4.3

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

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Unformatted text preview: 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. 을 계산해보자....
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This document was uploaded on 10/18/2010.

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

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