[PDF][PDF] Range Based Analysis of Inner Systems Characteristics

M Rathmair - publik.tuwien.ac.at
… -symbolic calculation methodology based on Affine Arithmetic is used. Abstract symbols
describe … An object oriented implementation of an Affine Arithmetic datatype and corresponding …

Certified meshing of Radial Basis Function based isosurfaces

A Chattopadhyay, S Plantinga, G Vegter - The Visual Computer, 2012 - Springer
… Our early experiments show that even the straightforward use of affine arithmetic (AA) [7], a
fine tuned version of IA, does not improve running times sufficiently. Therefore, we developed …

Modeling, Simulation and Uncertain Optimization of the Gun Engraving System

T Xin, G Yang, F Xu, Q Sun, A Minak - Mathematics, 2021 - mdpi.com
… method based on affine arithmetic is adopted, and the phrase “affine arithmetic-based method”
is … Second, the affine arithmetic is utilized to obtain the interval of objective function and …

Visualizing nonmanifold and singular implicit surfaces with point clouds

RJ Balsys, DJ Harbinson… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
… approach than with the use of interval or affine arithmetic exclusion tests. This is evident in
Figs. … Compared to interval pruning the interval and affine arithmetic approaches produce poor …

Toward a standard benchmark format and suite for floating-point analysis

N Damouche, M Martel, P Panchekha, C Qiu… - … Workshop on Numerical …, 2016 - Springer
… Rosa [11] combines an exact SMT solver on reals with sound affine arithmetic to verify
accuracy post-conditions from assertions about the accuracy of inputs. Rosa can guarantee that …

[HTML][HTML] Tracing harmonic distortion and voltage unbalance in secondary radial distribution networks with photovoltaic uncertainties by an iterative multiphase …

JC Hernandez, FJ Ruiz-Rodriguez, F Jurado… - Electric Power Systems …, 2020 - Elsevier
… This technique merges the point-estimate method (PEM) and complex affine arithmetic (AA),
combined with Legendre series approximation (LGSA). It also models the input correlation. …

Formally verified computation of enclosures of solutions of ordinary differential equations

F Immler - NASA Formal Methods Symposium, 2014 - Springer
… We define a function ˆQ using affine arithmetic to overapproximate Q. Then we iterate ˆQpr,
starting with box p X0, until we find a post fixed point. That means when we encounter boxes …

Uncertainty Updating of Finite Element Models Using Interval Analysis

D Shan, YH Chai, H Dong, Z Li - International Journal of Structural …, 2020 - World Scientific
affine arithmetic into finite element updating, as motivated by the understanding of affine
arithmetic … The incorporation of affine arithmetic into finite element updating will be referred to as …

Special section on recent progress in verified numerical computations

T Ogita, K Ozaki, SM Rump - Nonlinear Theory and Its Applications …, 2015 - jstage.jst.go.jp
… Rump and Masahide Kashiwagi is concerned with affine arithmetic, which can reduce the
wrapping effect of naive interval arithmetic. On the regular papers, the following variety of …

[PDF][PDF] Quantifying the effects of uncertainty in building simulation

IA Macdonald - 2002 - esru.strath.ac.uk
… Three methods were studied: interval, fuzzy and affine arithmetic. It was found when forming
the energy balance equation set, correlations between the source of uncertainty and the …