TY - JOUR
T1 - Analysis of a collocation method for integrating rapidly oscillatory functions
AU - Levin, David
PY - 1997/2/3
Y1 - 1997/2/3
N2 - A collocation method for approximating integrals of rapidly oscillatory functions is analyzed. The method is efficient for integrals involving Bessel functions Jv(rx) with a large oscillation frequency parameter r, as well as for many other one-and multi-dimensional integrals of functions with rapid irregular oscillations. The analysis provides a convergence rate and it shows that the relative error of the method is even decreasing as the frequency of the oscillations increases.
AB - A collocation method for approximating integrals of rapidly oscillatory functions is analyzed. The method is efficient for integrals involving Bessel functions Jv(rx) with a large oscillation frequency parameter r, as well as for many other one-and multi-dimensional integrals of functions with rapid irregular oscillations. The analysis provides a convergence rate and it shows that the relative error of the method is even decreasing as the frequency of the oscillations increases.
KW - Collocation analysis
KW - Oscillatory integrals
UR - http://www.scopus.com/inward/record.url?scp=0031550497&partnerID=8YFLogxK
U2 - 10.1016/S0377-0427(96)00137-9
DO - 10.1016/S0377-0427(96)00137-9
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AN - SCOPUS:0031550497
SN - 0377-0427
VL - 78
SP - 131
EP - 138
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1
ER -