| 一种位场数据补充的插值法数学模型 |
| |
| 引用本文： | 蔡文成.一种位场数据补充的插值法数学模型[J].莆田学院学报,2001,8(1):24-30. |
| |
| 作者姓名： | 蔡文成 |
| |
| 作者单位： | 莆田高等专科学校 |
| |
| 摘 要： | 指出位场函数具有变化梯度大等特点，与多项式函数的特性相差甚远，用拉格朗日插值法公式计算的插值精度低、可靠性差。当待插点离已知点较远时，几乎没有参考的价值。根据位场函数的特点，依据指数函数拟合位场函数导出指数函数拟合法插值公式。用这种插值公式内插补充和外推（包含向上和向下延拓计算）在理论模型上和在实际矿区上试算都证明了指数函数拟合法插值公式在位场数据补充上是一种精度比较高的插值数学模型。
|
| 关 键 词： | 位场数据补充 拉格朗日插值公式 指数函数拟合位场函数 插值法数学模型 |
| 文章编号： | 1008-7885(2001)01-0024-07 |
| 修稿时间： | 2000年5月22日 |
An Insertion Mathematics Pattern of Complementary Potential Data |
| |
| Abstract: | The Larguelangh Formula, based on the simulated multi-function, is a traditional simple direct calculation widely used in cakubating the complementary potential data of the inside or outside given internal by insertion or by extension. It has found a wide application in various fields. However, because the potential data vary in a large gradient and are quite different from multi-function, the insertion values calculated with the Formula present low preciseness and reliability, and are almost no significant when the inserting points are far from the given ones. According to the potential function features, this paper uses the exponential function to potential data and reaches the simulated insertion formula of exponential function. It has been proved that the simulated formula by insertion and extension, is useful for creating theory model as well as for on-the-spot calculating at mines. |
| |
| Keywords: | Insertion data complement Simulated exponential potential function Insertion mathematics pattern of exponential insertion |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
