On the location of the interpolation nodes in piecewise polynomial approximation / Thea S. Josue
Material type:
TextLanguage: English Publication details: 2000Description: 49 leavesSubject(s): Abstract: The main objective of the study was to determine which among the three methods of locating the interpolation nodes, that is, the equally spaced points, the Chebyshev points, and the Aresine points, makes a good fit over particular functions. Six representative test functions were interpolated using piecewise polynomial interpolation such as the linear and cubic each having degree in equal to 2, 3, 4, 5, 8, 10, 12, 15, 20, and 30. Comparison of the error associated with the location of the nodes was done. The numerical experiment showed that there was no uniformly best method for the test functions used. However, the exponential functions, all performed well. Moreover, in oscillating functions, all performed very well but Chebyshev points did better than the rest.
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University Library Theses | Room-Use Only | LG993.5 2000 A64 J64 (Browse shelf(Opens below)) | Not For Loan | 3UPML00010947 | |
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Thesis
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University Library Archives and Records | Preservation Copy | LG993.5 2000 A64 J64 (Browse shelf(Opens below)) | Not For Loan | 3UPML00020963 |
Thesis, Undergraduate (BS Applied Mathematics) -- U. P. in Mindanao
The main objective of the study was to determine which among the three methods of locating the interpolation nodes, that is, the equally spaced points, the Chebyshev points, and the Aresine points, makes a good fit over particular functions. Six representative test functions were interpolated using piecewise polynomial interpolation such as the linear and cubic each having degree in equal to 2, 3, 4, 5, 8, 10, 12, 15, 20, and 30. Comparison of the error associated with the location of the nodes was done. The numerical experiment showed that there was no uniformly best method for the test functions used. However, the exponential functions, all performed well. Moreover, in oscillating functions, all performed very well but Chebyshev points did better than the rest.
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