High-order corrected trapezoidal quadrature rules for functions with a logarithmic singularity in 2-D.

DOI10.1016/S0898-1221(02)00212-2zbMath1036.65026OpenAlexW2071471056MaRDI QIDQ1416312

Yu Chen, Juan C. Aguilar

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00212-2

zbMATH Keywords

logarithmic singularitycorrection coefficientshigh-order trapezoidal quadrature rules

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (14)

Quadrature by two expansions: evaluating Laplace layer potentials using complex polynomial and plane wave expansions ⋮ The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions ⋮ Arbitrarily high-order trapezoidal rules for functions with fractional singularities in two dimensions ⋮ Fast convolution with free-space Green's functions ⋮ High-order corrected trapezoidal rules for a class of singular integrals ⋮ A high-order, fast algorithm for scattering calculation in two dimensions ⋮ Maximization of the quality factor of an optical resonator ⋮ High-order corrected trapezoidal quadrature rules for the Coulomb potential in three dimensions ⋮ A Fourier Extension Based Numerical Integration Scheme for Fast and High-Order Approximation of Convolutions with Weakly Singular Kernels ⋮ Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators ⋮ Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions ⋮ Corrected trapezoidal rules for boundary integral equations in three dimensions ⋮ Improved convergence of fast integral equation solvers for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface ⋮ A fast, high-order scheme for evaluating volume potentials on complex 2D geometries via area-to-line integral conversion and domain mappings

Cites Work

• Unnamed Item
• End-point corrected trapezoidal quadrature rules for singular functions
• High-order quadratures for integral operators with singular kernels
• A Fortran 90-based multiprecision system
• High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: High-order corrected trapezoidal quadrature rules for functions with a logarithmic singularity in 2-D.