On Numerical Challenge for the Distinction Between Smooth Functions and Analytic Functions
On Numerical Challenge for the Distinction Between Smooth Functions and Analytic Functions
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区分光滑函数和解析函数的数值挑战
DOI：
10.11345/nctam.62.107
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
H. Sakaguchi
中科院分区：
文献类型：
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作者：
K. Datta;H. Imai;H. Sakaguchi
在本文中，我们提供了调查的性质的函数的数值实验。特别是，我们专注于平滑度。数值试验中采用了两种方法。一个是插值问题，另一个是拉普拉斯算子的柯西问题。利用谱配置法和多精度算法进行了数值试验。数值结果表明了区分光滑函数与解析函数的数值计算的可能性。
In the paper, we present numerical experiments for investigation of a property of functions. Especially, we focus on the smoothness. Two kinds of methods are used in numerical experiments. One is the interpolation and the other is the Cauchy problem for the Laplace operator. Numerical experiments are performed by using the spectral collocation method and a multiple—precision arithmetic. Numerical re—sults show the possibility of the numerical computation for the distinction between smooth functions and analytic functions.