Moment-free numerical integration of highly oscillatory functions

IMA Journal of Numerical Analysis

Volumn 26, Issue 2, 2006, Pages 213-227

  Olver, Sheehan ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Highly oscillatory integrals; Numerical quadrature

Indexed keywords

COMPUTATION OF MOMENTS; FILON-TYPE METHODS; HIGHLY OSCILLATORY INTEGRALS; NUMERICAL INTEGRATIONS; NUMERICAL QUADRATURE; OSCILLATORY FUNCTIONS; POINT OF DEPARTURES; SAMPLE POINT;

INTEGRAL EQUATIONS;

EID: 33645732701     PISSN: 02724979     EISSN: 14643642     Source Type: Journal    
DOI: 10.1093/imanum/dri040     Document Type: Article

References (5)

1. ABRAMOWITZ, M. & STEGUN, I. A. (eds) (1964) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Washington, DC: U. S. Government Printing Office.
2. ISERLES, A. & NØRSETT, S. P. (2005) Efficient quadrature of highly oscillatory integrals using derivatives. Proc. R. Soc. A., 461, 1383-1399.
3. LEVIN, D. (1997) Analysis of a collocation method for integrating rapidly oscillatory functions. J. Comput. Appl. Math., 78, 131-138.
4. POWELL, M. J. D. (1981) Approximation Theory and Methods. Cambridge: Cambridge University Press.
5. XIANG, S.-H. (2005) On the numerical quadrature of highly oscillatory functions. Technical Report. Hunan, China: Central South University.