| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4626708 | Applied Mathematics and Computation | 2015 | 10 Pages |
Abstract
In this paper a quadrature rule is discussed for highly oscillatory integrals with logarithmic singularities. At the same time, its error depends on the frequency ω and the computation of its moments are given. The new rule is implemented by interpolating f at Chebyshev nodes and singular point where the interpolation polynomial satisfies some conditions. Numerical experiments conform the efficiency for obtaining the approximations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ruyun Chen, Xiaoliang Zhou,