Analysis of a collocation method for integrating rapidly oscillatory functions
نویسنده
چکیده
A collocation method for approximating integrals of rapidly oscillatory functions is analyzed. The method is efficient for integrals involving Bessel functions J,.(rx) with a large oscillation frequency parameter r, as well as for many other oneand 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. Ko'words. Oscillatory integrals; Collocation analysis A MS class(fication. 65D30
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