Implementing Taylor models arithmetic with floating-point arithmetic

Author:

Revol Nathalie

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Reference10 articles.

1. M. Berz et al., COSY INFINITY, 2003. http://cosy.pa.msu.edu/.

2. An Effective High-Order Interval Method for Validating Existence and Uniqueness of the Solution of an IVP for an ODE;Nedialkov;Reliable Computing,2001

3. ACETAF: a software package for computing validated bounds for Taylor coefficients of analytic functions;Eble;ACM Trans. Math. Softw.,2003

4. American National Standards Institute and Institute of Electrical and Electronic Engineers, IEEE standard for binary floating-point arithmetic, ANSI/IEEE Standard, Std 754-1985, New York (1985).

5. A floating point technique for extending the available precision;Dekker;Numerische Mathematik,1971

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