Interval arithmetic

Known as: Extensions for Scientific Computing, Interval-valued computation, XSC (floating point) 
Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s and… (More)
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Topic mentions per year

1963-2017
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Papers overview

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Highly Cited
2007
Highly Cited
2007
The power flow is the fundamental tool for the study of power systems. The data for this problem are subject to uncertainty. This… (More)
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Highly Cited
2004
Highly Cited
2004
We show how interval analysis can be used to compute the minimum value of a twice continuously differentiable function of one… (More)
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Highly Cited
2004
Highly Cited
2004
Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations between… (More)
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Highly Cited
2001
Highly Cited
2001
We start with a mathematical definition of a real interval as a closed, connected set of reals. Interval arithmetic operations… (More)
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Highly Cited
1998
Highly Cited
1998
We discuss interval techniques for speeding up the exact evaluation of geometric predicates and describe an eflicient… (More)
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Highly Cited
1997
Highly Cited
1997
We present in this paper a uni ed processing for Real, Integer and Boolean Constraints based on a general narrowing algorithm… (More)
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Highly Cited
1992
Highly Cited
1992
Recursive subdivision using interval arithmetic allows us to render CSG combinations of implicit function surfaces with or… (More)
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Highly Cited
1991
Highly Cited
1991
Constraint interval arithmetic is a sublanguage of BNR Prolog which o ers a new approach to the old problem of deriving numerical… (More)
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Highly Cited
1989
Highly Cited
1989
Current numerical constraint propagation systems accept as input only problems represented by exact numerical values and… (More)
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1971
1971
Complex interval arithmetic is defined using real interval arithmetic. Complex interval division is defined so as to assure… (More)
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