Clenshaw–Curtis algorithms for an efficient numerical approximation of singular and highly oscillatory Fourier transform integrals-Reference-Cited by-同舟云学术

Clenshaw–Curtis algorithms for an efficient numerical approximation of singular and highly oscillatory Fourier transform integrals

Published:2021-03 Issue: Volume:385 Page:113201
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Kayijuka I.,Ege Ş.M.,Konuralp A.,Topal F.S.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference32 articles.

1. On the Numerical Solution of First-Kind Volterra Integral Equations with Highly Oscillatory Kernels;Brunner,2010

2. Open Problems in the Computational Solution of Volterra Functional Equations with Highly Oscillatory Kernels;Brunner,2007

3. A class of oscillatory singular integrals;Lu;Int. J. Appl. Math. Sci.,2005

4. A numerical integration formula for the solution of the singular integral equation for classical crack problems in plane and antiplane elasticity;Hamed;J. King Saud Univ. Eng. Sci.,1991

5. Mathematical Methods for Physicists;Arfken,2005

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multi-Effective Collocation Methods for Solving the Volterra Integral Equation with Highly Oscillatory Fourier Kernels;Mathematics;2023-10-11

2. Effective collocation methods to solve Volterra integral equations with weakly singular highly oscillatory Fourier or Airy kernels;International Journal of Computer Mathematics;2023-04-28

3. Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis;Applied Mathematics and Computation;2023-04

4. MODIFIED COLLOCATION METHODS FOR SECOND KIND OF VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR HIGHLY OSCILLATORY BESSEL KERNELS;Journal of Applied Analysis & Computation;2023

5. AN EFFICIENT ALGORITHM FOR EVALUATION OF OSCILLATORY INTEGRALS HAVING CAUCHY AND JACOBI TYPE SINGULARITY KERNELS;J APPL MATH INFORM;2022