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
International Journal of Computer Mathematics
Mathematics and Computers in Simulation
A Galerkin boundary node method and its convergence analysis
Journal of Computational and Applied Mathematics
Moving least squares response surface approximation: Formulation and metal forming applications
Computers and Structures
Computers & Mathematics with Applications
A meshless based method for solution of integral equations
Applied Numerical Mathematics
International Journal of Computer Mathematics
A boundary-only meshless method for numerical solution of the Eikonal equation
Computational Mechanics
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
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This article investigates the numerical solution of the nonlinear integro-differential equations. The numerical scheme developed in the current paper is based on the moving least square method. The moving least square methodology is an effective technique for the approximation of an unknown function by using a set of disordered data. It consists of a local weighted least square fitting, valid on a small neighborhood of a point and only based on the information provided by its n closet points. Hence the method is a meshless method and does not need any background mesh or cell structures. The error analysis of the proposed method is provided. The validity and efficiency of the new method are demonstrated through several tests.