Name
Title | ||
|---|---|---|
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. |
Abstract | ||
|---|---|---|
In this paper, based on the asymptotic property of the solution, we derive the corresponding convergence rates in terms of the frequency for the direct-Filon and linear continuous collocation methods, which solves an open problem in Brunner (2010) [1]. Numerical tests verify that the asymptotic orders obtained are optimal. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.aml.2013.01.011 | Applied Mathematics Letters |
Keywords | Field | DocType |
Convergence,Filon method,Collocation method,Volterra integral equation | Kernel (linear algebra),Convergence (routing),Numerical tests,Mathematical optimization,Open problem,Mathematical analysis,Collocation method,Mathematics,Volterra integral equation,Bessel function,Collocation | Journal |
Volume | Issue | ISSN |
26 | 7 | 0893-9659 |
Citations | PageRank | References |
8 | 0.64 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Junjie Ma | 1 | 148 | 15.24 |
| Shuhuang Xiang | 2 | 317 | 39.79 |
| Hongchao Kang | 3 | 61 | 5.60 |