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Accurate and Reliable Computing in Floating-Point Arithmetic

2010
Methods will be discussed on how to compute accurate and reliable results in pure floating-point arithmetic. In particular, verification methods with INTLAB and error-free transformations will be presented in some detail.
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Rational Arithmetic in Floating-Point.

1986
Abstract : Calculating M/N := A/B + or - C/D in lowest terms, given the integers A, B, C and D, is a task in Elementary schools; and it is an easy exercise in Computer Programming too provided the given integers must be less than half as wide as the widest integers that can be handled conveniently by the computer's hardware or by its programming ...
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FLOATING-POINT ARITHMETIC

1981
Ulrich W. Kulisch, Willard L. Miranker
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Floating-point arithmetic in COBOL

Communications of the ACM, 1962
openaire   +2 more sources

What every computer scientist should know about floating-point arithmetic

ACM Computing Surveys, 1991
David Goldberg
exaly  

Simulating Low Precision Floating-Point Arithmetic

SIAM Journal of Scientific Computing, 2019
Nicholas Higham, Srikara Pranesh
exaly  

A Software Implementation of the IEEE 754R Decimal Floating-Point Arithmetic Using the Binary Encoding Format

IEEE Transactions on Computers, 2009
Ping Tak Peter Tang
exaly  

Floating-Point Arithmetic

2017
Sylvie Boldo, Guillaume Melquiond
openaire   +1 more source

What every agent-based modeller should know about floating point arithmetic

Environmental Modelling and Software, 2006
J Gary Polhill, Luis R Izquierdo
exaly  

High-Precision Floating-Point Arithmetic in Scientific Computation

Computing in Science and Engineering, 2005
D H Bailey
exaly