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Meshless Finite Difference Operators from Moving Least Squares Interpolation: Applications to PDEs and Convergence Results
Author(s) -
Nowak Oliver
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810847
Subject(s) - interpolation (computer graphics) , convergence (economics) , moving least squares , mathematics , finite difference , derivative (finance) , least squares function approximation , mathematical analysis , computer science , statistics , artificial intelligence , motion (physics) , estimator , financial economics , economics , economic growth
We give a brief introduction to moving least squares interpolation, which is followed by some reflections on the construction of meshless finite difference operators for derivative approximation and present finally a Korovkin–type convergence result for the pure interpolation approach. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)