Title of the Article : Affine arithmetic

Affine arithmetic (AA) is a model for self-validated numerical analysis. In AA, the quantities of interest are represented as affine combinations (affine forms) of certain primitive variables, which stand for sources of uncertainty in the data or approximations made during the computation. Affine arithmetic is meant to be an improvement on interval arithmetic (IA), and is similar to generalized interval arithmetic, first-order Taylor arithmetic, the center-slope model, and ellipsoid calculus — in the sense that it is an automatic method to derive first-order guaranteed approximations to general formulas. Affine arithmetic is potentially useful in every numeric problem where one needs guaranteed enclosures to smooth functions, such as solving systems of non-linear equations, analyzing dynamical systems, integrating functions differential equations, etc. Applications include ray tracing, plotting curves, intersecting implicit and parametric surfaces, error analysis, process control, worst-case analysis of electric circuits, and more.

[Last contributor : Lhf , Content under LGPL licence]

Detailed statistics

Number of views for this article Number of quality votes for this article Number of votes 'not clear' for this article Number of votes 'wrong' for this article
daily 1 0 0 0
global 322 30 11 9
This is a quality article
This article is not clear!
This article is wrong

Participate in this top by giving your opinion on the quality of this article short resume and by giving a general rating.
Register in order to improve your reputation and so the weight of your opinion.

Please wait...
Item popularity: 1.2/5 (24 vote cast)

Categories related to this article

Numerical analysisGeometry

Comments