摘要
本文考虑了一种基于函数积分平均值的函数重构方法,在定义了一个插值算子之后建立了误差估计.从理论分析结果可以看出这种方法得到的解是适定的,因此我们不需要选择正则化参数,这样就简化了算法,而且最后一系列的数值结果很好的验证了这种方法的有效性.
In this paper we propose a method for the function reconstruction from average values of integration. The error estimates are established after intruducing a suitable interpolation operator.We can see that the solution of the problem is well-posed and hence we do not need regularization for the alogrithm.Some of numerical examples are also given to illustrate the effectiveness of the method.
出处
《应用数学与计算数学学报》
2008年第1期46-54,共9页
Communication on Applied Mathematics and Computation
关键词
积分平均值
插值算子
函数重构
数值微分
average value of integration, interpolation operator, function reconstruction, numerical differentiation