References in raw/Page_86.html

• An abstract interpretation framework for the round-off error analysis of floating-point programs
  MA Feliú, M Moscato, CA Muñoz - International Conference on ..., 2018 - Springer
  ... methods such as interval arithmetic, affine arithmetic, Bernstein and Taylor models, etc. ... in PRECiSA other abstract domains such as affine arithmetic and a compositional version of the ...
  

• Challenges in verifying and optimizing fixed-point arithmetic-intensive designs
  Y Pang, O Sarbishei, K Radecka... - 2010 IEEE International ..., 2010 - ieeexplore.ieee.org
  ... The affine arithmetic model (AA) is a derivation of IA, in which the quantities of interest are represented as linear combinations (affine forms) of certain primitive variables standing for ...
  

• Research and design of AES security processor model based on FPGA
  P Wang, Y Zhang, J Yang - Procedia computer science, 2018 - Elsevier
  ... This design using finite field multiplication inverse and affine arithmetic is constructed as follows the S box module diagram, as shown in Fig. 2, the box also applies to inverse S box S ...
  

• Feature-based displacement mapping
  XC Wang, J Maillot, E Fiume, V Ng-Thow-Hing... - ... Workshop on Rendering ..., 2000 - Springer
  ... Heidrich and Seidel, for example, employ affine arithmetic to ray trace procedural displacement maps without adding geometry [8]. Pharr and Hanrahan use memory coherence and ...
  

• Numerical Analysis of Nonlinear Parameter-Dependent Systems with Continuation Methods
  MG Spetzler - 2017 - digital.lib.washington.edu
  ... The method is based on a reliable computing technique called affine arithmetic, which is also discussed in the chapter. Some concluding remarks are provided in Chapter 7. ...
  

• A risk management procedure for island partitioning of automated radial distribution networks with distributed generators
  ZN Popovic, SD Knezevic... - IEEE Transactions on ..., 2020 - ieeexplore.ieee.org
  ... By applying the affine arithmetic [38], the result is z = [5.5, 13] whereas the interval RDM ... in the results obtained by the classical interval arithmetic and affine arithmetic operations. ...
  

• Self-consumption and storage as a way to facilitate the integration of renewable energy in low voltage distribution networks
  FM Camilo, R Castro, ME Almeida... - IET Generation ..., 2016 - Wiley Online Library
  ... [37] proposes a complex affine arithmetic-based unbalanced three-phase forward-backward sweep (FBS) power flow method to deal with the uncertainties of wind and solar DGAQ. The ...
  

• Optimization Operation of Multi-energy Complementary System based on Interval Model
  L Yuan - 2019 IEEE Innovative Smart Grid Technologies-Asia ..., 2019 - ieeexplore.ieee.org
  ... Affine arithmetic can make the uncertain variables (described as affine number) and the rest of the affine number in the operation process, keep the first order of the relationship ...
  

• Constrained global optimization for wine blending
  P Vismara, R Coletta, G Trombettoni - Constraints, 2016 - Springer
  ... Like HC4, Affine arithmetic [13, 19] works with the expression tree of each function. ... way, for each mathematical operator, affine arithmetic combines the affine forms of the children/...
  

• A subinterval decomposition analysis method for uncertain structures with large uncertainty parameters
  CM Fu, LX Cao, JC Tang, XY Long - Computers & Structures, 2018 - Elsevier
  A simple and efficient subinterval decomposition analysis method is proposed to evaluate the lower and upper bounds of structural responses with large uncertain parameters. The ...