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一种积分数据的函数重构及其误差估计 被引量：1

A Function Reconstruction from Integral Data and Its Error Estimate
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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.
作者 刘伟 贺国强 赵振宇
机构地区 上海大学理学院数学系
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
分类号 O241.3 [理学—计算数学]
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参考文献10

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共引文献18

同被引文献7

  • 1康传刚,贺国强.一种广义插值法[J].应用数学与计算数学学报,2006,20(2):28-36. 被引量：2
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  • 7孙家昶.样条函数与计算几何[M].北京:科学出版社,1982..

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应用数学与计算数学学报
2008年 第1期

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