References in raw/Page_87.html

• The Need for Uncertainty-Based Analysis in Power System Networks
  YM Abebe, P Mallikarjuna Rao... - Advances in Power ..., 2018 - Springer
  ... A powerful algorithm-based on affine arithmetic (AA) is used to model the uncertain variables, for the aforementioned analysis, and a punctual analysis mechanism proved to be ...
  

• Fast integer word-length optimization for fixed-point systems
  R Nehmeh, D Menard, E Nogues, A Banciu... - Journal of Signal ..., 2016 - Springer
  ... First, the dynamic range is evaluated using the interval arithmetic or the affine arithmetic ... The solution w IA obtained from interval arithmetic or affine arithmetic is used as a starting ...
  

• Robust feeder reconfiguration in radial distribution networks
  CHN de Resende Barbosa, MHS Mendes... - International Journal of ..., 2014 - Elsevier
  ... radial power flow analysis supported by interval mathematics [32] or affine arithmetic [33]. He was the first to introduce an affine arithmetic approach [33] to find the distribution network’s ...
  

• Reachability analysis of hybrid systems with linear continuous dynamics
  C Le Guernic - 2009 - tel.archives-ouvertes.fr
  This thesis is devoted to the problem of computing reachable sets of linear and hybrid systems. In the first part, after exposing existing approaches for reachability analysis of linear ...
  

• Desktop Manufacturing from Easily Transmitted High Resolution Digital Files and its Application Case Studies
  A Paskoα, T Vilbrandtβ, C Vilbrandtγ, G Paskoχ... - 2006 - researchgate.net
  ... Affine Arithmetic method Affine Arithmetic (AA) is also a method for interval analysis [CS93]. The method is proposed to avoid extremely increasing intervals like it happens with IA. In AA...
  

• Validated Solution of Initial Value Problem for Ordinary Differential Equations based on Explicit and Implicit Runge-Kutta Schemes
  JAD Sandretto, A Chapoutot - 2015 - researchgate.net
  ... Note that more recent work exists on increasing the accuracy of affine arithmetic [10, 19...
  

• Robust adaptive polygonal approximation of implicit curves
  H Lopes, JB Oliveira, LH de Figueiredo - Computers & Graphics, 2002 - Elsevier
  ... adaptive enumerations can be computed more efficiently by using tighter interval estimates provided by affine arithmetic. ... Adaptive enumeration of implicit surfaces with affine arithmetic ...
  

• Self-Scheduling Operations of a Compressed Air Energy Storage Facility Under Uncertainties
  M Zambroni - 2022 - uwspace.uwaterloo.ca
  ... The novel model is further expanded considering uncertainties in electricity prices using RO and Affine Arithmetic (AA) approaches. The AA method keeps track of correlated ...
  

• Certified roundoff error bounds using semidefinite programming
  V Magron, G Constantinides, A Donaldson - ACM Transactions on ..., 2017 - dl.acm.org
  ... The tool uses affine arithmetic to provide sound overapproximations of roundoff errors, allowing for generation of finite precision implementations that fulfill the required precision given ...
  

• Synthesis of certified programs in fixed-point arithmetic, and its application to linear algebra basic blocks
  MA Najahi - 2014 - tel.archives-ouvertes.fr
  ... 30 1.13 Computed enclosure on v5 using affine arithmetic (in green) and curve of the ... ) with the enclosures obtained by interval and affine arithmetic (in green and blue respectively)...