We study the error propagation of time integrators of solitary wave solutions for the regularized long wave equation, ut +ux+ 2 (u)x −uxxt = 0, by using a geometric interpretation of these waves as relative equilibria. We show that the error growth is linear for schemes that preserve invariant quantities of the problem and quadratic for ‘nonconservative’ methods. Numerical experiments are prese...

A computational method for processing measurement data is discussed that applies the law of propagation of uncertainty, which is described in the Guide to the Expression of Uncertainty in Measurement. The method introduces the notion of an ‘uncertain number’, which is an entity that encapsulates information about the value and uncertainty of a quantity. Basic mathematical operations can be defi...

In CELP coders, the past excitation signal used to build the adaptive codebook is known to be the main source of error propagation when a frame is lost. This paper presents a novel resynchronization technique using very low bit rate side information to correct the past excitation signal after a frame erasure, the novelty being that the correction is computed in a closed loop fashion, based on t...

Multiscale design for dealing with 2-scale material and product system is implemented by employing the probabilistic analytical target cascading (PATC) and polynomial chaos expansion (PCE) approaches in this paper. PATC allows design autonomy at each scale subsystem by formulating the multiscale design problem as a hierarchical structure. PCE ensures uncertainties to be propagated within and ac...

Citation: Ravahatra NR, Duprat F, Schoefs F, de Larrard T and Bastidas-Arteaga E (2017) Assessing the Capability of Analytical Carbonation Models to Propagate Uncertainties and Spatial Variability of Reinforced Concrete Structures. Front. Built Environ. 3:1. doi: 10.3389/fbuil.2017.00001 Assessing the Capability of Analytical Carbonation Models to Propagate Uncertainties and Spatial Variability...

and we have our "three" as . 003 I . 001. If this ratio is one, we have statistical independence between the events "car brand A" and "car has transaission trouble". The coefficient "three" in the exaaple above is a factor linking two conditional probabilities. Such factors are widely used in current expert systea codes. They are known as "likelihood ratios", "certainty factors", "confidence fa...

Current join tree propagation algorithms treat all propagated messages as being of equal importance. On the contrary, it is often the case in real-world Bayesian networks that only some of the messages propagated from one join tree node to another are relevant to subsequent message construction at the receiving node. In this article, we propose the first join tree propagation algorithm that ide...

The cumulative error at a point in a LiDAR-derived DEM consists of three components: propagated LiDAR-sensor error, propagated ground error, and interpolation error. To combine these error components so as to assess the vertical accuracy of a LiDAR-derived DEM, statistical methods based on the error propagation theory are often used. Due to the existence of systematic error, statistical methods...

The first part of this report reviews recent developments at the interface between lattice work on QCD with light dynamical quarks, effective field theory and low energy precision experiments. Then I discuss how dispersion theory can be used to analyze the low energy structure of the ππ scattering amplitude in a model independent manner. This leads to an exact formula for the mass and width of ...