… We next consider the affine arithmetic approach proposed in 141. which is able to capture
spatial correlation by representing each signal as a linear combination of uniformly distributed …

… All affine arithmetic operations such as sums, subtractions or scalings can be applied
directly in the abstract Zonotope domain. Since affine arithmetic is exact, the corresponding …

… When performing polynomial approximations, for a fair comparison we use the same
polynomial approximation method for affine arithmetic and our approach, with the exception of …

This paper proposes a non-stationary random response analysis method of structures with
uncertain parameters. The structural physical parameters and the input parameters are …

… on an elliptic curve, rather than the standard affine arithmetic is such that in projective point
… The decision “affine arithmetic” vs. “projective point arithmetic” should be decided based on …

… In this paper, we discuss a simulation method that is based on symbolic computation and
cooperates with the interval Newton method and affine arithmetic, which is able to preserve first…

… Affine arithmetic has been used to model the interval uncertainties and sensitivities in nodal
power injections. Furthermore, the minimisation of the operational cost has been taken care …

… Another approach to model interval fields is to apply an affine arithmetic representation of
the interval uncertainty in combination with the Karhunen-Lo`eve expansion, as presented by …

… Affine arithmetic [3] is one of these tools, and its use in interval methods has resulted in faster
algorithms for several problems in computer graphics [4,5,7,16,17]. Our next step is to use …

We propose a novel technique for the automatic, similarity-based selection of representative
surfaces. While our technique can be applied to any set of manifolds, we particularly focus …