In addition, we introduce a procedure to prescribe Casimirs and remove the degeneracies in the steady vorticity equation, thus ensuring convergence for general vortex configurations.
Here, the line coupling is modelled by a series of point couplings with sufficient points to ensure convergence for the frequencies of interest.
We prove that the novel DSGDs satisfy coercivity, consistency, limit-conformity, and compactness requirements that ensure convergence for a variety of elliptic and parabolic problems.
From Figures 1,2 and3, the minimum required correction cycles ensuring convergence for carrier frequency offsets of 0.18, 0.48, and 0.6 are 2, 3, and 4, respectively, for the proposed method.
To ensure convergence for more complex models, we required iterations of up to 400 000 burn-in and 400 000 sample size.
Coalescent analyses were performed in SNAP workbench [ 56], with five independent runs (1 million simulations each) per genomic region to ensure convergence for each parameter estimate.
In order to ensure convergence of parameter estimates for each replicate dataset, we iteratively fit each of the models compared until we obtained three parameter optimizations with log-likelihood values within five units of the highest likelihood.
A burn-in phase of 5,000,000 accepted parameter combinations and a subsequent estimation phase of 10,000,000 accepted values ensured convergence of the MCMC for the high number of parameters that are estimated simultaneously.
Thirdly, the computational effort involved in implementing the model, for instance, to ensure convergence of the algorithm, might be prohibitive, if the ambition is to run the model in a realistic time frame (Dukic et al., 2012), while also attempting to assess model adequacy.
