Fast integration of rapidly oscillatory functions

Journal of Computational and Applied Mathematics

Volumn 67, Issue 1, 1996, Pages 95-101

  Levin, David ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Collocation; Oscillatory integrals

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS;

BESSEL FUNCTIONS; COLLOCATION; NUMERICAL INTEGRATION ALGORITHMS; OSCILLATION PARAMETER; OSCILLATORY INTEGRALS;

INTEGRATION;

EID: 0030078931     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(94)00118-9     Document Type: Article

References (8)

1. L.N. Filon, On a quadrature formula for trigonometric integrals, Proc. Roy. Soc. Edinburgh 49 (1928) 38-47.
2. E.A. Flinn, A modification of Filon's method of numerical integration, J. Assoc. Comput. Mach. 7 (1960) 181-184.
3. D. Levin, Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations, Math. Comput. 38 (1982) 531-538.
4. I.M. Longman, A method for numerical evaluation of finite integrals of oscillatory functions, Math. Comput. 14 (1960) 53-59.
5. R. Piessens and M. Branders, Modified Clenshaw-Curtis method for the computation of Bessel functions integrals, BIT 23 (1983) 370-381.
6. R. Piessens and M. Branders, An algorithm for the computation of Bessel functions integrals, J. Comput. Appl. Math. 11 (1984) 119-137.
7. R. Piessens and M. Branders, A survey on numerical methods for the computation of Bessel functions integrals, Rend. Sem. Mat. Univ. Politec. Torino (1985) 249-265.
8. M. Puoskari, A method for computing Bessel functions integrals, J. Comput. Phys. 75 (1988) 334-344.