References in raw/Page_25.html

• 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 ...
  

• 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 ‘...
  

• 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 ...
  

• 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 ...
  

• 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 ...