4.3

# 4.3 - Numerical Analysis-4.1 Polynomial Interpolation...

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Numerical Analysis -4.1. Polynomial Interpolation written by Soyoung Ahn, 2010 9 Natural Cubic Spline Interpolation For data points    with       ⋯     Find  interpolating the data       ⋯   and satisfying ( S1 )  is a polynomial of degree ≤  on each interval          ⋯   ( S2 )      are continuous for  ≤  ≤  ( S3 )          ex >   cos       을 생각해보자.    에서의 error를 다음 두 가지의 node points 선택에 대해서 계산하자. case I >     인 경우 (    )       cos    ×   case II >     인 경우       cos    ×   4.3. Interpolation using Spline Functions 4.3.1. Spline Interpolation ex > Calculate the natural cubic spline  interpolating data          and satisfying the above conditions. sol>      ≤ ≤    ≤ ≤  이라고 할 때,  는 3차 다항함수이므로 계수를 4개 갖는다. 따라서 총 8개의 변수를 구해야한다. 다음의 8개의 조건을 이용해서  을 계산해보자.

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