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Piece-wise moving least squares approximation

Applied Numerical Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Li, Guohui Song, Guangming Yao
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Fast least-squares polynomial approximation in moving time windows

1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002
Only a few time series methods are applicable to signal trend analysis under real-time conditions. The use of orthogonal polynomials for least-squares approximations on discrete data turned out to be very efficient for providing estimators in the time domain.
Erich Fuchs, Klaus Donner
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Adaptive Moving Least Square Approximations and Its Application

AIP Conference Proceedings, 2010
In Moving Least Square approximation, the nodal connectivity varies from point to point depending upon the domain of influence. Widely accepted rules about how to choose radius of influence do not exist. Since radius of influence will greatly effect the numerical accuracy, especially for high gradient and fast oscillatory problem.
Yuan Zhanbin   +6 more
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Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations

Engineering with Computers, 2019
The main aim of this paper is to present new and simple numerical methods for solving the time-dependent transport equation on the sphere in spherical coordinates. We use two techniques, namely generalized moving least squares and moving kriging least squares to find the new formulations for approximating the advection operator in spherical coordinates
Vahid Mohammadi   +3 more
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Error Estimates in Sobolev Spaces for Moving Least Square Approximations

SIAM Journal on Numerical Analysis, 2001
Let \(\Omega\) be a convex set in \(\mathbb{R}^N\) and let \(\xi_{1}, \xi_{2},\dots,\xi_{n}\) be given points in \(\Omega\). Furthermore let \(\Phi_{R}\) be a function with values in \([0,1]\) and support in the ball \(\{ z|\|z\|\leq R \}\). Denote by \(\mathcal{P}_{m}\) the set of polynomials of degree \(m\) or less and \(s\) its dimension. Let \(p_{1}
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Error estimates for moving least square approximations

Bulletin of the Brazilian Mathematical Society, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Complex variable moving least‐squares method: a meshless approximation technique

International Journal for Numerical Methods in Engineering, 2006
AbstractBased on the moving least‐squares (MLS) approximation, we propose a new approximation method—the complex variable moving least‐squares (CVMLS) approximation. With the CVMLS approximation, the trial function of a two‐dimensional problem is formed with a one‐dimensional basis function.
Liew, K. M.   +3 more
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Hybrid model of moving Least-Square Approximation in wireless networks

2010 International Conference on Computer Application and System Modeling (ICCASM 2010), 2010
An adaptive handover algorithm for wireless communication systems is addressed in this paper. Moving from the Generalized Extended Least Square handover algorithm proposed in [1], we model the handover mechanism as a hybrid system, and we include it in a dynamic optimization problem which is solved through the use of a trellis diagram.
null Jie Liu   +4 more
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Virtual boundary meshless least square integral method with moving least squares approximation for 2D elastic problem

Engineering Analysis with Boundary Elements, 2013
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Yang, Dong-Sheng, Xu, Qiang
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Local integration of population dynamics via moving least squares approximation

Engineering with Computers, 2015
This paper applies an approach based on the Galerkin and collocation methods so-called meshless local Petrov---Galerkin (MLPG) method to treat a nonlinear partial integro-differential equation arising in population dynamics. In the proposed method, the MLPG method is applied to the interior nodes while the meshless collocation method is used for the ...
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