Approximation of highly oscillatory integrals containing special functions
From MaRDI portal
Publication:2332684
DOI10.1016/j.cam.2019.112372zbMath1490.65036OpenAlexW2965862612MaRDI QIDQ2332684
Iqrar Hussain, Sakhi Zaman, Siraj-ul-islam
Publication date: 5 November 2019
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.2019.112372
multi-resolution quadraturemeshless-Levin collocation methodoscillatory Airy functionsquared oscillatory Bessel function
Related Items (9)
Multidimensional van der Corput-type estimates involving Mittag-Leffler functions ⋮ On optimal convergence rates of Laguerre polynomial expansions for piecewise functions ⋮ Approximation of oscillatory Bessel integral transforms ⋮ A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square ⋮ Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type ⋮ Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator ⋮ Effective collocation methods to solve Volterra integral equations with weakly singular highly oscillatory Fourier or Airy kernels ⋮ New algorithms for approximation of Bessel transforms with high frequency parameter ⋮ A stable kernel-based technique for solving linear Fredholm integral equations of the second kind and its applications
Cites Work
- Unnamed Item
- Numerical evaluation of a class of highly oscillatory integrals involving Airy functions
- New quadrature rules for highly oscillatory integrals with stationary points
- Analysis of a collocation method for integrating rapidly oscillatory functions
- Numerical integration of oscillatory Airy integrals with singularities on an infinite interval
- Efficient numerical methods for Bessel type of oscillatory integrals
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- A comparative study of numerical integration based on Haar wavelets and hybrid functions
- Numerical analysis of a fast integration method for highly oscillatory functions
- Some theoretical aspects of generalised quadrature methods.
- A method to generate generalized quadrature rules for oscillatory integrals
- On Van der Corput-type lemmas for Bessel and Airy transforms and applications
- Fast integration of rapidly oscillatory functions
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- Efficient quadrature for highly oscillatory integrals involving critical points
- Fast, numerically stable computation of oscillatory integrals with stationary points
- 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
- A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
- Fast integration of highly oscillatory integrals with exotic oscillators
- Moment-free numerical approximation of highly oscillatory integrals with stationary points
- Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations
- On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
- Numerical methods for multivariate highly oscillatory integrals
- Moment-free numerical integration of highly oscillatory functions
- A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
This page was built for publication: Approximation of highly oscillatory integrals containing special functions
