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 …

[HTML][HTML] 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
arithmetic may be developed to handle the uncertainty with ease. Using this affine arithmetic

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. …