NDLI: Theory, computation, and application of exponential splines

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Theory, computation, and application of exponential splines

Content Provider	NASA Technical Reports Server (NTRS)
Author	McCartin, B. J.
Copyright Year	1981
Description	A generalization of the semiclassical cubic spline known in the literature as the exponential spline is discussed. In actuality, the exponential spline represents a continuum of interpolants ranging from the cubic spline to the linear spline. A particular member of this family is uniquely specified by the choice of certain tension parameters. The theoretical underpinnings of the exponential spline are outlined. This development roughly parallels the existing theory for cubic splines. The primary extension lies in the ability of the exponential spline to preserve convexity and monotonicity present in the data. Next, the numerical computation of the exponential spline is discussed. A variety of numerical devices are employed to produce a stable and robust algorithm. An algorithm for the selection of tension parameters that will produce a shape preserving approximant is developed. A sequence of selected curve-fitting examples are presented which clearly demonstrate the advantages of exponential splines over cubic splines.
File Size	11239312
Page Count	311
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19820019188
Archival Resource Key	ark:/13960/t0qr9n658
Language	English
Publisher Date	1981-10-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Algorithms Monotone Functions Partial Differential Equations Computational Fluid Dynamics Computation Problem Solving Spline Functions Exponential Functions Curve Fitting Power Series Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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