实验结果.txt

多项式插值的震荡现象与三次样条插值实验

说明：由于输出表达式形式效果不好也比较麻烦，所以对于L10(x)、
L20(x)、S10(x)、S20(x)这里只输出公式中所需的所有常数项。

精确值f(4.8)=0.0415973

L10的情况：
X0=-5   Y0=0.0384615
X1=-4   Y1=0.0588235
X2=-3   Y2=0.1
X3=-2   Y3=0.2
X4=-1   Y4=0.5
X5=0    Y5=1
X6=1    Y6=0.5
X7=2    Y7=0.2
X8=3    Y8=0.1
X9=4    Y9=0.0588235
X10=5   Y10=0.0384615
L(4.8)=1.80439

L20的情况：
X0=-5   Y0=0.0384615
X1=-4.5 Y1=0.0470588
X2=-4   Y2=0.0588235
X3=-3.5 Y3=0.0754717
X4=-3   Y4=0.1
X5=-2.5 Y5=0.137931
X6=-2   Y6=0.2
X7=-1.5 Y7=0.307692
X8=-1   Y8=0.5
X9=-0.5 Y9=0.8
X10=0   Y10=1
X11=0.5 Y11=0.8
X12=1   Y12=0.5
X13=1.5 Y13=0.307692
X14=2   Y14=0.2
X15=2.5 Y15=0.137931
X16=3   Y16=0.1
X17=3.5 Y17=0.0754717
X18=4   Y18=0.0588235
X19=4.5 Y19=0.0470588
X20=5   Y20=0.0384615
L(4.8)=-50.8644

S10的情况：
M0=0.0689577
M1=-0.0157435
M2=0.0148307
M3=0.0152442
M4=0.124192
M5=-0.312014
M6=0.123862
M7=0.016564
M8=0.00988158
M9=0.00273323
M10=-9.52292e-065
S(4.8)=0.0424465

S20的情况：
M0=0.117736
M1=-0.0291369
M2=0.0114816
M3=0.00274446
M4=0.00906111
M5=0.014622
M6=0.0290025
M7=0.0518613
M8=0.102014
M9=-0.0291467
M10=-0.385427
M11=-0.0291459
M12=0.102011
M13=0.051873
M14=0.0289589
M15=0.0147846
M16=0.00845421
M17=0.00500945
M18=0.00302853
M19=0.00241029
M20=-8.63736e-065
S(4.8)=0.0418667

S18的情况：
M0=-2.7416
M1=0.5203
M2=-0.0934459
M3=0.0241943
M4=-0.00639055
M5=0.00165997
M6=-0.000263282
M7=6.9987e-005
M8=-1.2983e-005
M9=3.48164e-006
M10=-9.31389e-007
M11=2.50552e-007
M12=-6.69291e-008
M13=1.80478e-008
M14=-4.91017e-009
M15=1.76656e-009
M16=-5.91106e-010
M17=1.70503e-010
M18=-6.7843e-071
S(2)=8.48571
S'(2)=2.24684
S''(2)=-0.870433
S(30)=25.3576
S'(30)=0.34967
S''(30)=-0.00539983
S(130)=36.7551
S'(130)=-0.00565936
S''(130)=-4.94067e-006
S(350)=22.4094
S'(350)=-0.104817
S''(350)=-5.52957e-009
S(515)=0.7
S'(515)=-0.1
S''(515)=6.5578e-011
请按任意键继续. . .