Yongxiong Zhou
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Yongxiong Zhou has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
Ruyun Chen
1 shared publication- Ruyun Chen
School of Mathematics and Computer, Guangdong Ocean University, Mazhang, Zhanjiang, China
1 shared publication - Ruyun Chen
Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China
1 shared publication Yu Li
1 shared publication
Latest Publications
- 24 April 2025
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 236, 320-333
Numerical steepest descent method for computing oscillatory-type Bessel integral transforms
- 24 April 2025
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 236, 320-333
Numerical steepest descent method for computing oscillatory-type Bessel integral transforms
- 28 August 2024
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 456
On quadrature of highly oscillatory Bessel function via asymptotic analysis of simplex integrals
- 28 August 2024
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 456
On quadrature of highly oscillatory Bessel function via asymptotic analysis of simplex integrals
- Open Access
The Convergence Rate on a Quadrature of a Fourier Integral with Symmetrical Jacobi Weight for an Analytical Function
In this paper, through complex analysis, the convergence rate is given on a quadrature of a Fourier integral with symmetrical Jacobi weight. The interpolation nodes of this quadrature formula are expressed by the frequency, and the coefficients can be expressed by the Bessel function. When the frequency is close to 0, the nodes are close to those in the Gauss quadrature. When the frequency tends to infinity, the nodes tend symmetrically to the two ends of the integrand. The higher the frequency is, the higher the accuracy of this quadrature will be. Numerical examples are provided to illustrate the theoretical results.
Open AccessThe Convergence Rate on a Quadrature of a Fourier Integral with Symmetrical Jacobi Weight for an Analytical Function
In this paper, through complex analysis, the convergence rate is given on a quadrature of a Fourier integral with symmetrical Jacobi weight. The interpolation nodes of this quadrature formula are expressed by the frequency, and the coefficients can be expressed by the Bessel function. When the frequency is close to 0, the nodes are close to those in the Gauss quadrature. When the frequency tends to infinity, the nodes tend symmetrically to the two ends of the integrand. The higher the frequency is, the higher the accuracy of this quadrature will be. Numerical examples are provided to illustrate the theoretical results.