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一类提高插值算法精度的数据变换法
引用本文:汪时奇.一类提高插值算法精度的数据变换法[J].上海理工大学学报(社会科学版),1986(3).
作者姓名:汪时奇
作者单位:上海机械学院机械工程系
摘    要:为了提高文1]所提供的用于旋转对称结构动力特性计算的插值法的精度,本文提出了一类数据变换法。文中主要研究该方法在Lagrange插值法中的应用情况,给出了它的可行性证明及算例。对于另一些数值算法,则只给出可行性说明。试算结果验证了本法能提高计算精度。

关 键 词:插值法  线性插值  多项式插值

A Kind of Data-Transformation Methods Increassing the Accuracy of Interpolations
Wang Shiqi.A Kind of Data-Transformation Methods Increassing the Accuracy of Interpolations[J].Journal of University of Shanghai For Science and Technilogy(Social Science),1986(3).
Authors:Wang Shiqi
Abstract:In order to improve the accuracy of the eigen problems solution of rotationally symmetrical structures with interpolation methods offered in 1], the present article develops a kind of methods in data-processing that can reduce the errors of some numerical methods. In this paper, the author mainly deals with the application of the methods in Lagrange interpolation, paying particular attention to its comparison with the commonly used Interpolation methods. These new methods have proved to be efficient and reliable, as verified by the results of experiment and computation.
Keywords:Interpolation methods  Linear interpolation  Polynomial interpolation
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