An adaptive contour code for the numerical evaluation of the oscillatory cuspoid canonical integrals and their derivatives

Abstract
We present a code to compute the oscillatory cuspoid canonical integrals and their first order partial derivatives. The algorithm is based on the method of Connor and Curtis [J. Phys. A 15 (1982) 1179–1190], in which the integration path along the real axis is replaced by a more convenient contour in the complex plane, rendering the oscillatory integrand more amenable to numerical quadrature. Our code is a modern implementation of this method, presented in a modular fashion as a Fortran 90 mo...

Title of program: cuspint
Catalogue Id: ADMP_v1_0

Nature of problem
The theoretical treatment of short wavelength scattering phenomena often involves the uniform asymptotic evaluation of oscillating integrals with several coalescing saddle points. An important practical problem then is the numerical evaluation of the cuspoid canonical integrals and their first order partial derivatives.

Versions of this program held in the CPC repository in Mendeley Data
ADMP_v1_0; cuspint; 10.1016/S0010-4655(00)00126-0

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
本报告提出了一种计算振荡双曲正则积分及其一阶偏导数的算法。该算法基于Connor和Curtis的方法[J. Phys. A 15 (1982) 1179–1190]，其中沿实轴的积分路径被复平面中更为便捷的轮廓所替代，从而使得振荡被积函数更加易于数值积分。我们的代码是该方法的现代实现，以模块化方式呈现，采用Fortran 90编写...
程序标题：cuspint
目录编号：ADMP_v1_0
问题性质
短波长散射现象的理论处理通常涉及具有多个合并鞍点的振荡积分的均匀渐近计算。因此，一个重要的实际问题就是数值评估双曲正则积分及其一阶偏导数。
本程序版本存放在Mendeley数据中心的CPC程序库中
ADMP_v1_0; cuspint; 10.1016/S0010-4655(00)00126-0
本程序已从贝尔法斯特女王大学（1969-2019）所持有的CPC程序库中导入