the 38th Iranian International Conference on Mathematic . , 2007-09-03

Title : ( A NEW NUMERICAL METHOD FOR INTERPOLATING CUBIC SPLINE FUNCTIONS WITH CLAMPED BOUNDARY CONDITION )

Authors: Sohrab Effati ,

Citation: BibTeX | EndNote

Abstract. In this paper, we introduce a new technique for determining in- terpolating cubic spline functions with clamped boundary condition. By in- troducing an arti¯cial cost functional and use the important minimum-norm property of spline functions, the problem is modi¯ed into one consisting of the minimization of a positive linear functional over a set of Radon measures. Then we obtain an optimal measure which is approximated by a ¯nite com- bination of atomic measures, and by using atomic measures we change this one to a ¯nite dimensional linear programming problem. Finally we ¯nd a piecewise constant optimal control function on every subinterval and then the approximated interpolating cubic spline functions. Some examples are given show the procedure.

Keywords

, Spline function, Measure theory, optimal
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@inproceedings{paperid:1009411,
author = {Effati, Sohrab},
title = {A NEW NUMERICAL METHOD FOR INTERPOLATING CUBIC SPLINE FUNCTIONS WITH CLAMPED BOUNDARY CONDITION},
booktitle = {the 38th Iranian International Conference on Mathematic .},
year = {2007},
location = {زنجان, IRAN},
keywords = {Spline function; Measure theory; optimal control},
}

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%0 Conference Proceedings
%T A NEW NUMERICAL METHOD FOR INTERPOLATING CUBIC SPLINE FUNCTIONS WITH CLAMPED BOUNDARY CONDITION
%A Effati, Sohrab
%J the 38th Iranian International Conference on Mathematic .
%D 2007

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