Algorithms for Calculating Alternating Infinite Series

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Garcia, Hector Luna^1 ; Garcia, Luz Maria^1

Área de Física Atómica Molecular Aplicada, CBI, UAM-A, Av. San Pablo No. 180, Col. Reynosa, Azcapotzalco, México, D. F.

02200, Mexico^1

关键词: Infinite series;    Novel algorithm;    SIMPLE method;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012117/pdf
DOI  :  10.1088/1742-6596/574/1/012117

来源: IOP

【 摘 要 】

This paper are presented novel algorithms for exact limits of a broad class of infinite alternating series. Many of these series are found in physics and other branches of science and their exact values found for us are in complete agreement with the values obtained by other authors. Finally, these simple methods are very powerful in calculating the limits of many series as shown by the examples.