New algorithms for approximation of Bessel transforms with high frequency parameter
From MaRDI portal
Publication:2050922
DOI10.1016/j.cam.2021.113705zbMath1481.65045OpenAlexW3180957410MaRDI QIDQ2050922
Imtiaz Ahmad, Sakhi Zaman, Muhammad Munib Khan, Siraj-ul-islam
Publication date: 1 September 2021
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.2021.113705
Gauss-Laguerre quadraturemeshfree collocation methodmulti-resolution quadratureBessel integral transformscomplex line integration
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Cites Work
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- On the evaluation of highly oscillatory finite Hankel transform using special functions
- Numerical approximations to integrals with a highly oscillatory Bessel kernel
- New quadrature rules for highly oscillatory integrals with stationary points
- Quadrature rules for numerical integration based on Haar wavelets and hybrid functions
- Analysis of a collocation method for integrating rapidly oscillatory functions
- A high order, progressive method for the evaluation of irregular oscillatory integrals
- Efficient numerical methods for Bessel type of oscillatory integrals
- Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals
- Asymptotic expansions of Bessel, Anger and Weber transformations
- Numerical analysis of a fast integration method for highly oscillatory functions
- Modified Clenshaw-Curtis method for the computation of Bessel function integrals
- Some theoretical aspects of generalised quadrature methods.
- A method to generate generalized quadrature rules for oscillatory integrals
- Fast integration of rapidly oscillatory functions
- On numerical evaluation of integrals involving oscillatory Bessel and Hankel functions
- Fast computation of Bessel transform with highly oscillatory integrands
- Approximation of highly oscillatory integrals containing special functions
- Meshless and wavelets based complex quadrature of highly oscillatory integrals and the integrals with stationary points
- Numerical approximation of vector-valued highly oscillatory integrals
- On generalized quadrature rules for fast oscillatory integrals
- Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
- [https://portal.mardi4nfdi.de/wiki/Publication:3272169 Tables of Abscissas and Weights for Numerical Evaluation of Integrals of the Form � ∞ 0 e -x x n f(x) dx]
- A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
- Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations
- A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity