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

By: Material type: TextTextLanguage: English Publication details: 2002Description: 59 leavesSubject(s): 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

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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