一类二维加权积分数值求积方法及其误差分析  

A Numerical Method for a Double Integral of a Weighted Functions and Error Analysis

作　　者：吴一刚[1] 侯首萍[1] 

机构地区：[1]北京农学院基础科学系,北京102206

出　　处：《北京农学院学报》2007年第3期66-68,共3页Journal of Beijing University of Agriculture

摘　　要：针对一类二维加权积分的数值计算方法及误差分析进行研究,参照一维广义高斯积分数值求积方法提出一种具有较高代数精度的计算方法并对其误差做分析,同时给出几个简明的结果。这些结果可用到诸如小波分解,图像处理与多分辨数字信号处理等领域。This paper focusesl on the computational aspect of a double integral of a weighted functions and presented a numerical method which had a higher algebraic precision and analyzes its error according to the numerical method of a single generalized gause integral, and meanwhile several simple results was obtained and could be applied in such fields as wavelet deeomposion, image processing, multi-resolutional digital signal processing.

关 键 词：函数逼近 积分计算 勒让得多项式 误差分析 代数精度 

分 类 号：O242.2[理学—计算数学]