✦ LIBER ✦

Error estimates for some composite corrected quadrature rules

✍ Scribed by Zheng Liu

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 341 KB
Volume: 22
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2008.08.016

No coin nor oath required. For personal study only.

✦ Synopsis

The asymptotic behaviour of the error for a general quadrature rule is established and it is applied to some composite corrected quadrature rules.

📜 SIMILAR VOLUMES

Error estimates for Gaussian quadrature

✍ Frank G. Lether 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 613 KB

Some observations on Gauss-Legendre quad

Some observations on Gauss-Legendre quadrature error estimates for analytic functions

✍ Frank G. Lether 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 260 KB

End-point corrected trapezoidal quadratu

End-point corrected trapezoidal quadrature rules for singular functions

✍ V. Rokhlin 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 633 KB

Error estimation of quadrature rules for

Error estimation of quadrature rules for evaluating singular integrals in boundary element problems

✍ Peter R. Johnston; David Elliott 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 111 KB 👁 3 views

The e cient numerical evaluation of integrals arising in the boundary element method is of considerable practical importance. The superiority of the use of sigmoidal and semi-sigmoidal transformations together with Gauss-Legendre quadrature in this context has already been well-demonstrated numerica

Error estimates for Gaussian quadratures

Error estimates for Gaussian quadratures of analytic functions

✍ Gradimir V. Milovanović; Miodrag M. Spalević; Miroslav S. Pranić 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 417 KB

For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points ±1 and the sum of semi-axes > 1 for the Chebyshev weight functions of

High-order corrected trapezoidal quadrat

High-order corrected trapezoidal quadrature rules for the coulomb potential in three dimensions

✍ J.C. Aguilar; Yu Chen 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 387 KB

We construct correction coefficients for high-order trapezoidal quadrature rules to evaluate three-dimensional singular integrals of the form, where the domain D is a cube containing the point of singularity (0, 0, 0) and v is a C °o function defined on R 3. The procedure employed here is a general