… Traditionally, because of the implementation simplicity, stochastic methods including
Monte-Carlo (MC) simulation [10]–[12], interval [13] and affine arithmetic (AA) [14] are typical …

… Affine arithmetic (reduced/revised version) …

… In [6], the authors introduced the affine arithmetic method to formulate IPF calculation as linear
… This method provided tighter output intervals than interval arithmetic and affine arithmetic …

2. OBJECTIVES Set a common platform integrating major tools of the French Floating-Point
community to tackle the FP challenges and recent evolutions of software and hardware. We …

… The main focus of this thesis is on the application of the Affine Arithmetic (AA) method to
power system operational problems. The AA method is a very efficient and accurate tool to …

… 3.2 Affine arithmetic approach Affine arithmetic (AA) [25, 26] is a method for range
analysis known for its ability to manipulate both external (eg imprecise or missing input data, …

… -processing to decrease the make the enclosures closer to the original ranges; these techniques
include the centered form and its variants, higher-order Taylor methods, affine arithmetic…

… The financial risk of the operator due to uncertainties in renewable generation is modelled
using affine arithmetic in [6]. The same risk is modelled as the measure of ‘profit per unit risk’ …

… In section III is explained in details the methodology which is used for this analysis especially
affine arithmetic for making calculations with interval parameters written in general form. …

This paper proposes a bidirectional sequential Kriging (BSK) method for nonlinear interval
uncertainty quantification of dynamic systems. Different from existing surrogate based …