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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… Expand
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Related topics

Related topics

48 relations
Abstract interpretationAffine arithmeticArbitrary-precision arithmeticAutomatic differentiation
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
Introduction to Interval Analysis
This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years. An update of… Expand
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Highly Cited
2005
Highly Cited
2005
Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library
This paper justifies why an arbitrary precision interval arithmetic is needed. To provide accurate results, interval computations… Expand
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Highly Cited
2004
Highly Cited
2004
Affine Arithmetic: Concepts and Applications
Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations between… Expand
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Highly Cited
2003
Highly Cited
2003
Improving Symbolic Regression with Interval Arithmetic and Linear Scaling
The use of protected operators and squared error measures are standard approaches in symbolic regression. It will be shown that… Expand
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Highly Cited
2001
Highly Cited
2001
Interval arithmetic: From principles to implementation
We start with a mathematical definition of a real interval as a closed, connected set of reals. Interval arithmetic operations… Expand
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Highly Cited
2001
Highly Cited
2001
Interval Estimation for a Binomial Proportion
We revisit the problem of interval estimation of a binomial proportion. The erratic behavior of the coverage probability of the… Expand
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Highly Cited
1999
Highly Cited
1999
Computer arithmetic - algorithms and hardware designs
Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic… Expand
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Highly Cited
1997
Highly Cited
1997
TO SEE OR NOT TO SEE: The Need for Attention to Perceive Changes in Scenes
When looking at a scene, observers feel that they see its entire structure in great detail and can immediately notice any changes… Expand
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Highly Cited
1992
Highly Cited
1992
Global optimization using interval analysis
  • E. Don Hansen
  • Pure and applied mathematics
  • 1992
    • Corpus ID: 123446486
Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies… Expand
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Highly Cited
1991
Highly Cited
1991
Interval arithmetic in power flow analysis
Power flow analysis is the fundamental tool for the study of power systems. The data for this problem are subject to uncertainty… Expand
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