A Compact Birkhoff Type Interpolation

碩士 === 國立清華大學 === 數學系 === 104 === This thesis consists of two parts. In the first part, we will introduce the definition of bivariate Birkhoff interpolation and describe its application on interface problem. Next, we will show an example that how we interpolates a function by compact Birkhoff type i...

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Bibliographic Details
Main Authors: Chien, Chia Sheng, 錢家生
Other Authors: Wang, Wei Cheng
Format: Others
Language:en_US
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/33826644977925997840
Description
Summary:碩士 === 國立清華大學 === 數學系 === 104 === This thesis consists of two parts. In the first part, we will introduce the definition of bivariate Birkhoff interpolation and describe its application on interface problem. Next, we will show an example that how we interpolates a function by compact Birkhoff type interpolation and discuss the property of determinant to help us compute the determinant. In the second part, we will show the data and workable figures of the quadratic, cubic and fourth degree approximation.