✦ LIBER ✦

On the numerical evaluation of two-dimensional principal value integrals

✍ Scribed by P. S. Theocaris; N. I. Ioakimidis; J. G. Kazantzakis

Publisher: John Wiley and Sons
Year: 1980
Tongue: English
Weight: 344 KB
Volume: 15
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620150414

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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 Integrability of Two-Dimensional

On the Integrability of Two-Dimensional Flows

✍ Javier Chavarriga; Hector Giacomini; Jaume Giné; Jaume Llibre 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 150 KB

THE EVALUATIONS OF CAUCHY PRINCIPAL VALU

THE EVALUATIONS OF CAUCHY PRINCIPAL VALUE INTEGRALS AND WEAKLY SINGULAR INTEGRALS IN BEM AND THEIR APPLICATIONS

✍ J. ZHU; A. H. SHAH; S. K. DATTA 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 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

On non-linear transformations for the in

On non-linear transformations for the integration of weakly-singular and Cauchy Principal Value integrals

✍ M. Doblaré; L. Gracia 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 602 KB

The mathematical foundations of the application of non-linear transformations to the numerical integration of weakly singular and Cauchy Principal Value (CPV) integrals are revised in this paper. This approach was firstly introduced to compute the singular kernels appearing in the Boundary Element M

On the Divergence of the Two-Dimensional

On the Divergence of the Two-Dimensional Dyadic Difference of Dyadic Integrals

✍ G. Gát 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 204 KB

On the numerical integration of multi-di

On the numerical integration of multi-dimensional, initial boundary value problems for the Euler equations in quasi-linear form

✍ Mauro Valorani; Bernardo Favini 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 582 KB

A matricial formalism to solve multi-dimensional initial boundary values problems for hyperbolic equations written in quasi-linear based on the λ scheme approach is presented. The derivation is carried out for nonorthogonal, moving systems of curvilinear coordinates. A uniform treatment of the integ