A COMPARISON OF SOME QUADRATURE METHODS FOR APPROXIMATING CAUCHY PRINCIPAL VALUE INTEGRALS

Cauchy principal value integrals are evaluated by the IMT quadrature s cheme, which like the TANH quadrature scheme is essentially a trapezoi dal scheme, after making a transformation of the variable of integrati on. Numerical results for some test problems demonstrate that the IMT scheme is superior to the TANH scheme, while both these methods are co mparable to, or even better than, the standard methods like the Gaussi an or the Chebyshev schemes, in terms of accuracy and simplicity. (C) 1995 Academic Press, Inc.