End-point corrected trapezoidal quadrature rules for singular functions

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