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A variational approach to splines

Published online by Cambridge University Press:  17 February 2009

R. Champion ,
C. T. Lenard  and
T. M. Mills
R. Champion
Affiliation:
Division of Mathematics, La Trobe University, PO Box 199, Bendigo 3552, Australia.
C. T. Lenard
Affiliation:
Division of Mathematics, La Trobe University, PO Box 199, Bendigo 3552, Australia.
T. M. Mills
Affiliation:
Division of Mathematics, La Trobe University, PO Box 199, Bendigo 3552, Australia.
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Abstract

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This is an expository paper in which we present an introduction to a variational approach to spline interpolation. We present a sequence of theorems which starts with Holladay's classical result concerning natural cubic splines and culminates in some general abstract results.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 1 , July 2000 , pp. 119 - 135
Copyright
Copyright © Australian Mathematical Society 2000

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