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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).

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Interpolation

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  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.”

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