Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s andâ€¦Â (More)

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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. Thisâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Eshwari R
- 2004

We show how interval analysis can be used to compute the minimum value of a twice continuously differentiable function of oneâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Luiz Henrique de Figueiredo, Jorge Stolfi
- Numerical Algorithms
- 2004

Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations betweenâ€¦Â (More)

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Highly Cited

2001

Highly Cited

2001

- Timothy J. Hickey, Qun Ju, M. H. van Emden
- J. ACM
- 2001

We start with a mathematical definition of a real interval as a closed, connected set of reals. Interval arithmetic operationsâ€¦Â (More)

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Highly Cited

1998

Highly Cited

1998

- HervÃ© BrÃ¶nnimann, Christoph Burnikel, Sylvain Pion
- Symposium on Computational Geometry
- 1998

We discuss interval techniques for speeding up the exact evaluation of geometric predicates and describe an eflicientâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- FrÃ©dÃ©ric Benhamou, William J. Older
- J. Log. Program.
- 1997

We present in this paper a uni ed processing for Real, Integer and Boolean Constraints based on a general narrowing algorithmâ€¦Â (More)

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Highly Cited

1992

Highly Cited

1992

- Tom Duff
- SIGGRAPH
- 1992

Recursive subdivision using interval arithmetic allows us to render CSG combinations of implicit function surfaces with orâ€¦Â (More)

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Highly Cited

1991

Highly Cited

1991

- William J. Older, AndrÃ© Vellino
- WCLP
- 1991

Constraint interval arithmetic is a sublanguage of BNR Prolog which o ers a new approach to the old problem of deriving numericalâ€¦Â (More)

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Highly Cited

1989

Highly Cited

1989

- Eero HyvÃ¶nen
- IJCAI
- 1989

Current numerical constraint propagation systems accept as input only problems represented by exact numerical values andâ€¦Â (More)

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1971

1971

- Jon G. Rokne, Peter Lancaster
- Commun. ACM
- 1971

Complex interval arithmetic is defined using real interval arithmetic. Complex interval division is defined so as to assureâ€¦Â (More)

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