A parameter method for computing highly oscillatory integrals
This paper presents a new efficient parameter method for integration of the highly oscillatory integral integral(1)(0)f(x)e(i omega g(x))dx with an irregular oscillator. The effectiveness and accuracy are tested by means of numerical examples for the case where g(x) has stationary points. (C) 2009 Elsevier Ltd. All rights reserved.
oscillatory integrals irregular oscillator numerical quadrature fourier integrals asymptotic