1 / 20

Interpolation

Interpolation. Lagrangian polynomial interpolation. Chebyshev interpolation. 牛顿插值. 分段多项式插值. 三阶 Hermite 插值. 区间 [ x i , x i +1 ], s=x-x i , h=h i = x i+ 1 - x i (Moler’s book,p.100). 区间 [ x i , x i +1 ]. 三次样条插值. 区间 [ x i , x i +1 ], (Moler’s book,p.102).

jalila
Download Presentation

Interpolation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Interpolation

  2. Lagrangian polynomial interpolation

  3. Chebyshev interpolation

  4. 牛顿插值

  5. 分段多项式插值 三阶Hermite插值 区间 [xi, xi+1], s=x-xi, h=hi= xi+1-xi(Moler’s book,p.100)

  6. 区间 [xi, xi+1]

  7. 三次样条插值

  8. 区间 [xi, xi+1], (Moler’s book,p.102) s=x-xi, yi=f(xi), di=f’(xi) 区间 [xi-1, xi],

  9. 端点条件: • 固定斜率 • 自然端点 • 非节点 代入d3

  10. MATLAB 函数 interp1(x,y,xt,’method’) method = nearest linear spline pchip spline pchip

  11. “It is important to prove, but it is more important to improve.”

More Related