𝔖 Bobbio Scriptorium
✦   LIBER   ✦

One more approach to the computation of Cauchy principal value integrals

✍ Scribed by N.I. Ioakimidis


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
247 KB
Volume
7
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Direct computation of Cauchy principal v
✍ Massimo Guiggiani; Paolo Casalini πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 537 KB

This paper presents a new method for the direct computation of strongly singular integrals existing in the Cauchy principal value sense. It can be usefully applicd in thc solution by the direct boundary element method of many different problems. Initialiy, some considerations are provided in order t

On the evaluation of Cauchy principal va
✍ Haiyong Wang; Shuhuang Xiang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 409 KB

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

The superconvergence of the Newton–Cotes
✍ Dongjie Liu; Jiming Wu; Dehao Yu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 345 KB

We consider the general (composite) Newton-Cotes method for the computation of Cauchy principal value integrals and focus on its pointwise superconvergence phenomenon, which means that the rate of convergence of the Newton-Cotes quadrature rule is higher than what is globally possible when the singu

On bicubic transformation for the numeri
✍ Chen, T. Charles πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 210 KB πŸ‘ 1 views

Recently a bicubic transformation was introduced to numerically compute the Cauchy principal value (CPV) integrals. Numerical results show that this new method converges faster than the conventional Gauss-Legendre quadrature rule when the integrand contains different types of singularity. Assume is

THE EVALUATIONS OF CAUCHY PRINCIPAL VALU
✍ J. ZHU; A. H. SHAH; S. K. DATTA πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 693 KB

A new technique is developed to evaluate the Cauchy principal value integrals and weakly singular integrals involved in the boundary integral equations. The boundary element method is then applied to analyse scattering of waves by cracks in a laminated composite plate. The Green's functions are obta