References in raw/Page_51.html

• An interval power flow method based on linearized DistFlow equations for radial distribution systems
  J Du, J Tian, Z Wu, A Li, G Abbas... - 2020 12th IEEE PES Asia ..., 2020 - ieeexplore.ieee.org
  ... in interval arithmetic, an affine arithmetic-based algorithm is proposed in [8]. ... affine
  

• Reliable detection and separation of components for solid objects defined with scalar fields
  O Fryazinov, A Pasko - Computer-Aided Design, 2015 - Elsevier
  ... The inclusion property for Affine Arithmetic means that, if the ... In terms of Affine Arithmetic formally it can be represented as ... Applying Revised Affine Arithmetic by replacing the functions ...
  

• On the Design and Implementation of SmartFloat and AffineFloat
  E Darulová, V Kuncak - 2011 - core.ac.uk
  ... On the other hand, using our affine-arithmeticbased type we compute an absolute error of 1.34 ∗ 10−15, which is (by the correctness of our approach) sound, yet several orders of ...
  

• The multivariate bisection algorithm
  ML Galván - arXiv preprint arXiv:1702.05542, 2017 - arxiv.org
  ... A way to fight with this is affine arithmetic. In affine arithmetic an interval is stored as a ... using the affine arithmetic. Other way to improve the enclosure of the range and get sharper lower ...
  

• On interval numerical methods for dynamical systems in the plane
  JE de Almeida Ayres - 2022 - impa.br
  ... We develop several condensation strategies for affine arithmetic and compare their performance in the numerical simulation of some discrete dynamical systems in the plane. ...
  

• Sufficient conditions for pseudoconvexity by using linear interval parametric techniques
  M Hladík, L Kolev, I Skalna - AIP Conference Proceedings, 2019 - aip.scitation.org
  ... To obtain more efficient methods, we employed affine forms and affine arithmetic and adapted the tests accordingly to utilize affine forms. We intend to carry out thorough numerical ...
  

• Taylor-Type Techniques for Handling Uncertainty in Expert Systems, with Potential Applications to Geoinformatics
  M Ceberio, V Kreinovich, S Chopra, B Ludäscher - scholarworks.utep.edu
  ... For example, for affine arithmetic, the main idea is that for each intermediate result yj, we not only keep the interval of its possible values, we also keep the relation between this value ...
  

• Hierarchical two-stage robust optimisation dispatch based on co-evolutionary theory for multiple CCHP microgrids
  B Tan, H Chen, X Zheng - IET Renewable Power Generation, 2020 - Wiley Online Library
  ... affine arithmetic unit commitment (AAUC) problem was proposed for day-ahead dispatch [11]. This algorithm provided robust commitment and dispatch solutions in an affine arithmetic ...
  

• Robust and adaptive polygonization of implicit curves and surfaces
  K Mochizuki - 2004 - organis.org
  ... In our program, Affine Arithmetic is treated as a single ... Affine Arithmetic parameter. In our test case, there is no difference between a double parameter function and an Affine Arithmetic ...
  

• Bit-length optimization method for high-level synthesis based on non-linear programming technique
  N Doi, T Horiyama, M Nakanishi... - IEICE transactions on ..., 2006 - search.ieice.org
  ... our error model and error propagation method based on affine arithmetic. Then, Sect.5 explains the bit-length optimization method with the non-linear programming formulation. Section ...