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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 note on piecewise linear and multilinear table interpolation in many dimensions
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by Alan Weiser and Sergio E. Zarantonello PDF
Math. Comp. 50 (1988), 189-196 Request permission

Abstract:

This note is concerned with N-dimensional rectangular table interpolation, where N is relatively large (4 to 10). Two interpolants are considered: a piecewise multilinear generalization of piecewise bilinear interpolation on rectangles, and a piecewise linear generalization of piecewise linear interpolation on triangles. We show that the two interpolants have similar approximation properties, but the piecewise linear interpolant is much cheaper to evaluate.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Math. Comp. 50 (1988), 189-196
  • MSC: Primary 65D05; Secondary 65D15
  • DOI: https://doi.org/10.1090/S0025-5718-1988-0917826-0
  • MathSciNet review: 917826