基本介紹
- 中文名:牛頓插值公式
- 外文名:Newton interpolation formula
- 提出者:牛頓
- 套用學科:數學,計算力學
差商
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公式推導
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等間距插值公式
![](/img/d/380/wZ2NnLxMTOiRWMxYGZ1Y2YjVGN1QTNiVTZxEjM3I2NmBDMmZ2LhxWdtJ3bm9SbvNmLz9mYlNmYu4GZj5yZtl2ai9yL6MHc0RHa.jpg)
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實例
![牛頓插值算例 牛頓插值算例](/img/f/03b/gNkV2N1IDO5UmZwUWNmdjM2M2NkR2MkZTZlRTO0UzY4YGO0IWZkJjZvMWaw9SbvNmLz9mYlNmYu4GZj5yZtl2ai9yL6MHc0RHa.jpg)
當只知道函式在一些節點的位置卻不知道函式具體的表達式時,我們可以利用代數插值方法給出函式的近似形式。常用的插值公式有拉格朗日插值、牛頓差值、埃米爾特插值及樣條...
插值法利用函式f(x)在某區間中若干點的函式值,作出適當的特定函式,在這些點上取已知值,在區間的其他點上用這特定函式的值作為函式f(x)的近似值。牛頓插值法...
牛頓向後插值公式(Newton backward interpo-lation formula)簡稱牛頓後插公式,是一種等距節點插值公式。特別適用於被插值點二位於插值區間右端點附近的情況。...
如果這特定函式是多項式,就稱它為多項式插值。常用的幾種多項式差值法有:直接法、拉格朗日插值法和牛頓插值法。中文名 多項式插值 外文名 polynomial interopolation ...
張遂一牛頓插值公式(Zhang-Newton interpola-tion formula)亦稱牛頓插值公式一種便於計算的插值多項式,是拉格朗日插值公式的另一種表達形式.具體形式為 依次為零階均...
劉悼一牛頓向前插值公式(Liu-Newton forwardinterpolation formula)亦稱牛頓前插公式一種等距節點插值公式.特別適用於被插值點二位於插值區間左端點附近的情況:二一xo...
7.1數值求積公式與代數精度 7.1.1數值積分的基本思想 7.1.2求積公式的代數精度 7.1.3插值型求積公式 7.1.4求積公式的收斂性與穩定性 7.2牛頓一...
3.2向後差分與牛頓向後插值公式 3.3差商與牛頓基本插值多項式 §4 分段低次插值 §5 三次樣條插值 5.1三次樣條插值函式的定義 ...
6.4牛頓插值多項式6.4.1差商形式的牛頓插值多項式6.4.2差商的基本性質6.4.3差分形式的牛頓插值多項式6.5埃爾米特插值多項式6.5.1構造基函式方法...
3.2.1線性插值 3.2.2拋物插值(也稱二次插值) 3.2.3n次插值 3.2.4插值餘項 3.3牛頓插值(Newton interpolation) 3.3.1具有繼承性的插值公式 3...
6.1.3 插值求積公式6.2 牛頓-科茨(Newton-Cotes)求積公式6.2.1 梯形求積公式(n-1時)6.2.2 拋物線求積公式(n-2時)6.2.3 牛頓一科茨求積公式(n)...
例題選講1.1拉格朗日插值基函式例題選講1.2插值餘項例題選講1.3差商與差分例題選講1.4牛頓插值公式例題選講1.5埃爾米特插值習題一
3.6.2壓縮映射原理與不動點疊代法 3.6.3牛頓疊代法 習題3 第4章函式插值 4.1多項式插值問題 4.1.1代數插值問題 4.1.2代數插值多項式的存在性與唯一性...
5.2.3拉格朗日插值多項式的惟一性及插值餘項5.3分段插值5.3.1分段線性插值與分段二次插值5.3.2分段三次埃爾米特插值5.4差商與牛頓插值多項式...
8.1.4 插值型求積公式 1588.2 牛頓-柯特斯求積公式 1608.2.1 牛頓-柯特斯公式的導出 1608.2.2 牛頓-柯特斯公式的誤差估計 162...
5. 2. 3 拉格朗日插值多項式的惟一性及插值餘項5. 3 分段插值5. 3. 1 分段線性插值與分段二次插值5. 3. 2 分段三次埃爾米特插值5. 4 差商與牛頓插值...