Interval analysis: theory and applications

By G. Alefeld, G. Mayer. 2000

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A multi-period portfolio selection optimization model by using interval analysis (2013, background): “On this subject, Alefeld and Mayer (2000) presented both theory and some applications of interval analysis.”
Boundary Analysis of Distribution Reliability and Economic Assessment (2010, methodology): “Originally, the interval analysis was proposed to rigorously estimate rounding and truncation errors in numerical computing [ 14 ].”
Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions (2013, methodology): “Amongst non-probabilistic methods, the convex modeling technique [17, 18], including the ellipsoid [19] and interval models [20], has been widely used to take into account the uncertainties for uncertain-but-bounded parameters.”
A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2013, methodology): “Interval Taylor series [16–18] and Taylor model [19] methods are the two typical rigorous enclosure methods.”