Extended quadrature rules for oscillatory integrands

Applied Numerical Mathematics

Volumn 46, Issue 1, 2003, Pages 59-73

  Kim, KyungJoong ^a   Cools, Ronald ^b   Ixaru, L Gr ^c  

^a Seoul National University   (South Korea)

^b UNIVERSITY OF LEUVEN   (Belgium)

^c HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

Author keywords

Integration formula; Oscillatory integrand; Quadrature rule

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; INTEGRATION;

QUADRATURE RULES;

INTEGRAL EQUATIONS;

EID: 0038517139     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(03)00009-6     Document Type: Article

References (9)

1. Ixaru L.Gr. Numerical Methods for Differential Equations and Applications. 1984;Reidel, Dordrecht.
2. Ixaru L.Gr. Numerical operations on oscillatory functions. Comput. Chemistry. 25:2001;39-53.
3. Ixaru L.Gr. Operations on oscillatory functions. Comput. Phys. Comm. 105:1997;1-19.
4. Ixaru L.Gr., De Meyer H., Vanden Berghe G., Van Daele M. Expfit4 - A Fortran program for the numerical solution of systems of non-linear second order initial value problems. Comput. Phys. Comm. 100:1997;71-80.
5. Ixaru L.Gr., Paternoster B. A Gauss quadrature rule for oscillatory integrands. Comput. Phys. Comm. 133:2001;177-188.
6. Kim K.J., Cools R., Ixaru L.Gr. Quadrature rules using first derivatives for oscillatory integrands. J. Comput. Appl. Math. 140:2002;479-497.
7. Krylov V.I. Approximate Calculation of Integrals. 1962;Macmillan, New York.
8. MAPLE, Waterloo Maple Inc., Waterloo, ON, Canada.
9. Pryce J.D. Numerical Solution of Sturm-Liouville Problems. 1993;Oxford University Press, Oxford.