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Is Floating-Point. Arithmetic Still Adequate?
1988For complicated numerical problems, the error analysis has to be performed by the computer. Several methods for automated error analysis are known. Floating-point arithmetic has to be augmented and programming languages for scientific computation have to be provided (PASCAL-SC and FORTRAN-SC) for that purpose.
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Accurate and Reliable Computing in Floating-Point Arithmetic
2010Methods 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.
1986Abstract : 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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What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys, 1991David Goldberg
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Simulating Low Precision Floating-Point Arithmetic
SIAM Journal of Scientific Computing, 2019Nicholas Higham, Srikara Pranesh
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What every agent-based modeller should know about floating point arithmetic
Environmental Modelling and Software, 2006J Gary Polhill, Luis R Izquierdo
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