飞机尾流是飞机飞行时在其后方形成的一对反向旋转的强烈旋涡, 是航空安全和大气物理等领域
的特别关注的研究对象, 飞机尾流的特性和探测是其行为预测和危害评估等研究的基础 …

The main theme of this paper is to develop new Filon and Levin methods for highly
oscillatory integrals. The novel method is based on the spline reproducing kernel functions …

Born approximation is widely used in (inverse) scattering problems to alleviate the
computational di±culty, but its validity and applicability are not well defined. In this paper, a …

An adaptive splitting algorithm was implemented for numerical evaluation of Fourier-type
highly oscillatory integrals involving stationary point. Accordingly, a modified Levin …

We present a method for the numerical computation of Fourier–Bessel transforms on a finite
or infinite interval. The function to be transformed needs to be evaluated on a grid of points …

Highly oscillatory integrals are frequently involved in applied problems, particularly for large-
scale data and high frequencies. Levin method with global radial basis functions was …

飞机尾流是飞机飞行时在其后方产生的一对反向旋转的强烈湍流, 对后续飞机飞行安全具有重大
影响, 其探测已成为制约机场容量增长和影响空中交通安全管理的瓶颈, 亟需发展飞机尾流雷达 …

The Levin method is a well-known technique for evaluating oscillatory integrals, which
operates by solving a certain ordinary differential equation in order to construct an …

Some specific nonstandard methods for numerical integration of highly oscillating functions,
mainly based on some contour integration methods and applications of some kinds of …

In this paper new algorithms are being proposed for evaluation of highly oscillatory integrals
(HOIs) with stationary point (s). The algorithms are based on modified Levin quadrature …