Completed Richardson extrapolation in space and time

Validation of edge turbulence codes in a magnetic X-point scenario in TORPEX

“…We also note that here we do not consider the errors in simulations, since their rigorous evaluation would require a parameter scan which would be computationally too expensive. Alternatively, an indication on simulation uncertainties introduced by time and space discretization could be given based on the method of the Richardson extrapolation [62], as previously done in [63]. Also this method would be computationally very challenging.…”

A Comparison Study of Two High Accuracy Numerical Methods for a Parabolic System in Air Pollution Modelling

“…If in (18) the more detailed analysis of the LTE is done, then the prolongation of the idea of space-time Richardson extrapolation [13] can be applied.…”

Performance evaluation of a manufacturing process under uncertainty using Bayesian networks

“…Discretization error arises when the solution of a continuum domain is computed using numerical techniques (e.g., finite element methods) which involve discretization of the continuum domain. Discretization error can be quantified by comparing solutions with different levels of discretization (Richards;1997, Rangavajhala et al;. Surrogate models are often used when high fidelity physics models are computationally expensive.…”

“…Dimension reduction techniques in the literature are classified into two typesfilter approach (Saeys et al;2007) and wrapper approach (Kohavi and John;1997). In the filter approach, all input variables are ranked according to a ranking criterion and the most significant variables can be selected.…”