… This formulation of our condition is linear in x and y and so can be computed exactly using
affine arithmetic. This means that we can define a decision procedure that, given a λ, can …

… 1 we introduce an alternative auto-validating approach, affine arithmetic. In Sect. 3.1 we …
3.2 we describe our proposed alternative method that uses affine arithmetic, and compare …

A new all solution algorithm is proposed for parameter-dependent nonlinear equations. In this
algorithm, affine arithmetic[1], which is more accurate than interval arithmetic[2], is used for …

… This paper presents two analytic modeling techniques for evaluating error properties and
output quality in imprecise arithmetic circuits, based on Interval Arithmetic and Affine Arithmetic. …

… [3] Frédéric Messine, Extentions of Affine Arithmetic: Application to Unconstrained Global
Optimization, Journal of Universal Computer Science 8 no. 11 (2002), 992– 1015. … Martin …

… Several numerical results are presented and discussed, demonstrating the effectiveness of
the proposed methodology and comparing it to a previously proposed affine arithmetic based …

This paper aims to present a methodology to identify Voltage Control Areas (VCA) for
Secondary Voltage Control (SVC). The proposed methodology consists in the representation of …

… The symbolic circuit analyser demonstrated here is defined with affine arithmetic concepts
… in the conventional models based on affine arithmetic concepts. The details of model …

… In this paper we propose to use Revised Affine Arithmetic as a fast and reliable technique …
Affine Arithmetic in contrast to the formerly reported applications of Reduced Affine Arithmetic …

… We study the performance of affine arithmetic as a replacement for … of affine arithmetic in
interval methods for ray casting implicit surfaces. As we argue in Section 5, affine arithmetic …