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Numerical tests of convergence are conducted and the obtained results are compared to the exact values.
Tests of convergence must be performed for the particular values of n, and the range of field strengths of interest.
He also gave rational approximations of infinite series, tests of convergence of infinite series, estimate of an error term, early forms of differentiation and integration and the analysis of infinite continued fractions.
We perform numerical tests of convergence of the single particle method and show that at least in simple cases the method exhibits the exponential convergence typical of spectral methods.
In addition, for stochastic-based Monte Carlo techniques, researcher must rely on approximate tests of convergence.
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The new results for frequency parameters are incorporated after performing a test of convergence and validation in special cases with the available literature.
We should note that for the test of convergence, we use a uniform grid and choose (boldsymbol{v}=0.5sqrt{0.5} (1,1,0)), (beta=sqrt{0.5} (1,0,0)) resulting in an advection in direction of the upper-left diagonal.
The timing requirements of the proposed technique can be reduced further by using a stopping criterion based on some test of convergence of the multiobjective evolutionary process.
Authors' response: We have modified the method section concerning the test of convergence in order to be more explicit.
Only if h is so small that the test of convergence of the iteration is satisfied already after the first iteration step, the two approaches are equivalent.
Because the target distribution is the uniform one, the usual log-likelihood trace cannot be used for empirical testing of convergence.
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