Cubature formulae for nearly singular and highly oscillating integrals
From MaRDI portal
Publication:1742972
DOI10.1007/s10092-018-0243-xOpenAlexW2792829422MaRDI QIDQ1742972
Donatella Occorsio, Giada Serafini
Publication date: 12 April 2018
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-018-0243-x
Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Numerical quadrature and cubature formulas (65D32)
Related Items (8)
Numerical treatment of the generalized Love integral equation ⋮ A kernel-independent sum-of-exponentials method ⋮ HSMA: an \(O(N)\) electrostatics package implemented in LAMMPS ⋮ Product integration rules by the constrained mock-Chebyshev least squares operator ⋮ Volterra integral equations with highly oscillatory kernels: a new numerical method with applications ⋮ Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals ⋮ On product integration rules for highly oscillatory integrals on a triangle ⋮ A product integration rule on equispaced nodes for highly oscillating integrals
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \texttt{Padua2DM}: Fast interpolation and cubature at the Padua points in \texttt{MATLAB/Octave}
- Numerical methods for Fredholm integral equations on the square
- The numerical treatment of Love's integral equation having very small parameter
- Polynomial interpolation and hyperinterpolation over general regions
- Algebraic cubature by linear blending of elliptical arcs
- Nyström method for Fredholm integral equations of the second kind in two variables on a triangle
- On Gauss–Lobatto Integration on the Triangle
- Modified Moments and Orthogonal Rational Functions
- Interpolation Processes
- A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
- The Construction of cubature rules for multivariate highly oscillatory integrals
- Mean Convergence of Lagrange Interpolation. III
- A fast algorithm for the construction of recurrence relations for modified moments
- A polynomial collocation method for the numerical solution of weakly singular and singular integral equations on non-smooth boundaries
- On the Construction of Gaussian Quadrature Rules from Modified Moments
This page was built for publication: Cubature formulae for nearly singular and highly oscillating integrals
