The approximation power of moving least-squares
Mathematics of Computation
Error estimates for moving least square approximations
Applied Numerical Mathematics
Error Estimates in Sobolev Spaces for Moving Least Square Approximations
SIAM Journal on Numerical Analysis
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
Good quality point sets and error estimates for moving least square approximations
Applied Numerical Mathematics - Special issue on applied and computational mathematics: Selected papers of the fourth PanAmerican workshop
Computers & Mathematics with Applications
Applied Numerical Mathematics
A boundary-only meshless method for numerical solution of the Eikonal equation
Computational Mechanics
Journal of Computational and Applied Mathematics
The regularization method for Fredholm integral equations of the first kind
Computers & Mathematics with Applications
The spectral methods for parabolic Volterra integro-differential equations
Journal of Computational and Applied Mathematics
Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
Applied Numerical Mathematics
Applied Numerical Mathematics
The numerical solution of the non-linear integro-differential equations based on the meshless method
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
A generalized moving least square reproducing kernel method
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
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This article describes a numerical scheme based on the moving least squares (MLS) method for solving integral equations in one- and two-dimensional spaces. For the MLS, nodal points spread over the analyzed domain, are utilized to approximate the unknown physical quantities. The method is a meshless method, since it does not require any background interpolation or approximation cells and it dose not depend to the geometry of domain. Thus for the two-dimensional Fredholm integral equation, a non-rectangular domain can be considered. Error analysis is provided for the new method. The proposed scheme is simple and computationally attractive. Applications are demonstrated through illustrative examples.