{ "id": "1501.04969", "version": "v1", "published": "2015-01-20T21:01:24.000Z", "updated": "2015-01-20T21:01:24.000Z", "title": "Analysis of moving least squares approximation revisited", "authors": [ "Davoud Mirzaei" ], "comment": "Journal of Computational and Applied Mathematics, 2015 Journal of Computational and Applied Mathematics", "doi": "10.1016/j.cam.2015.01.007", "categories": [ "math.NA" ], "abstract": "In this article the error estimation of the moving least squares approximation is provided for functions in fractional order Sobolev spaces. The analysis presented in this paper extends the previous estimations and explains some unnoticed mathematical details. An application to Galerkin method for partial differential equations is also supplied.", "revisions": [ { "version": "v1", "updated": "2015-01-20T21:01:24.000Z" } ], "analyses": { "keywords": [ "squares approximation", "fractional order sobolev spaces", "partial differential equations", "galerkin method", "paper extends" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }