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» Third-Order Computation and Bounded Arithmetic
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DAGSTUHL
2008
13 years 9 months ago
A Note on Some Applications of Interval Arithmetic in Hierarchical Solid Modeling
Techniques of reliable computing, like interval arithmetic, can be used to guarantee reliable solutions even in the presence of numerical round-off errors. The need to trace bounds...
Eva Dyllong
ARITH
2005
IEEE
14 years 1 months ago
Guaranteed Proofs Using Interval Arithmetic
This paper presents a set of tools for mechanical reasoning of numerical bounds using interval arithmetic. The tools implement two techniques for reducing decorrelation: interval ...
Marc Daumas, Guillaume Melquiond, César Mu&...
DFG
2007
Springer
13 years 11 months ago
Why Interval Arithmetic is so Useful
: Interval arithmetic was introduced by Ramon Moore [Moo66] in the 1960s as an approach to bound rounding errors in mathematical computation. The theory of interval analysis emerge...
Younis Hijazi, Hans Hagen, Charles D. Hansen, Kenn...
COMPUTING
2006
100views more  COMPUTING 2006»
13 years 7 months ago
Interval Arithmetic with Containment Sets
The idea of containment sets (csets) is due to Walster and Hansen, and the theory is mainly due to the first author. Now that floating point computation with infinities is widely a...
John D. Pryce, George F. Corliss
ASPDAC
2008
ACM
174views Hardware» more  ASPDAC 2008»
13 years 9 months ago
Chebyshev Affine Arithmetic based parametric yield prediction under limited descriptions of uncertainty
In modern circuit design, it is difficult to provide reliable parametric yield prediction since the real distribution of process data is hard to measure. Most existing approaches ...
Jin Sun, Yue Huang, Jun Li, Janet Meiling Wang