A NOTE ON MONOTONE PIECEWISE CUBIC SPLINE
碩士 === 逢甲大學 === 應用數學研究所 === 82 === A physical quantity is often known to have a certain behav- iour, monotonic increasing (or decreasing), as a function of other quantities. Thus, there is a need for algorithms which preserving the monotoni...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
1994
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| Online Access: | http://ndltd.ncl.edu.tw/handle/83784414626315526206 |
| Summary: | 碩士 === 逢甲大學 === 應用數學研究所 === 82 === A physical quantity is often known to have a certain behav-
iour, monotonic increasing (or decreasing), as a function of
other quantities. Thus, there is a need for algorithms which
preserving the monotonicity properties of the monotonic data as
well as producing physically reasonable curves and surfaces.
Fritsch and Carlson [4] derived necessary and sufficient
conditions for a cubic spline to be monotonic from a set of
monotonic data. Those conditions may form a basis for developi-
ng a numerical method to produce a monotonic interpolation and
represent approximately the physical reality.
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