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040			_aDLC _cUPMin _dupmin
041			_aeng
090			_aLG993.5 2000 _bA64 J64
100	1		_aJosue, Thea S. _91934
245	0	0	_aOn the location of the interpolation nodes in piecewise polynomial approximation / _cThea S. Josue
260			_c2000
300			_a49 leaves
500			_aThesis, Undergraduate (BS Applied Mathematics) -- U. P. in Mindanao
520	3		_aThe 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.
658			_aUndergraduate Thesis _cAMAT200
905			_aFi
905			_aUP
942			_2lcc _cTHESIS
999			_c165 _d165