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Mathematics of Computation

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Alternatives to the exponential spline in tension


Author: Steven Pruess
Journal: Math. Comp. 33 (1979), 1273-1281
MSC: Primary 65D07
DOI: https://doi.org/10.1090/S0025-5718-1979-0537971-6
MathSciNet review: 537971
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Abstract: A general setting is given for smooth interpolating splines depending on a parameter such that as this parameter approaches infinity the spline converges to the piecewise linear interpolant. The theory includes the standard exponential spline in tension, a rational spline, and several cubic splines. An algorithm is given for one of the cubics; the parameter for this example controls the spacing of new knots which are introduced.


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DOI: https://doi.org/10.1090/S0025-5718-1979-0537971-6
Article copyright: © Copyright 1979 American Mathematical Society