Affine approach to solve nonlinear eigenvalue problems of structures with uncertain parameters

S Rout, S Chakraverty - Recent Trends in Wave Mechanics and Vibrations, 2020 - Springer
… In this respect, affine arithmetic may be used to handle the uncertainties due to the … eigenvalue
problems with interval parameters using affine arithmetic. Numerical examples have been …

Comparison of interval methods for plotting algebraic curves

R Martin, H Shou, I Voiculescu, A Bowyer… - … Aided Geometric Design, 2002 - Elsevier
… , Horner form and centred form), an affine arithmetic method, a Bernstein coefficient method,
… Our experimental results show that the affine arithmetic method, interval arithmetic using the …

Enclosure for the solution set of parametric linear systems with non-affine dependencies

I Skalna - International Conference on Parallel Processing and …, 2011 - Springer
… In order to reduce memory usage, nonlinear dependencies between parameters are
handled using revised affine arithmetic. Some numerical experiments which aim to show the …

A solution of optimal power flow incorporating wind generation and power grid uncertainties

J Luo, L Shi, Y Ni - IEEE Access, 2018 - ieeexplore.ieee.org
… Evidence theory and extended affine arithmetic are employed and mixed as the framework
… variables is handled by copula theory and affine arithmetic. Moreover, the uncertainty of wind …

[PDF][PDF] Semi-Symbolic Modeling and Analysis of Noise in Heterogeneous Systems.

C Grimm, W Heupke, K Waldschmidt - FDL, 2004 - researchgate.net
Affine Arithmetic Affine arithmetic is a technique to compute with uncertain values. In each
affine expression the influence of independent sources of uncertainty i to a variable x with the ‘…

[PDF][PDF] Bernstein based arithmetic featuring de Casteljau.

D Michelucci, S Foufou, L Lamarque… - …, 2005 - ufrsciencestech.u-bourgogne.fr
… 2 makes a short recall about the main existing methods for the plotting of algebraic curves
and surfaces: we choose to focus on standard IA, Taubin’s method and affine arithmetic. Then …

Affine Arithmetic を利用した解の非存在領域の除去性能の評価: Evaluation of Removal Performance of Non-existence Region of Solution using Affine Arithmetic

水口義雄 - 2016 - oatd.org
OATD: 水口, 義雄 - Affine Arithmeticを利用した解の非存在領域の除去性能の評価 : Evaluation
of Removal Performance of Non-existence Region of Solution using Affine Arithmetic Open …

[PDF][PDF] A mixed affine reformulation method for global optimization

J Ninin, F Messine - GLOBAL OPTIMIZATION WORKSHOP, 2010 - hpca.ual.es
… In this paper, the method is based on a relaxation technique using the affine arithmetic,
which does not introduce new variable [4]. We will present an extension of this new technique to …

Internal state estimation for distribution network with PMU measurement information

L Yu, X Kong, Y Chen - 2019 IEEE Innovative Smart Grid …, 2019 - ieeexplore.ieee.org
… This paper studies the distribution network based on interval operation and affine arithmetic
combination in the distribution network due to the large difference in measurement error …

[PDF][PDF] Automatic analysis of imprecision errors in software

E Goubault, S Putot - 2007 - lix.polytechnique.fr
… is based on ideas from affine arithmetic [2]. Affine arithmetic is an improvement of interval …
In affine arithmetic, a noise symbol εi, lying in [-1,1] is introduced to represent the fact that x …