Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator
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Publication:2087529
DOI10.1016/j.cam.2022.114835zbMath1497.65058OpenAlexW4296691926MaRDI QIDQ2087529
Publication date: 21 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114835
error analysisClenshaw-Curtis-Filon-type methodmodified Filon-type methodsingular Bessel transformspecial Hermite interpolation polynomialtwo-point Taylor interpolation polynomial
Uses Software
Cites Work
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- DE-sinc methods have almost the same convergence property as SE-sinc methods even for a family of functions fitting the SE-sinc methods. I: Definite integration and function approximation
- Modified Clenshaw-Curtis method for the computation of Bessel function integrals
- Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms
- On evaluation of Bessel transforms with oscillatory and algebraic singular integrands
- A unified framework for asymptotic analysis and computation of finite Hankel transform
- The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
- The numerical solution of linear recurrence relations
- On quadrature methods for highly oscillatory integrals and their implementation
- Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel
- Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
- A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
- Fast integration of highly oscillatory integrals with exotic oscillators
- Error Bounds for Asymptotic Expansions of Hankel Transforms
- Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations
- Efficient quadrature of highly oscillatory integrals using derivatives
- A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
- Implementing Clenshaw-Curtis quadrature, I methodology and experience
- The double-exponential transformation in numerical analysis
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