… A powerful algorithm-based on affine arithmetic (AA) is used to model the uncertain
variables, for the aforementioned analysis, and a punctual analysis mechanism proved to be …

… First, the dynamic range is evaluated using the interval arithmetic or the affine arithmetic …
The solution w IA obtained from interval arithmetic or affine arithmetic is used as a starting …

… radial power flow analysis supported by interval mathematics [32] or affine arithmetic [33].
He was the first to introduce an affine arithmetic approach [33] to find the distribution network’s …

This thesis is devoted to the problem of computing reachable sets of linear and hybrid
systems. In the first part, after exposing existing approaches for reachability analysis of linear …

… Affine Arithmetic method Affine Arithmetic (AA) is also a method for interval analysis [CS93].
The method is proposed to avoid extremely increasing intervals like it happens with IA. In AA…

… Note that more recent work exists on increasing the accuracy of affine arithmetic [10, 19…
affine arithmetic. We will denote by Aff(e) the evaluation of the expression e using affine arithmetic…

… adaptive enumerations can be computed more efficiently by using tighter interval estimates
provided by affine arithmetic. … Adaptive enumeration of implicit surfaces with affine arithmetic …

… The novel model is further expanded considering uncertainties in electricity prices using
RO and Affine Arithmetic (AA) approaches. The AA method keeps track of correlated …

… The tool uses affine arithmetic to provide sound overapproximations of roundoff errors,
allowing for generation of finite precision implementations that fulfill the required precision given …

… 30 1.13 Computed enclosure on v5 using affine arithmetic (in green) and curve of the … )
with the enclosures obtained by interval and affine arithmetic (in green and blue respectively)…