一类高振荡积分的快速数值方法

摘要

Based on a diffeomorphism transformation, an efficient Filon-type numerical method of highly oscillatory integrals is obtained. Furthermore, the convergence of the numerical method is investigated. Examples are given for demonstrating that the numerical method has good effectiveness and accuracy.%　　基于微分同胚变换，得到了一类高振荡积分的一种非常有效的Filon型数值方法，并研究了该数值方法的收敛性，数值例子表明该数值方法非常有效。