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Accurate monotone cubic interpolationMonotone piecewise cubic interpolants are simple and effective. They are generally third-order accurate, except near strict local extrema where accuracy degenerates to second-order due to the monotonicity constraint. Algorithms for piecewise cubic interpolants, which preserve monotonicity as well as uniform third and fourth-order accuracy are presented. The gain of accuracy is obtained by relaxing the monotonicity constraint in a geometric framework in which the median function plays a crucial role.
Document ID
19910011517
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Huynh, Hung T.
(NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
September 6, 2013
Publication Date
March 1, 1991
Subject Category
Numerical Analysis
Report/Patent Number
E-6066
NASA-TM-103789
NAS 1.15:103789
Accession Number
91N20830
Funding Number(s)
PROJECT: RTOP 505-62-52
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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