Numerical analysis of a fast integration method for highly oscillatory functions
โ Scribed by Shuhuang Xiang
- Publisher
- Springer Netherlands
- Year
- 2007
- Tongue
- English
- Weight
- 872 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0006-3835
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๐ SIMILAR VOLUMES
A collocation method for approximating integrals of rapidly oscillatory functions is analyzed. The method is efficient for integrals involving Bessel functions J,.(rx) with a large oscillation frequency parameter r, as well as for many other one-and multi-dimensional integrals of functions with rapi
This paper presents a new efficient parameter method for integration of the highly oscillatory integral 1 0 f (x)e iฯg(x) dx with an irregular oscillator. The effectiveness and accuracy are tested by means of numerical examples for the case where g(x) has stationary points.