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Affine arithmetic
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LQCM4IA50BE
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Geliefert zwischen Fr., 23.01.2026 und Mo., 26.01.2026
Details
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130704445
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- EAN 9786130704445
- Format Fachbuch
- Titel Affine arithmetic
- Herausgeber Alphascript Publishing
- Anzahl Seiten 124
- Genre Mathematik
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