… In these works interval arithmetic and affine arithmetic were discussed for worst-case …
In addition by applying Chebyshev Affine Arithmetic (CAA) method, we are able to extract …

… accurate than standard affine arithmetic, and (ii) modified affine arithmetic is always more …
affine arithmetic is not only more accurate but also much faster than standard affine arithmetic…

… interval analysis and particularly affine arithmetic to tighten the … Evaluating e with affine
arithmetic without rewriting the … or sin, by their counterpart in affine arithmetic. We denote by Aff (e) …

… from abstract interpretation of course [8], but also over methods from applied mathematics,
most notably from the “guaranteed computations” or “interval” community (affine arithmetic [7] …

… Also, a modification, called Quantized Affine Arithmetic (QAA), has been applied to the
computation of limit cycles [19] and dynamic range analysis of quantized LTI algorithms [17]. …

… Uncertain loads and renewables can be then calculated by using Affine Arithmetic models.
… models of loads and renewables which were studied by Affine Arithmetic and Monte Carlo. …

… This approach (2) presents a new field entered by the application of affine arithmetic in
circuit simulation [7]–[9]. Design aids for integrated circuits based on probabilistic affine forms …

… by using affine arithmetic discussed in the next subsection. … Affine arithmetic (AA) does not
always yield a best and … Affine arithmetic takes each uncertainty of the signal into account in …

… uses affine arithmetic; … affine arithmetic for computing both the ranges of variables and for
the error bounds. In order to reduce the over-approximations introduced by affine arithmetic for …

… For the model-free as well as for the linear model-based case, we provide optimal evaluation
algorithms based on affine arithmetic and SAT modulo theory, solving over linear arithmetic…