Analysis of a collocation method for integrating rapidly oscillatory functions

Journal of Computational and Applied Mathematics

Volumn 78, Issue 1, 1997, Pages 131-138

  Levin, David ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Collocation analysis; Oscillatory integrals

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERRORS; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

BESSEL FUNCTION; COLLOCATION METHOD; OSCILLATORY FUNCTIONS;

INTEGRATION;

EID: 0031550497     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00137-9     Document Type: Article

References (3)

1. D. Levin, Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations, Math. Comp. 38 (1982) 531-538.
2. D. Levin, Fast integration of rapidly oscillatory functions, J. Comput. Appl. Math. 63 (1995) 95-101.
3. D. Levin, L. Reichel and C. Ringhofer, Analysis of an integration method for rapidly oscillating integrands, MRC Report No. 2670, 1984.