| 泰勒公式在数值计算中的应用 |
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| 引用本文： | 孔珊珊.泰勒公式在数值计算中的应用[J].济宁师范专科学校学报,2011(3):70-72. |
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| 作者姓名： | 孔珊珊 |
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| 作者单位： | 济宁学院数学系,山东曲阜273155 |
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| 摘 要： | 泰勒（Taylor）公式是＂函数逼近＂思想的一个重要应用,在数值计算中也有着非常广泛的应用.本文阐述了泰勒（Taylor）公式在数值计算中的几个主要应用,包括近似计算,判定迭代法的收敛速度,导出Euler法和Newton迭代法及误差分析等.
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| 关 键 词： | 泰勒（Taylor）公式 收敛速度 迭代法 数值计算 误差 |
Application of Taylor Formula in Numerical Computation |
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| KONG Shanshan.Application of Taylor Formula in Numerical Computation[J].Journal of Jining Teachers College,2011(3):70-72. |
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| Authors: | KONG Shanshan |
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| Institution: | KONG Shanshan(Mathematics Department of Jining University,Qufu 273155,China) |
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| Abstract: | Taylor formula is an important application of thought of function approximation,and it is extensively used in numerical computation.In this paper,several main applications of Taylor formula in numerical computation are illustrated,including approximate calculation,decision of convergence rate of iterative method,and derivation of Newton method and Euler method and its error analysis. |
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| Keywords: | Taylor formula convergence rate iterative method numerical computation error analysis |
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