✦ LIBER ✦

On the convergence of spline product quadratures for Cauchy principal value integrals

✍ Scribed by C. Dagnino; E. Santi

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 434 KB
Volume: 36
Category: Article
ISSN: 0377-0427
DOI: 10.1016/0377-0427(91)90025-f

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Uniform convergence of optimal order qua

Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals

✍ Kai Diethelm 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 491 KB

Convergence of Gauss-Christoffel formula

Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals

✍ Giuliana Criscuolo; Giuseppe Mastroianni 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 532 KB

A Comparison of Some Quadrature Methods

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

✍ A. Natarajan; N. Mohankumar 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 163 KB

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

On bicubic transformation for the numeri

On bicubic transformation for the numerical evaluation of Cauchy principal value integrals

✍ Chen, T. Charles 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 210 KB 👁 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

On the evaluation of Cauchy principal va

On the evaluation of Cauchy principal value integrals of oscillatory functions

✍ Haiyong Wang; Shuhuang Xiang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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

The superconvergence of the Newton–Cotes rule for Cauchy principal value integrals

✍ Dongjie Liu; Jiming Wu; Dehao Yu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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