… work is the proposition of two methods based on traditional interval arithmetic to reduce
the diameter of the solution and achieve similar results when compared with Affine Arithmetic …

… bounds instead of mathematically guaranteed bounds, the tightness of the bounds can be
substantially improved compared to the mainstream interval arithmetic and affine arithmetic …

… Affine arithmetic allows us to provide much tighter bounds in the computing process of
interval bounds of importance measures, avoiding the error explosion problem. The efficiency of …

→ Conclusion. Classical interval techniques (Moore’s arithmetic, affine arithmetic etc) can
be used for systematic errors propagating (but, of course, if we use interval methods for …

… , we use a static analysis based on affine arithmetic to compute an upper bound on the error.
… limitations in using static analysis based on affine-arithmetic, but our search method works …

… The utilization of affine arithmetic and other improved techniques of reliable computing in
the field of modeling can be found in [3,4]. For moving multibody models a continuous collision …

… To solve the dependency phenomenon of the interval operation, the affine arithmetic is
integrated into the Chebyshev polynomial expansion. The computational effectiveness and …

… less accurate than a modified affine arithmetic method (MAA) … showed that the modified
affine arithmetic method is one of … method and the modified affine arithmetic method. As noted …

… we developed and used to analyse the Tau Cell is based on affine arithmetic concepts and
overcomes the difficulties mentioned above. An affine arithmetic number can be defined as, …

… affine arithmetic, although the latter is usually presented as the superior approach. Indeed,
for the tracking of roundoff errors we have shown affine arithmetic … , since affine arithmetic has …