On different gridding schemes for piecewise bivariate interpolation / Ryan A. Ocumen

By:

Ocumen, Ryan A

Material type: Text

TextLanguage: English Publication details: 2002Description: 70 leavesSubject(s):

Undergraduate Thesis AMAT200

Dissertation note: Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2002 Abstract: Bivariate interpolation on regular and irregular nodes was studied. Three gridding schemes, namely Uniform, Chebyshev and Legendre Methods were used to determine the location of the grids. Three bivariate piecewise interpolation methods were all used in the study. These are quadratic, cubic an order 4. Maximum errors were compared to determine which of the combination of gridding schemes and interpolation methods and with the number of nodes gives the most accurate approximation. Results show that there is no superior gridding scheme on the test function chosen. However, this study shows that piecewise bivariate interpolation of order two generally gave better approximation.

List(s) this item appears in: BS Applied Mathematics

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		University Library Theses	Room-Use Only	LG993.5 2002 A64 O25 (Browse shelf(Opens below))	Not For Loan		3UPML00010954
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Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2002

Bivariate interpolation on regular and irregular nodes was studied. Three gridding schemes, namely Uniform, Chebyshev and Legendre Methods were used to determine the location of the grids. Three bivariate piecewise interpolation methods were all used in the study. These are quadratic, cubic an order 4. Maximum errors were compared to determine which of the combination of gridding schemes and interpolation methods and with the number of nodes gives the most accurate approximation. Results show that there is no superior gridding scheme on the test function chosen. However, this study shows that piecewise bivariate interpolation of order two generally gave better approximation.

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