有理函数的Gauss型求积法则
Gauss-type quadrature rules for rational functions
AI总结：
本文针对积分区间外有极点的函数，提出求积法则应精确积分匹配极点的有理函数，并给出两种数值生成方法及计算经验。
摘要：
当积分函数在积分区间外有极点但在其他区域正则时，建议所考虑的求积法则不仅应精确积分多项式（如有），还应精确积分合适的有理函数。这些有理函数的选择应匹配被积函数最重要的极点。我们描述了两种数值生成此类求积法则的方法，并报告了它们的计算经验。
英文摘要：
When integrating functions that have poles outside the interval of integration, but are regular otherwise, it is suggested that the quadrature rule in question ought to integrate exactly not only polynomials (if any), but also suitable rational functions. The latter are to be chosen so as to match the most important poles of the integrand. We describe two methods for generating such quadrature rules numerically and report on computational experience with them.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
