Mathieu function is the base of field theory analysis in elliptical cylinder coordinate system . so , firstly , detail investigation has been given about the problem of numerical analysis of matheiu functions , based on the predecessor ' s contribution , an improved faster algorithm of numerical analysis and confirmation algorithm of matheiu functions has been presented Mathieu函數(shù)是橢圓柱坐標(biāo)系統(tǒng)下場(chǎng)論分析的基礎(chǔ),因此本文首先對(duì)mathieu函數(shù)的數(shù)值計(jì)算問題進(jìn)行了詳細(xì)研究,并在前人基礎(chǔ)上完善并進(jìn)一步改進(jìn)了目前被認(rèn)為較為可行的數(shù)值算法,并提出了驗(yàn)證算法。