[HTML][HTML] An interval Taylor-based method for transient stability assessment of power systems with uncertainties

X Liao, K Liu, H Niu, J Luo, Y Li, L Qin - International Journal of Electrical …, 2018 - Elsevier
… Besides the affine arithmetic, there also exist some other efficient methods, such as interval
vertex method [25], parameter perturbation method [26], and collocation method [27], [28] …

A progressive refinement approach for the visualisation of implicit surfaces

MN Gamito, SC Maddock - … in Computer Graphics and Computer Vision, 2007 - Springer
affine arithmetic to compute an estimate of the variation of the implicit function f inside some
region (Comba and Stolfi, 1993). Affine arithmeticAffine arithmetic, when compared against …

Computing multiple steady states in homogeneous azeotropic and ideal two‐product distillation

A Baharev, L Kolev, E Rév - AIChE Journal, 2011 - Wiley Online Library
… Core components of the framework are affine arithmetic, constraint propagation, and linear
… 2 is automatically obtained with the mixed affine arithmetic and interval arithmetic model.44 …

A mixed uncertainty power flow algorithm-based centralized photovoltaic (pv) cluster

H Wu, L Zhou, Y Wan, Q Liu, S Zhou - Energies, 2019 - mdpi.com
… node, this paper proposes a power flow calculation in the mixed power flow coordinate,
and then the Krawczyk-Moore operator is used to combine interval and affine arithmetic to …

[HTML][HTML] Efficient contouring of functionally represented objects for additive manufacturing

D Popov, E Maltsev, O Fryazinov, A Pasko… - Computer-Aided …, 2020 - Elsevier
… We present a novel criterion based on affine arithmetic that reduces the number of cells
processed during the adaptive subdivision algorithm for contour extraction while preserving the …

A new speed observer with guaranteed bounds using interval arithmetic

JMC Sanz, PMG Izco - IEEE 2002 28th Annual Conference of …, 2002 - ieeexplore.ieee.org
… The technique used for this is the affine arithmetic. In the first part of the paper some basic
affine arithmetic concepts are introduced. Then, this method is applied to the calculation of the …

Semi-symbolic Simulation and Analysis of Deviation Propagation of Feature Coordination in Cyber-physical Systems

M Rathmair, C Luckeneder, H Kaindl, C Radojicic - 2018 - aisel.aisnet.org
… First, we provide some background on Affine Arithmetic, in order to keep our paper self-contained.
Then we present our ACC model using Affine Arithmetic Forms. Since it requires a …

[HTML][HTML] A reliable affine relaxation method for global optimization

J Ninin, F Messine, P Hansen - 4OR, 2015 - Springer
… In this paper, the main idea is to use affine arithmetic (… as with interval arithmetic, affine
arithmetic can be implemented in … recalls basic definitions about affine arithmetic and affine forms. …

SQNR estimation of non-linear fixed-point algorithms

G Caffarena, JA López… - 2010 18th European …, 2010 - ieeexplore.ieee.org
… The proposed estimator is based on the use of Affine Arithmetic (AA) and it is aimed at
differentiable non-linear algorithms with and without feedbacks. The estimation relies on the …

The zonotope abstract domain taylor1+

K Ghorbal, E Goubault, S Putot - International conference on computer …, 2009 - Springer
… If performed with real number coefficients, affine arithmetic is exact on linear operations :
addition and subtraction operations are defined componentwise. For non-linear unary …