Journal article
Moment-free numerical approximation of highly oscillatory integrals with stationary points
- Abstract:
-
This article presents a method for the numerical quadrature of highly oscillatory integrals with stationary points. We begin with the derivation of a new asymptotic expansion, which has the property that the accuracy improves as the frequency of oscillations increases. This asymptotic expansion is closely related to the method of stationary phase, but presented in a way that allows the derivation of an alternate approximation method that has similar asymptotic behaviour, but with significantl...
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- Publication status:
- Published
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Bibliographic Details
- Journal:
- EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Volume:
- 18
- Issue:
- 4
- Pages:
- 435-447
- Publication date:
- 2007-08-01
- DOI:
- EISSN:
-
1469-4425
- ISSN:
-
0956-7925
Item Description
- Language:
- English
- Pubs id:
-
pubs:20260
- UUID:
-
uuid:a1114c55-d27b-41fc-ae9d-2dcf39cc6b11
- Local pid:
- pubs:20260
- Source identifiers:
-
20260
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2007
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