Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach
From MaRDI portal
Publication:1603272
DOI10.1016/S0010-4655(02)00155-8zbMath0998.65128MaRDI QIDQ1603272
Paul J. Pelzl, Frederick W. King, Gregory J. Smethells, Geir T. Helleloid
Publication date: 11 July 2002
Published in: Computer Physics Communications (Search for Journal in Brave)
numerical examplesconvergence accelerationnumerical quadratureoscillatory functionsHilbert transforms
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10)
Related Items (7)
Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ A new Korteweg-de Vries equation-based sub-equation method and its application to the (2 + 1)-dimensional Korteweg-de Vries equation ⋮ Asymptotic expansions and fast computation of oscillatory Hilbert transforms ⋮ On computing with the Hilbert spline transform ⋮ The Hilbert transform of cubic splines ⋮ Computing the Hilbert transform and its inverse ⋮ Limits of calculating the finite Hilbert transform from discrete samples
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of quadratures for Cauchy principal value integrals
- Convergence acceleration via combined nonlinear-condensation transformations
- Sequence transformations and their applications
- Numerical solution of the Hilbert transform for phase calculation from an amplitude spectrum
- The numerical evaluation of one-dimensional Cauchy principal value integrals
- Extrapolation methods theory and practice
- On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals
- On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals: An addendum
- On the stability of the \(\mathcal J\) transformation
- Modified compound quadrature rules for strongly singular integrals
- Hilbert and Hadamard transforms by generalized Chebyshev expansion
- Two new formulas for the numerical evaluation of the Hilbert transform
- New error bounds for modified quadrature formulas for Cauchy principal value integrals
- Scalar Levin-type sequence transformations
- Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm
- Functions of the second kind for Freud weights and series expansions of Hilbert transforms
- Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals
- On the evaluation of Hilbert transforms by means of a particular class of Turán quadrature rules
- Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates
- A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature
- Analytical and numerical studies of the convergence behavior of the \({\mathcal J}\) transformation
- Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals
- A sinc quadrature subroutine for Cauchy principal value integrals
- A method for the practical evaluation of the Hilbert transform on the real line
- Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals
- The numerical evaluation of principal-value integrals
- A numerical approach to principal value integrals in despersion relations
- An algorithm for the numerical evaluation of certain Cauchy principal value integrals
- The numerical evaluation of Cauchy principal values of integrals by Romberg integration
- Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
- On the Numerical Evaluation of Cauchy Principal Values of Integrals
- Gauss-Kronrod Integration Rules for Cauchy Principal Value Integrals
- HURRY: An Acceleration Algorithm for Scalar Sequences and Series
- Rates of Convergence of Gaussian Quadrature for Singular Integrands
- On the Convergence of an Interpolatory Product Rule for Evaluating Cauchy Principal Value Integrals
- The numerical evaluation of Cauchy principal value integrals via the fast Fourier transform
- Some practical aspects in the numerical evaluation of cauchy principal value integrals
- A Note on Quadrature Formulae for Cauchy Principal Value Integrals
- Numerical Comparisons of Nonlinear Convergence Accelerators
- A Fourier series method for numerical Kramers-Kronig analysis
- Acceleration of Linear and Logarithmic Convergence
- Noninterpolatory Integration Rules for Cauchy Principal Value Integrals
- Development of non-linear transformations for improving convergence of sequences
- An Automatic Quadrature for Cauchy Principal Value Integrals
- Numerical evaluation of cauchy principal values of integrals
- The Numerical Evaluation of the Cauchy Transform on Simple Closed Curves
This page was built for publication: Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach
