Numerical integration formulas for unequally spaced tabulated data points / Filipinas S. Parazo

By: Material type: TextTextLanguage: English Publication details: 2004Description: 55 leavesSubject(s): Dissertation note: Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2004 Summary: Numerical integration formula is used in approximating an area from a data set that is usually taken from experimental observations. These experimental observations usually come in unequal intervals. This study derived integration formulas for unequally spaced tabulated data based on six piecewise polynomial interpolation methods, namely: linear, quadratic, cubic, quadratic Hermite, cubic Hermite, and cubic spline interpolation. The derived integration formulas were then evaluated on different test functions where error was the basis of accuracy of the formulas. The best method considered was applied to a study of wastewater discharge of Franklin Baker Company. The implementation of the evaluation of test functions and application of the formula to the actual data was done using a Mathematica 4.0 program.
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Item type Current library Collection Call number Status Date due Barcode
Thesis University Library Non-Circulation LG993.5 2004 A64 P37 (Browse shelf(Opens below)) Available 3UPML00020858
Thesis University Library Reference/Room-Use Only LG993.5 2004 A64 P37 (Browse shelf(Opens below)) Available 3UPML00011064

Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2004

Numerical integration formula is used in approximating an area from a data set that is usually taken from experimental observations. These experimental observations usually come in unequal intervals. This study derived integration formulas for unequally spaced tabulated data based on six piecewise polynomial interpolation methods, namely: linear, quadratic, cubic, quadratic Hermite, cubic Hermite, and cubic spline interpolation. The derived integration formulas were then evaluated on different test functions where error was the basis of accuracy of the formulas. The best method considered was applied to a study of wastewater discharge of Franklin Baker Company. The implementation of the evaluation of test functions and application of the formula to the actual data was done using a Mathematica 4.0 program.

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