Numerical method for hypersingular integrals of highly oscillatory functions on the positive semiaxis
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Publication:6556649
DOI10.14658/PUPJ-DRNA-2022-3-6zbMATH Open1540.65089MaRDI QIDQ6556649
M. C. De Bonis, Valeria Sagaria
Publication date: 17 June 2024
Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)
Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Cites Work
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- On the simultaneous approximation of a Hilbert transform and its derivatives on the real semiaxis
- A method to evaluate the Hilbert transform on (\(0, +\infty \))
- Some quadrature formulae with nonstandard weights
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- On uniform approximations to hypersingular finite-part integrals
- Some new applications of truncated Gauss-Laguerre quadrature formulas
- Definitions, properties and applications of finite-part integrals
- Uniform approximations to Cauchy principal value integrals of oscillatory functions
- Convergence of Gaussian formulas for the calculation of the derivatives of Cauchy principal value integrals
- Numerical evaluation of hypersingular integrals
- On quadrature for Cauchy principal value integrals of oscillatory functions.
- A method to generate generalized quadrature rules for oscillatory integrals
- Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros
- A product integration rule for hypersingular integrals on \((0,+\infty)\)
- Numerical computation of hypersingular integrals on the real semiaxis
- Cubature formulae for nearly singular and highly oscillating integrals
- Fast integration of rapidly oscillatory functions
- Some numerical algorithms to evaluate Hadamard finite-part integrals
- Asymptotic expansions and fast computation of oscillatory Hilbert transforms
- Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions
- Filtered integration rules for finite weighted Hilbert transforms
- Numerical approximations of highly oscillatory Hilbert transforms
- Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\)
- The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
- Numerical treatment of a class of systems of Fredholm integral equations on the real line
- Approximation of the Hilbert Transform on the Real Line Using Freud Weights
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Some numerical methods for second-kind Fredholm integral equations on the real semiaxis
- On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
- Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
- Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals
- Numerical evaluation of certain strongly singular integrals
- Efficient quadrature of highly oscillatory integrals using derivatives
- A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
- Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
- A numerical method for finite-part integrals
Related Items (2)
5-th Dolomites Workshop on Constructive Approximation and Applications -- special issue dedicated to Robert Schaback on the occasion of his 75th birthday ⋮ Approximation of the Hilbert transform on the half-line
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