Fast and stable augmented Levin methods for highly oscillatory and singular integrals
From MaRDI portal
Publication:5082040
DOI10.1090/mcom/3725OpenAlexW4205414661WikidataQ114094307 ScholiaQ114094307MaRDI QIDQ5082040
Publication date: 15 June 2022
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3725
Related Items (2)
A convolution quadrature using derivatives and its application ⋮ On the rational Levin quadrature for evaluation of highly oscillatory integrals and its application
Cites Work
- Unnamed Item
- Unnamed Item
- A Gaussian quadrature rule for oscillatory integrals on a bounded interval
- Superinterpolation in highly oscillatory quadrature
- Analysis of a collocation method for integrating rapidly oscillatory functions
- Error bounds for approximation in Chebyshev points
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- On the Levin iterative method for oscillatory integrals
- A universal solution to one-dimensional oscillatory integrals
- Complex Gaussian quadrature of oscillatory integrals
- A well-conditioned Levin method for calculation of highly oscillatory integrals and its application
- Levin methods for highly oscillatory integrals with singularities
- Shifted GMRES for oscillatory integrals
- On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals
- A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
- Fast, numerically stable computation of oscillatory integrals with stationary points
- On the Filon and Levin methods for highly oscillatory integral \(\smallint^{b}_{a}f(x)e^{iwg(x)}\,dx\)
- The special functions and their approximations. Vol. I, II
- Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
- A Fast and Well-Conditioned Spectral Method
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- A new frequency-uniform coercive boundary integral equation for acoustic scattering
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Moment-free numerical approximation of highly oscillatory integrals with stationary points
- Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
- Computing highly oscillatory integrals
- Computing Highly Oscillatory Integrals
- On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
- On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
- A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points
- Efficient quadrature of highly oscillatory integrals using derivatives
- Is Gauss Quadrature Better than Clenshaw–Curtis?
- Moment-free numerical integration of highly oscillatory functions
- Quadrature methods for multivariate highly oscillatory integrals using derivatives
This page was built for publication: Fast and stable augmented Levin methods for highly oscillatory and singular integrals
