References in raw/Page_24.html

• Affine Arithmetic を用いた非線形常微分方程式の解の数値的存在検証法
  神沢雄智， 大石進一 - 電子情報通信学会技術研究報告. NLP, 非線形問題, 1999 - ci.nii.ac.jp
  ... ordinary differential equa tions using affine arithmetic instead of using interval arithmetic. In the ... Otherwise, we use affine arithmetic to Newton operator directly since affine arithmetic is ...
  

• Quantitative evaluation of uncertainty mitigation by ESS via complex affine distribution power flow
  K Wang, S Wang, S Cai - 2016 IEEE Power and Energy Society ..., 2016 - ieeexplore.ieee.org
  ... mitigation effect by ESS via the complex affine arithmetic based distribution power flow. The main ... power flow based on the complex affine arithmetic is proposed in distribution systems ...
  

• DEVELOPMENT OF ALGORITHM FOR THE ORDER REDUCTION OF HIGH ORDER DYNAMIC SYSTEMS ADOPTING AFFINE ARITHMETICS
  MAK Shaik, T Narasimhulu... - ... Xuebao/Journal of ..., 2022 - hebgydxxb.periodicales.com
  ... by adopting Dynamic Routh Approximation (DRA) and Affine Arithmetic (AA). This new algorithm is ... Applications of Affine Arithmetic avoid many of the limitations associated with Interval ...
  

• A dependency bounds analysis method for reliability assessment of complex system with hybrid uncertainty
  Y Song, J Mi, Y Cheng, L Bai, K Chen - Reliability Engineering & System ..., 2020 - Elsevier
  ... Affine arithmetic is hence used to produce dependent interval estimates. The arithmetic ... dependency bounds analysis method that combines affine arithmetic and probability-box method ...
  

• Affine approach in solving linear structural dynamic problems with uncertain parameters
  S Rout, S Chakraverty - New Paradigms in Computational Modeling and Its ..., 2021 - Elsevier
  ... model parameters with the help of affine arithmetic operations. The solutions of linear ... affine
  

• Interval-valued reliability analysis of multi-state systems
  C Li, X Chen, X Yi, J Tao - IEEE Transactions on Reliability, 2011 - ieeexplore.ieee.org
  ... Affine arithmetic is used to improve the interval-valued reliability. A numerical example illustrates the proposed method. The results show that the proposed method is efficient when ...
  

• An Improved Affine Algorithm for the Non-Probabilistic Reliability Index of Interval Model
  S Jianping, Y Luo, T Zhaoping, H Yutao... - International Journal of ..., 2016 - earticle.net
  ... 영어 Aimed at that standard interval arithmetic is easy to cause error explosion, as well as traditional affine arithmetic is easy to cause calculation error due to not considering the ...
  

• Static analysis of numerical algorithms
  E Goubault, S Putot - International Static Analysis Symposium, 2006 - Springer
  ... We present here a domain using affine arithmetic for the floating-point computation. ... In section 2.1, we present briefly the principles of affine arithmetic for real numbers computations. ...
  

• Algorithm for min-range multiplication of affine forms
  I Skalna - Numerical Algorithms, 2013 - Springer
  ... Abstract Affine arithmetic produces guaranteed enclosures for computed quantities, taking into account any uncertainties in the input data as well as round-off errors. Elementary ...
  

• Fast, accurate static analysis for fixed-point finite-precision effects in DSP designs
  CF Fang, RA Rutenbar, T Chen - ICCAD-2003. International ..., 2003 - ieeexplore.ieee.org
  ... The technique is based on recent interval representation methods from affine arithmetic, and the use of new ... In the next section, we apply affine arithmetic to fixed-point error analysis. ...