A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square
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Publication:6126017
DOI10.1016/j.cam.2023.115599MaRDI QIDQ6126017
Publication date: 9 April 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Clenshaw-Curtis pointsFilon-type methodunisolvencebivariate Hermite interpolationbivariate oscillatory integral
Cites Work
- Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities
- Error analysis of the extended filon-type method for highly oscillatory integrals
- On the solvability of bivariate Hermite-Birkhoff interpolation problems
- Unique solvability in bivariate Hermite interpolation
- On multivariate interpolation by generalized polynomials on subsets of grids
- A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals
- On numerical evaluation of integrals involving oscillatory Bessel and Hankel functions
- Approximation of Cauchy-type singular integrals with high frequency Fourier kernel
- New algorithms for approximation of Bessel transforms with high frequency parameter
- On product integration rules for highly oscillatory integrals on a triangle
- Asymptotic expansion of the integral with two oscillations on an infinite interval
- A unified framework for asymptotic analysis and computation of finite Hankel transform
- Approximation of highly oscillatory integrals containing special functions
- Numerical approximation of vector-valued highly oscillatory integrals
- On the quadrature of multivariate highly oscillatory integrals over non-polytope domains
- On quadrature methods for highly oscillatory integrals and their implementation
- Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Fast integration of highly oscillatory integrals with exotic oscillators
- The Construction of cubature rules for multivariate highly oscillatory integrals
- Exact integration of polynomial-exponential products with application to wave-based numerical methods
- Computing Highly Oscillatory Integrals
- Quadrature Methods for Highly Oscillatory Singular Integrals
- The kissing polynomials and their Hankel determinants
- Numerical methods for multivariate highly oscillatory integrals
- On an extended Filon method for highly oscillatory integrals over a simplex
- Efficient quadrature of highly oscillatory integrals using derivatives
- Quadrature methods for multivariate highly oscillatory integrals using derivatives
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