Example 3.  Construct the clamped cubic spline for the points [Graphics:Images/CubicSplinesMod_gr_53.gif]  that has the endpoint constraints   [Graphics:Images/CubicSplinesMod_gr_54.gif].  

Solution 3.

[Graphics:../Images/CubicSplinesMod_gr_55.gif]


[Graphics:../Images/CubicSplinesMod_gr_56.gif]

[Graphics:../Images/CubicSplinesMod_gr_57.gif]
[Graphics:../Images/CubicSplinesMod_gr_58.gif]

If more information is needed, we can look at the coefficients that form the cubic spline.

[Graphics:../Images/CubicSplinesMod_gr_59.gif]


[Graphics:../Images/CubicSplinesMod_gr_60.gif]
[Graphics:../Images/CubicSplinesMod_gr_61.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004