Abstract
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 results show the possibility of the numerical computation for the distinction
between smooth functions and analytic functions.
