… i, and evaluate the lower and upper bounds using affine arithmetic [1, 6]. By partially replacing
the substitutions of intervals with points and using affine arithmetic, the spread of intervals …

… The symbolic information included in our model when we evaluate the Taylor models with
affine arithmetic, will allow us to use existing work on the inner-approximation of joint range of …

… We can now use our outer approximation methods using affine arithmetic to get an inner …
real numbers based on generalized affine arithmetic. In SAS, pages 137–152, 2007. [18] E. …

… 2 gives a review on interval arithmetic and affine arithmetic. The presented performance
bound … Next we show how affine arithmetic can be applied to compute the variational transfer …

… network simulations, we have developed the Arpra library: an open source C library for
arbitrary precision range analysis based on the mixed Interval Arithmetic (IA)/Affine Arithmetic (AA…

… This is obtained by deploying a solution paradigm based on affine arithmetic (AA), which is
an enhanced paradigm for range analysis. The main benefit of AA is that, unlike standard IM, …

… XAAF implements control- and data flow operations of C++ on (Extended) Affine Arithmetic
Forms. Its basic form is mostly identical to the general form of uncertainties from the previous …

… The affine arithmetic model (AA) is a derivation of IA, in which the quantities of interest are
… following sections that rely on interval and affine arithmetic. 2.1Intervaland Affine Arithmetic …

… for complex affine multiplication of affine arithmetic based distribution power flow study that
does … The developed enhanced affine arithmetic based distribution power flow analysis was …

… , such as division (common in numerical algorithms), can lead to severe over-allocation
and even indeterminacy for the existing formal methods based on interval or affine arithmetic. …