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A Comparison of Some Quadrature Methods for Approximating Cauchy Principal Value Integrals

✍ Scribed by A. Natarajan; N. Mohankumar


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
163 KB
Volume
116
Category
Article
ISSN
0021-9991

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✦ Synopsis


Cauchy principal value integrals are evaluated by the IMT quadrature scheme, which like the TANH quadrature scheme is essentially a trapezoidal scheme, after making a transformation of the variable of integration. Numerical results for some test problems demonstrate that the IMT scheme is superior to the TANH scheme, while both these methods are comparable to, or even better than, the standard methods like the Gaussian or the Chebyshev schemes, in terms of accuracy and simplicity. ① 1995 Academic Press, inc.