| 一类三次样条插值与积分方程配置解 |
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| 引用本文： | 向朝进.一类三次样条插值与积分方程配置解[J].四川大学学报(自然科学版),1989,26(1):14-20. |
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| 作者姓名： | 向朝进 |
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| 摘 要： | 改进了1—2]和9]的结果,给出了一类三次样条插值法,建立了积分方程的三次样条配置方程,讨论了配置解的存在唯一性及稳定性,得到了三次样条插值及相应积分方程配置解的误差估计及误差的渐近表达式。
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| 关 键 词： | 三次样条 插值 配置解 积分方程 |
THE CUBIC INTERPOLATION SPLINE AND THE COLLOCATION METHOD FOR INTEGRAL EQUATIONS |
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| Xiang Chaojin.THE CUBIC INTERPOLATION SPLINE AND THE COLLOCATION METHOD FOR INTEGRAL EQUATIONS[J].Journal of Sichuan University (Natural Science Edition),1989,26(1):14-20. |
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| Authors: | Xiang Chaojin |
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| Institution: | Xiang Chaojin |
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| Abstract: | In this paper, the results of1-2] and 9] are improved. A method for a class of cubic interpolation spline is given, and the collocation equations of the cubic spline for integral equations is developed. The existence, the uniqueness, and the stability of collocation solution are discussed. The asymptotic expansion formula of errors for the cubic interpolation spline and the collocation solution are obtained. |
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| Keywords: | cubic spline interpolation collocation solution error estimation asymptotic expansion |
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