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Mathematics of Computation

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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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Article copyright: © Copyright 1988 American Mathematical Society