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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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A method for interpolating scattered data based upon a minimum norm network
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by Gregory M. Nielson PDF
Math. Comp. 40 (1983), 253-271 Request permission


A method for interpolating scattered data is described. Given $({x_i},{y_i},{z_i}),i = 1, \ldots , N$, a bivariate function S with continuous first order partial derivatives is defined which has the property that $S({x_i},{y_i}) = {z_i},i = 1, \ldots ,N$. The method is based upon a triangulation of the domain and a curve network which has certain minimum pseudonorm properties. Algorithms and examples are included.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 253-271
  • MSC: Primary 65D05; Secondary 41A05, 65D07
  • DOI:
  • MathSciNet review: 679444