基于sinc函数不完全余弦展开的采样方法：应用于Voigt/复误差函数
Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function
AI总结：
本文提出基于不完全余弦展开的新型采样方法，通过高效且实用的数值积分展示其优势，实现复误差函数的高精度有理近似。
摘要：
本文提出了一种基于不完全余弦展开系列的新采样方法，作为传统sinc函数方法的替代方案。数值积分显示该方法高效实用。应用不完全余弦展开可获得复误差函数的有理近似，其在相同求和项数下，精度超过Weideman的近似精度几个数量级。展开应用结果为仅包含基本函数项的积分。因此，该方法在准确性和快速计算方面具有优势。
英文摘要：
A new sampling methodology based on incomplete cosine expansion series is presented as an alternative to the traditional sinc function approach. Numerical integration shows that this methodology is efficient and practical. Applying the incomplete cosine expansion we obtain a rational approximation of the complex error function that with the same number of the summation terms provides an accuracy exceeding the Weideman\text{'}s approximation accuracy by several orders of the magnitude. Application of the expansion results in an integration consisting of elementary function terms only. Consequently, this approach can be advantageous for accurate and rapid computation.
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。
