A Smoothening Method for the Piecewise Linear Interpolation
We propose a method to smoothen a piecewise linear interpolation at a small number of nodes on a bounded interval. The method employs a sigmoidal type weight function having a property that clusters most points on the left side of the interval toward 0 and those on the right side toward 1. The...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/376362 |
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| Summary: | We propose a method to smoothen a piecewise linear interpolation
at a small number of nodes on a bounded interval.
The method employs a sigmoidal type weight function having a property that clusters most points on the left side
of the interval toward 0 and those on the right side toward 1.
The proposed method results in a noninterpolatory approximation which is
smooth over the whole interval.
We provide an algorithm for implementing
the presented smoothening method. To demonstrate usefulness of the presented method
we introduce some numerical examples and investigate the results. |
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| ISSN: | 1110-757X 1687-0042 |