On different end-point constraints of cubic spline interpolation / Peter Paul P. Sevilla

By:

Sevilla, Peter Paul P

Material type: Text

TextLanguage: English Publication details: 2002Description: 59 leavesSubject(s):

Undergraduate Thesis AMAT200

Dissertation note: Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2002 Abstract: This study made use of four cubic spline interpolation methods with four different conditions to approximate six different test functions coming from different families of functions. The primary goal of the study was to investigate and determine which of the endpoint constraints works best for the six functions. The numerical experiment showed that natural, periodic and not-a-knot boundary conditions were the best interpolants for most of the test functions. However, no definite boundary condition could give a uniformly best result.

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

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Cover image	Item type	Current library	Collection	Call number	Status	Date due	Barcode
		University Library Theses	Room-Use Only	LG993.5 2002 A64 S49 (Browse shelf(Opens below))	Not For Loan		3UPML00010968
		University Library Archives and Records	Preservation Copy	LG993.5 2002 A64 S49 (Browse shelf(Opens below))	Not For Loan		3UPML00022131

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Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2002

This study made use of four cubic spline interpolation methods with four different conditions to approximate six different test functions coming from different families of functions. The primary goal of the study was to investigate and determine which of the endpoint constraints works best for the six functions. The numerical experiment showed that natural, periodic and not-a-knot boundary conditions were the best interpolants for most of the test functions. However, no definite boundary condition could give a uniformly best result.

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