Affine arithmetic | Numerical analysis, Affine combination, Interval arithmetic, Simultaneous equations, Dynamical system, Integral, Differential equation, Ray tracing (graphics), 2D computer graphics | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130704445 | Verantwortliche Person f�r die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabr�ck, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.

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Title

Publisher

OmniScriptum

Publication Date

2026

Language

English

ISBN 10

6130704445

ISBN 13

9786130704445

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Taschenbuch

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Neu

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203 grams

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.

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