A New Quadrature Routine for Improper and Oscillatory Integrals

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Abstract

In MATLAB environment, a new quadrature routine based on Gaussian quadrature rule has been developed. Its performance is evaluated for improper integrals, rapidly oscillating functions and other types of functions requiring a. large number of evaluations. This performance is compared against the other quadrature routines written for MATLAB in terms of capability, accuracy and computation time. It is found that our routine rates quite favourably. (c) 2006 Elsevier Inc. All rights reserved.

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Keywords

Quadrature, Improper Integrals, Numerical Algorithms, Matlab, MATLAB, numerical examples, Gaussian quadrature, improper integrals, algorithms, Numerical quadrature and cubature formulas, Approximate quadratures

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Sermutlu, E., Eyyuboğlu, H:T: (2007). A new quadrature routine for improper and oscillatory integrals. Applied Mathematics&Computation, 189(1), 452-461. http://dx.doi.org/10.1016/j.amc.2006.08.176

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3

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189

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1

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452

End Page

461
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