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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Surfaces generated by moving least squares methods
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by P. Lancaster and K. Salkauskas PDF
Math. Comp. 37 (1981), 141-158 Request permission

Abstract:

An analysis of moving least squares (m.l.s.) methods for smoothing and interpolating scattered data is presented. In particular, theorems are proved concerning the smoothness of interpolants and the description of m.l.s. processes as projection methods. Some properties of compositions of the m.l.s. projector, with projectors associated with finiteelement schemes, are also considered. The analysis is accompanied by examples of univariate and bivariate problems.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 141-158
  • MSC: Primary 65D05; Secondary 41A05, 41A63
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0616367-1
  • MathSciNet review: 616367