NTCC Modules Library

Melkes

Abstract
The Melkes routines may be used for polynomial interpolation based on data given on the vertices of a box in an arbitrary number of dimensions. The data may be function values only, or function values and gradients, or function values, gradients and Hessians. Routines are supplied to evaluate only the interpolant, or the interpolant and its gradient, or the interpolant, its gradient and its Hessian. The interpolating polynomial for Melkes interpolation may be described as a reduced Hermite polynomial --- reduced by comparison with the full tensor product form. A precise mathematical description follows; note that this describes the extension to an arbitrary number of dimensions of what is called "Type-II" interpolation in Melkes's original paper.
DateOfInformation
Thr Jun 18 16:54:47 2009
Domain
Numerical Tools
Keyword
interpolation, Hermite polynomial
Language
Fortran 90
Name
Melkes
TargetEnvironment
AIX, IRIX62, Linux Intel, Linux Alpha, OSF1, SunOS, Unicos10/11/2001
VersionDate
10/11/2001
Webpage
http://w3.pppl.gov/NTCC/Melkes
ContactIs
Bas Braams

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