Mathematics of Computation

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

 

 

A note on piecewise linear and multilinear table interpolation in many dimensions


Authors: Alan Weiser and Sergio E. Zarantonello
Journal: Math. Comp. 50 (1988), 189-196
MSC: Primary 65D05; Secondary 65D15
MathSciNet review: 917826
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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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DOI: http://dx.doi.org/10.1090/S0025-5718-1988-0917826-0
Article copyright: © Copyright 1988 American Mathematical Society