Highly oscillatory integrals require special techniques for their effective evaluation. Various studies have been conducted to find computational methods for evaluating such integrals. In this paper we present an efficient numerical method to evaluate a class of generalised Fourier integrals (on a l
Efficient integration for a class of highly oscillatory integrals
โ Scribed by Hongchao Kang; Shuhuang Xiang
- Book ID
- 113439815
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 298 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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๐ SIMILAR VOLUMES
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.
## Abstract Quantum chemical calculations of polymers and solids, especially on an __ab initio__ level, represent a large computational task and therefore necessitate efficient computing methods. This is particularly true for the oscillatory integrals appearing in such calculations. For these integ