Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김영순 | - |
dc.creator | 김영순 | - |
dc.date.accessioned | 2016-08-25T06:08:54Z | - |
dc.date.available | 2016-08-25T06:08:54Z | - |
dc.date.issued | 2000 | - |
dc.identifier.other | OAK-000000029760 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/181840 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000029760 | - |
dc.description.abstract | When dispersive points composed of data in the natural science experiment are expressed graph of functional relation, there are many cases of determing the measured value or unmeasured value by using this diagram. Also, for some cases the value of superior function is determined by function table. In this case, we use the interpolation, which is a basic tool for the approximation of given functions. Spline is one of the interpolation method. Spline functions yield smooth interpolating curves which are less likely to exhibit the large oscillations characteristic of high-degree polynomials. We study the cubic and fourth order spline and we compare values of the two splines with of real function.;자연과학실험에서 측정된 자료들로 구성된 이산적인 점들이 함수 관계를 가진 도표로 나타났을 때, 측정된지 않았거나 또는 측정할 수 없는 값을 이 도표를 이용하여 구하는 경우가 많다. 또, 초월함수의 값은 함수표를 이용하여 구하는 경우가 있다. 이런 경우에 우리는 보간법(Interpolation)을 구하는 기본적인 도구이다. Spline은 Interpolation의 한 종류이다. Spline은 high-degree polynomlals curve 들을 생기게 한다. 여기에서는 Cubic Spline과 Fourth-order Spline을 공부하고, real function과 two Spline의 값을 비교한다. | - |
dc.description.tableofcontents | 1 Introduction = 1 2 Interpolation by cubic spline = 4 2.1 Introduction of spline = 4 2.2 Definition of cubic spline = 6 2.3 Notation = 8 2.4 Algorithm of cubic spline = 10 2.5 Algorithm to solve cubic spline = 14 3 Interpolation by fourth-order spline = 17 3.1 Notation = 17 3.2 Algorithm of the fourth-order spline = 21 3.3 Algorithm to solve fourth-order spline = 28 4 Experiment: Cubic spline = 32 | - |
dc.format | application/pdf | - |
dc.format.extent | 832194 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | Interpolation | - |
dc.subject | Cubic | - |
dc.subject | Fourth-order | - |
dc.subject | Spline | - |
dc.title | Interpolation using Cubic and Fourth-order Spline | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 38 p. : ill. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2001. 2 | - |