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Point control of the interpolating curve with a rational cubic spline

โœ Scribed by Fangxun Bao; Qinghua Sun; Qi Duan


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
249 KB
Volume
20
Category
Article
ISSN
1047-3203

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๐Ÿ“œ SIMILAR VOLUMES


Local control of interpolating rational
โœ Qi Duan; Fangxun Bao; Shitian Du; E.H. Twizell ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 851 KB

A rational spline based on function values only was constructed in the authors' earlier works. This paper deals with the properties of the interpolation and the local control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at

Point control of rational interpolating
โœ Fangxun Bao; Qinghua Sun; Jianxun Pan; Qi Duan ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 337 KB

A rational cubic spline, a kind of smooth interpolator with cubic denominator, is constructed using function values and first derivatives of a function. In order to meet the needs of practical design, a new method of value control, inflection-point control and convexity control of the interpolation

The density of rational points on a cert
โœ T.D. Browning ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 332 KB

We show that the number of nontrivial rational points of height at most B, which lie on the cubic surface x 1 x 2 x 3 = x 4 (x 1 + x 2 + x 3 ) 2 , has order of magnitude B(log B) 6 . This agrees with Manin's conjecture.