Comparison of Newton-Cotes and Gaussian Methods of Quadrature
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Abstract
We compare Newton-Cotes and Gauss methods of various orders. We give two MATLAB programs that evaluates integrals numerically for given order with given number of points. We make extensive tests with various functions and intervals using same number of points for each method and compare errors. (c) 2005 Elsevier Inc. All rights reserved.
Description
Keywords
Numerical, Quadrature, Newton-Cotes, Gaussian, numerical examples, numerical, MATLAB programs, quadrature, Packaged methods for numerical algorithms, Newton-Cotes quadrature, Gauss quadrature, Numerical quadrature and cubature formulas, comparison of methods, Approximate quadratures
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Sermutlu, E., (2005). Comparison of Newton–Cotes and Gaussian methods of quadrature. Applied Mathematics & Computation, 171(2), 1048-1057. http://dx.doi.org/10.1016/j.amc.2005.01.102
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OpenCitations Citation Count
6
Volume
171
Issue
2
Start Page
1048
End Page
1057
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