| 用重节点差商法求解3n+2次Hermite插值问题 |
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| 引用本文： | 乐依赟,蔡静.用重节点差商法求解3n+2次Hermite插值问题[J].湖州师范学院学报,2012(1):27-31. |
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| 作者姓名： | 乐依赟 蔡静 |
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| 作者单位： | 湖州师范学院理学院 |
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| 基金项目： | 浙江省自然科学基金(Y6110043);国家特色专业建设点“数学与应用数学”资助 |
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| 摘 要： | 用重节点差商法求解Hermite插值问题,在已有的成果基础上,针对节点数完全匹配的情况,建立了带导数的Hermite插值公式,进行了相应的误差估计,并通过具体的求解例子与现有的Lagrange基函数法作了比较,显示所用方法的优越性.
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| 关 键 词： | Hermite插值 重节点差商法 误差估计 |
Solving the 3n+2 Orders Hermite Interpolation Problems with the Method of Difference Quotient |
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| YUE Yi-yun,CAI Jing.Solving the 3n+2 Orders Hermite Interpolation Problems with the Method of Difference Quotient[J].Journal of Huzhou Teachers College,2012(1):27-31. |
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| Authors: | YUE Yi-yun CAI Jing |
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| Institution: | (Faculty of Science,Huzhou Teachers College,Huzhou 313000,China) |
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| Abstract: | This paper mainly considers the Hermite interpolation problems with the method of divided difference at the same node.Based on the existing results,it studies the Hermite interpolation functions with derivative whose number of nodes is completely matching,builds some Hermite interpolating formulas with derivatives,and also gives the corresponding error estimate.Some numerical examples are presented to compare the proposed method with the existing Lagrange primary function method to show its advantage. |
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| Keywords: | Hermite interpolation divided difference at same node error estimate |
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