The problem of the numerical evaluation of Cauchy principal value integrals of oscillatory functions 1 -1 e iωx f (x) x-τ dx, where -1 < τ < 1, has been discussed. Based on analytic continuation, if f is analytic in a sufficiently large complex region G containing [-1, 1], the integrals can be tran
✦ LIBER ✦
A practical algorithm for computing Cauchy principal value integrals of oscillatory functions
✍ Scribed by Paweł Keller
- Book ID
- 113439931
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 630 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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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 t