 (01) ◽  
pp. 1750011
Author(s):  
Ayşe Gül Kaplan ◽  
Yılmaz Dereli
Keyword(s):  
Least Squares ◽  
Collocation Method ◽  
Solitary Waves ◽  
Numerical Solutions ◽  
Rates Of Convergence ◽  
Numerical Results ◽  
Moving Least Squares ◽  
Test Problems ◽  
Least Squares Collocation ◽  
Energy And Momentum

In this paper, the generalized equal width wave (GEW) equation is solved by using moving least squares collocation (MLSC) method. To test the accuracy of the method some numerical experiments are presented. The motion of single solitary waves, the interaction of two solitary waves and the Maxwellian initial condition problems are chosen as test problems. For the single solitary wave motion whose analytical solution was known [Formula: see text], [Formula: see text] error norms and pointwise rates of convergence were calculated. Also mass, energy and momentum invariants were calculated for every test problems. Obtained numerical results are compared with some earlier works. It is seen that the method is very efficient and reliable due to obtained numerical results are very satisfactorily. Stability analysis of difference equation was done by applying the moving least squares collocation method for GEW equation.

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