| 一类广义四阶插值样条 |
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| 引用本文： | 陶辅周,李旭伟.一类广义四阶插值样条[J].四川大学学报(自然科学版),1990,27(1):10-15. |
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| 作者姓名： | 陶辅周 李旭伟 |
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| 作者单位： | 四川大学数学系
(陶辅周)，四川大学数学系(李旭伟) |
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| 摘 要： | 讨论了以微分方程(ρ~(-1)(x)y″(x))″=0(ρ(x)>0,ρ(x)∈C(a.b])的一组基本解作为插值基底的广义四阶插值样条(四阶微分算子样条),建立了它的变分性质及广义的第一、二积分关系式,因此容易得到误差估计.对于ρ(x)的不同选取可以得到不同的非多项式样条.
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| 关 键 词： | 插值 样条 数值逼值 误差估计 |
A CLASS OF GENERALIZED 4-ORDER INTERPOLATION SPLINES |
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| Tao Fuzhou Li Xuwei.A CLASS OF GENERALIZED 4-ORDER INTERPOLATION SPLINES[J].Journal of Sichuan University (Natural Science Edition),1990,27(1):10-15. |
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| Authors: | Tao Fuzhou Li Xuwei |
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| Institution: | Department of mathematics |
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| Abstract: | Authors discussed a class of generalized 4-order interpolation splines (4-order differential operator splines) which applied a system of fundametal solutions of the differential equation as interpolation bases, and established its variational properties, generalized first and second integral expressions, so obtained the error estimation easily. And can obtain different polynomial splines for different choices of p(x). |
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| Keywords: | spline interpolation error estimation numerical approximation |
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