本文選題：多元函數(shù) + 矩形網(wǎng)格�。� 參考：《北京服裝學(xué)院學(xué)報(bào)(自然科學(xué)版)》2017年03期

【摘要】：在計(jì)算數(shù)學(xué)研究中,多元函數(shù)插值問題是目前比較重要的話題.為了判斷另外兩類二元有理插值函數(shù)是否有解,得到二元有理插值函數(shù)的計(jì)算公式,在矩形網(wǎng)格上,我們根據(jù)二元多項(xiàng)式拉格朗日插值的計(jì)算公式,當(dāng)有解情況下,獲得了另外兩類二元有理插值問題具體計(jì)算公式,同時(shí)得到了判斷這兩類有理插值問題有解的充分必要條件.實(shí)例表明,給出的二元有理插值是否有解的判別方法和計(jì)算公式是實(shí)用的.
[Abstract]:In the study of computational mathematics, the problem of multivariate function interpolation is an important topic at present. In order to judge whether the other two kinds of two element rational interpolating functions have solutions, we get the formula of the two element rational interpolation function. On the rectangular grid, we obtain the other formula according to the formula of the two element polynomial Lagrange interpolation. The specific calculation formulas for the two kinds of two element rational interpolation problems are obtained. At the same time, the sufficient and necessary conditions for judging the solution of the two kinds of rational interpolation problems are obtained. The example shows that the method and formula for the solution of the two element rational interpolation are practical.

【作者單位】： 北京服裝學(xué)院基礎(chǔ)教學(xué)部;
【基金】：北京市教委科技計(jì)劃一般項(xiàng)目(SQKM201710012009) 北京服裝學(xué)院教育教學(xué)改革立項(xiàng)項(xiàng)目(JG-1624);北京服裝學(xué)院校級精品課程提升工程立項(xiàng)項(xiàng)目(JPTS-1609)
【分類號】：O241.3
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本文編號：1830234